- O. Steinbach,
Fast solution techniques for the symmetric boundary element
method in linear elasticity.
Comput. Methods Appl. Mech. Engrg. 157 (1998) 185-191.
- O. Steinbach, W. L. Wendland,
The construction of some efficient preconditioners in the
boundary element method.
Adv. Comput. Math. 9 (1998) 191-216.
- O. Steinbach,
Adaptive finite element-boundary element solution
of boundary value problems.
J. Comput. Appl. Math. 106 (1999) 307-316.
- O. Steinbach,
Fast evaluation of Newton potentials in boundary element methods.
East-West J. Numer. Math. 7 (1999) 211-222.
- C. Eck, O. Steinbach, W. L. Wendland,
A symmetric boundary element method for contact problems
with friction.
Math. Comput. Simulation 50 (1999) 41-59.
- M. Ganesh, O. Steinbach,
Nonlinear boundary integral equations for harmonic problems.
J. Integral Equations Appl. 11 (1999) 437-459.
- W. McLean, O. Steinbach,
Boundary element preconditioners for a hypersingular integral
equation on an interval. Adv. Comput. Math. 11 (1999) 271-286.
- O. Steinbach,
On a hybrid boundary element method.
Numer. Math. 84 (2000) 679-695.
- H. Schulz, O. Steinbach,
A new a posteriori error estimator in adaptive
direct boundary element methods. The Dirichlet problem.
Calcolo 37 (2000) 79-96.
- O. Steinbach,
Adaptive boundary element methods based on computational
schemes for Sobolev norms.
SIAM J. Sci. Comput. 22 (2000) 604-616.
- O. Steinbach,
Mixed approximations for boundary elements.
SIAM J. Numer. Anal. 38 (2000) 401-413.
- G. C. Hsiao, O. Steinbach, W. L. Wendland,
Domain decomposition methods via boundary integral equations.
J. Comput. Appl. Math. 125 (2000) 521-537.
- O. Steinbach,
A note on initial higher order convergence results for boundary
element methods with approximated boundary conditions.
Num. Methods Part. Diff. Eq. 16 (2000) 581-588.
- O. Steinbach,
On the stability of the L2 projection in
fractional Sobolev spaces.
Numer. Math. 88 (2001) 367-379.
- M. Ganesh, O. Steinbach,
Boundary element methods for potential problems
with nonlinear boundary conditions.
Math. Comp. 70 (2001) 1031-1042.
- M. Ganesh, O. Steinbach,
The numerical solution of a nonlinear hypersingular boundary
integral equation.
J. Comput. Appl. Math. 131 (2001) 267-280.
- O. Steinbach, W. L. Wendland,
On C. Neumann's method for second order elliptic systems in
domains with non-smooth boundaries.
J. Math. Anal. Appl. 262 (2001) 733-748.
- J. H. Bramble, J. E. Pasciak, O. Steinbach,
On the stability of the L2 projection in H1.
Math. Comp. 71 (2002) 147-156.
- M. Kuhn, O. Steinbach,
Symmetric coupling of finite and boundary elements for exterior
magnetic field problems.
Math. Methods Appl. Sci. 25 (2002) 357-371.
- M. Jung, O. Steinbach,
A finite element-boundary element algorithm for inhomogeneous
boundary value problems.
Computing 68 (2002) 1-17.
- O. Steinbach,
On a generalized L2 projection and some related
stability estimates in Sobolev spaces.
Numer. Math. 90 (2002) 775-786.
- B. Reidinger, O. Steinbach,
A symmetric boundary element method for the Stokes problem
in multiple connected domains.
Math. Methods Appl. Sci. 26 (2003) 77-93.
- G. J. Rodin, O. Steinbach,
Boundary element preconditioners for problems defined on
slender domains.
SIAM J. Sci. Comput. 24 (2003) 1450-1464.
- O. Steinbach,
A robust boundary element method for nearly incompressible
linear elasticity.
Numer. Math. 95 (2003) 553-562.
- U. Langer, O. Steinbach,
Boundary element tearing and interconnecting methods.
Computing 71 (2003) 205-228.
- O. Steinbach,
A note on the ellipticity of the single layer potential
in two-dimensional linear elastostatics.
J. Math. Anal. Appl. 294 (2004) 1-6.
- O. Steinbach,
A natural domain decomposition method with non-matching grids.
Appl. Numer. Math. 54 (2005) 362-377.
- G. Of, O. Steinbach, W. L. Wendland,
Applications of a fast multipole Galerkin boundary element method
in linear elastostatics. Comput. Visual. Sci. 8 (2005) 201-209.
- G. Of, O. Steinbach, W. L. Wendland,
The fast multipole method for the symmetric boundary integral
formulation. IMA J. Numer. Anal. 26 (2006) 272-296.
- U. Langer, G. Of, O. Steinbach, W. Zulehner,
Inexact data-sparse boundary element tearing and interconnecting methods.
SIAM J. Sci. Comput. 29 (2007) 290-314.
- S. Engleder, O. Steinbach,
Modified boundary integral formulations for the Helmholtz equation.
J. Math. Anal. Appl. 331 (2007) 396-407.
- B. Muth, G. Of, P. Eberhard, O. Steinbach:
Collision Detection for Complicated Polyhedra Using the Fast Multipole
Method or Ray Crossing.
Arch. Appl. Mech. 77 (2007) 503-521.
- G. Of, A. Schwaigkofler, O. Steinbach:
Boundary integral equation methods for inverse problems in
electrical engineering.
Elektrotechnik & Informationstechnik 124 (2007) 254-259.
- S. Engleder, O. Steinbach:
Stabilized boundary element methods for exterior Helmholtz
problems.
Numer. Math. 110 (2008) 145-160.
- G. Of, M. Kaltenbacher, O. Steinbach:
Fast multipole boundary element method for electrostatic
field computations.
Compel 28 (2009) 304-319.
- O. Steinbach, M. Windisch:
Modified combined field integral equations for
electromagnetic scattering.
SIAM J. Numer. Anal. 47 (2009) 1149-1167.
- O. Steinbach, G. Unger:
A boundary element method for the Dirichlet eigenvalue
problem of the Laplace operator.
Numer. Math. 113 (2009) 281-298.
- G. Of, O. Steinbach:
The all-floating boundary element tearing and interconnecting
method. J. Numer. Math. 17 (2009) 277-298.
- D. Brunner, G. Of, M. Junge, O. Steinbach, L. Gaul:
A fast BE-FE coupling scheme for partly immersed bodies.
Internat. J. Numer. Methods Engrg. 81 (2010) 28-47.
- G. Of, O. Steinbach, P. Urthaler:
Fast evaluation of Newton potentials in boundary element methods.
SIAM J. Sci. Comput. 32 (2010) 585-602.
- G. Of, T. X. Phan, O. Steinbach:
Boundary element methods for Dirichlet boundary control problems.
Math. Methods Appl. Sci. 33 (2010) 2187-2205.
- O. Steinbach, M. Windisch:
Stable boundary element domain decomposition methods for the
Helmholtz equation.
Numer. Math. 118 (2011) 171-195.
- S. Engleder, O. Steinbach:
Boundary integral formulations for the forward problem in
magnetic induction tomography.
Math. Methods Appl. Sci. 34 (2011) 1144-1156.
- O. Steinbach:
A note on the stable one-equation coupling of finite and boundary elements.
SIAM J. Numer. Anal. 49 (2011) 1521-1531.
- Z. Andjelic, G. Of, O. Steinbach, P. Urthaler:
Boundary element methods for magnetostatic field problems:
A critical view.
Comput. Visual. Sci. 14 (2011) 117-130.
- M. Neumüller, O. Steinbach:
Refinement of flexible space-time finite element meshes
and discontinuous Galerkin methods.
Comput. Visual. Sci. 14 (2011) 189-205.
- O. Steinbach, G. Unger:
Convergence analysis of a Galerkin boundary element method
for the Dirichlet Laplacian eigenvalue problem.
SIAM J. Numer. Anal. 50 (2012) 710-728.
- G. Of, G. J. Rodin, O. Steinbach, M. Taus:
Coupling of discontinuous Galerkin
finite element and boundary element methods.
SIAM. J. Sci. Comput. 34 (2012) A1659-A1677.
- O. Steinbach: On the stability of the non-symmetric BEM/FEM
coupling in linear elasticity.
Comput. Mech. 51 (2013) 421-430.
- G. Of, O. Steinbach:
Is the one-equation coupling of finite and boundary element methods
always stable?
ZAMM Z. Angew. Math. Mech. 93 (2013) 476-484.
- T. X. Phan, O. Steinbach: Boundary element methods for parabolic
boundary control problems.
J. Integral Eqn. Appl. 26 (2014) 53-90.
- O. Steinbach:
Boundary element methods for variational inequalities.
Numer. Math. 126 (2014) 173-197.
- O. Steinbach, L. Tchoualag:
Fast Fourier transform for efficient evaluation of Newton potential in BEM.
Appl. Numer. Math. 81 (2014) 1-14.
- W. Lemster, G. Lube, G. Of, O. Steinbach:
Analysis of a kinematic dynamo model with FEM-BEM coupling.
Math. Methods Appl. Sci. 37 (2014) 2484-2501.
- G. Of, O. Steinbach: On the ellipticity of coupled finite element
and one-equation boundary element methods for boundary value problems.
Numer. Math. 127 (2014) 567-593.
- C. M. Augustin, G. A. Holzapfel, O. Steinbach:
Classical and all-floating FETI methods for the simulation of
arterial tissues. Internat. J. Numer. Methods Engrg. 99 (2014) 290-312.
- A. Kimeswenger, O. Steinbach, G. Unger:
Coupled finite and boundary element methods for fluid-solid interaction
eigenvalue problems. SIAM J. Numer. Anal. 52 (2014) 2400-2414.
- D. Amann, A. Blaszczyk, G. Of, O. Steinbach:
Simulation of floating potentials in industrial applications by boundary
element methods. J. Math. Ind. 4:13 (2014) 15p.
- T. X. Phan, O. Steinbach:
Boundary integral equations for optimal control problems with partial
Dirichlet control. Vietnam J. Math. Appl. 12 (2014) 143-160.
- G. Of, T. X. Phan, O. Steinbach:
An energy space finite element approach for elliptic Dirichlet boundary
control problems. Numer. Math. 129 (2015) 723-748.
- K. Bandara, F. Cirak, G. Of, O. Steinbach, J. Zapletal:
Boundary element based multiresolution shape optimisation in
electrostatics.
J. Comp. Phys. 297 (2015) 584--598.
- O. Steinbach:
Space-time finite element methods for parabolic problems.
Comput. Methods Appl. Math. 15 (2015) 551-566.
- O. Steinbach, B. Wohlmuth, L. Wunderlich:
Trace and flux a priori error estimates in finite element approximations
of Signorini-type problems. IMA J. Numer. Anal. 36 (2016) 1072-1095.
- T. Apel, O. Steinbach, M. Winkler:
Error estimates for Neumann boundary control problems with energy
regularization.
J. Numer. Math. 24 (2016) 207-233.
- O. Steinbach, G. Unger: Combined boundary integral equations for
acoustic scattering-resonance problems.
Math. Methods Appl. Sci. 40 (2017) 1516-1530.
- L. John, P. Pustejovska, O. Steinbach: On the influence of the wall
shear stress vector form on hemodynamic indicators.
Comput. Visual. Sci. 18 (2017) 113-122.
- K. Niino, O. Steinbach: Calderon's preconditioning for a space-time
boundary element method for the heat equation.
JASCOME 17 (2017) 29-171215, 6 pp., in Japanese.
- O. Steinbach, H. Yang: Comparison of algebraic multigrid methods for an
adaptive space-time finite element discretization of the heat equation
in 3D and 4D. Numer. Linear Algebra Appl. 25 (2018), no. 3, e2143, 17 pp.
- D. R. Q. Pacheco, O. Steinbach: Space-time Taylor-Hood elements for
incompressible flows. Computer Methods in Material Sciences 19 (2019) 64-69.
- K. Niino, M. Hanzawa, O. Steinbach: On a finite element method using a Hilbert-type
transformation for the 1D heat equation.
JASCOME 19 (2019) 19-191201, 4 pp., in Japanese.
- T. X. Phan, O. Steinbach: Energy space approaches to the Cauchy problem
for Poisson's equation. Acta Math. Vietnam. 45 (2020) 693-707.
- O. Steinbach, M. Zank:
Coercive space-time finite element methods for initial boundary value problems.
Electron. Trans. Numer. Anal. 52 (2020) 154-194.
- O. Steinbach, M. Zank:
A note on the efficient evaluation of a modified Hilbert transformation.
J. Numer. Math. 29 (2021) 47-61.
- M. Neumüller, O. Steinbach:
Regularization error estimates for distributed control problems in energy spaces.
Math. Methods Appl. Sci. 44 (2021) 4176-4191.
- U. Langer, O. Steinbach, F. Tröltzsch, H. Yang:
Unstructured space-time finite element methods for optimal control
of parabolic equations.
SIAM J. Sci. Comput. 43 (2021) A744-A771.
- D. R. Q. Pacheco, O. Steinbach: A continuous finite element framework for the pressure
Poisson equation allowing non-Newtonian and compressible flow behaviour.
Int. J. Numer. Meth. Fluids 93 (2021) 1435-1445.
- U. Langer, O. Steinbach, F. Tröltzsch, H. Yang:
Space-time finite element discretization of parabolic optimal
control problems with energy regularization.
SIAM J. Numer. Anal. 59 (2021) 675-695.
- D. R. Q. Pacheco, R. Schussnig, O. Steinbach, T.-P. Fries:
A global residual-based stabilization for equal-order finite element approximations
of incompressible flows
Int. J. Numer. Meth. Engn. 122 (2021) 2075-2094.
- D. R. Q. Pacheco, T. Müller, O. Steinbach, G. Brenn:
A mixed finite element formulation for generalised Newtonian fluid flows
with appropriate natural outflow boundary conditions.
Int. J. Comput. Visual. Sci. Engrg., 2021.
- O. Steinbach, M. Zank: A generalized inf-sup stable variational formulation
for the wave equation.
J. Math. Anal. Appl. 505 (2022) 125457.
- U. Langer, O. Steinbach, H. Yang: Robust discretization and solvers for elliptic optimal
control problems with energy regularization.
Comput. Methods Appl. Math. 22 (2022) 97-111.
- O. Steinbach, C. Urzua-Torres: A new approach to space-time boundary
integral equations for the wave equation.
SIAM J. Math. Anal. 54 (2022) 1370-1392.
- D. R. Q. Pacheco, O. Steinbach: On the initial higher-order pressure convergence
in equal-order finite element discretizations of the Stokes system.
Comput. Math. Appl. 109 (2022) 140-145.
- O. Steinbach, C. Urzua-Torres, M. Zank: Towards coercive boundary element
methods for the wave equation.
J. Integral Equations Appl. 34 (2022) 501-515.
- O. Steinbach, A. Missoni: A note on a modified Hilbert transform.
Appl. Anal. 102 (2023) 2583-2590.
- U. Langer, R. Löscher, O. Steinbach, H. Yang: Robust finite element discretization
and solvers for distributed elliptic optimal control problems.
Comput. Methods Appl. Math. 23 (2023) 989-1005.
- R. Löscher, O. Steinbach: Space-time finite element methods for distributed optimal
control of the wave equation.
SIAM J. Numer. Anal. 62 (2024) 452-475.
- U. Langer, R. Löscher, O. Steinbach, H. Yang: An adaptive finite element method
for distributed elliptic optimal control problems with variable energy
regularization. Comput. Math. Appl. 160 (2024) 1-14.
- D. R. Q. Pacheco, O. Steinbach: Optimal pressure recovery using an ultra-weak finite
element method for the pressure Poisson equation and a least-squares approach
for the gradient equation.
Comput. Methods Appl. Math. 24 (2024) 921-934.
- U. Langer, O. Steinbach, H. Yang: Robust space-time finite element methods
for parabolic distributed optimal control problems with
energy regularization. Adv. Comput. Math. 50 (2024) paper 24.
- U. Langer, R. Löscher, O. Steinbach, H. Yang: Mass-lumping discretization and solvers for
distributed elliptic optimal control problems.
Numer. Linear Algebra Appl. 31 (2024) e2564.
- R. Löscher, O. Steinbach, M. Zank: On a modified Hilbert transformation,
the discrete inf-sup condition, and error estimates.
Comput. Math. Appl. 171 (2024) 114-138.
- P. Gangl, M. Gobrial, O. Steinbach: A space-time finite element method for the eddy current
approximation of rotating electric machines.
Comput. Methods Appl. Math., published online, 2024.
- U. Langer, R. Löscher, O. Steinbach, H. Yang: Robust finite element solvers for
distributed hyperbolic optimal control problems.
Comput. Math. Appl. 180 (2025) 166-190.
- P. Gangl, R. Löscher, O. Steinbach: Regularization and finite element error estimates for
elliptic distributed optimal control problems with energy regularization and state or
control constraints.
Comput. Math. Appl. 180 (2025) 242-260.
|
- O. Steinbach, W. L. Wendland,
Boundary element methods for contact problems.
In: Advanced Multibody System Dynamics (W. Schiehlen ed.),
Kluwer, Dordrecht, pp. 433-438, 1993.
- O. Steinbach,
Boundary elements in domain decomposition methods.
Contemp. Math. 180 (1994) 343-348.
- O. Steinbach,
Parallel iterative solvers for symmetric boundary element
domain decomposition methods.
In: Fast Solvers for Flow Problems (W. Hackbusch, G. Wittum eds.),
Vieweg, Braunschweig, pp. 263-272, 1995.
- R. Quatember, O. Steinbach, W. L. Wendland,
Domain decomposition based solvers for industrial stress
analysis with boundary elements.
In: Progress in Industrial Mathematics at ECMI 94 (H. Neunzert ed.),
John Wiley, Teubner, pp. 88-95, 1996.
- O. Steinbach, W. L. Wendland,
Efficient preconditioners for boundary element methods and
their use in domain decomposition.
In: Domain Decomposition Methods in Sciences in Engineering:
8th International Conference, Beijing, China
(R. Glowinski et. al. eds.), John Wiley, pp. 3-18, 1997.
- O. Steinbach,
Iterative solvers and efficient preconditioners for
discretized boundary integral equations.
ZAMM 76:S2 (1996) 685-686.
- R. Quatember, O. Steinbach, W. L. Wendland,
Entwicklung vorkonditionierter Iterationsverfahren für
Randelementmethoden der Thermoelastizität auf
Parallelrechnern.
In: Mathematik. Schlüsseltechnologien für die Zukunft
(K.-H. Hoffmann et al. eds.), Springer-Verlag, pp. 191-201, 1997.
- O. Steinbach,
Fast solvers for the symmetric boundary element method.
In: Boundary Elements: Implementation and Analysis of
Advanced Algorithms (W. Hackbusch, G. Wittum eds.),
Vieweg, Braunschweig, pp. 232-242, 1996.
- O. Steinbach, W. L. Wendland,
Hierarchical boundary element preconditioners in domain
decomposition methods.
In:
Proceedings of the 9th International Conference on
Domain Decomposition Methods (P. Bjorstad et. al. eds.),
Domain Decomposition Press, Bergen, pp. 497-503, 1998.
- O. Steinbach,
Numerische Aspekte von Randelementmethoden in der
Festkörpermechanik.
In: Simulationstechniken in der Materialwissenschaft
(P. Klimanek, W. Pantleon eds.), Freiberger Forschungshefte B 279,
pp. 59-72, 1996.
- O. Steinbach, W. L. Wendland,
Domain decomposition and preconditioning techniques in
boundary element methods.
In: Boundary Element Topics (W. L. Wendland ed.),
Springer-Verlag, pp. 471-490, 1997.
- H. Schulz, O. Steinbach, W. L. Wendland,
Benchmark problems in boundary element methods.
In: Boundary Element Topics (W. L. Wendland ed.),
Springer-Verlag, pp. 491-496, 1997.
- O. Steinbach,
Parallel iterative solution of boundary element equations in 3D.
In: Analysis, Numerics and Applications of Differential- and
Integral Equations (M. Bach et. al. eds.),
Pitman Research Notes in Mathematical Series 379,
Addison Wesley, Longman, pp. 219-223, 1997.
- O. Steinbach,
On the design of Benchmark problems for boundary element methods.
In: ENUMATH 97 (H. G. Bock, F. Brezzi, R. Glowinski, G. Kanschat,
Y. A. Kuznetsov, J. Periaux, R. Rannacher eds.),
World Scientific, Singapore, pp. 588-595, 1998.
- O. Steinbach,
Stable boundary element approximations of
Steklov-Poincare operators.
In: Mathematical Aspects of Boundary Element Methods
(M. Bonnet, A.-M. Sändig, W. L. Wendland eds.),
Research Notes in Mathematics 414, Chapman/Hall, pp. 296-305, 1999.
- O. Steinbach, W. L. Wendland,
Domain decomposition and boundary elements.
In: Recent Advances in Numerical Methods and Applications
(O. P. Iliev, M. S. Kaschiev, S. D. Margenov, B. H. Sendov,
P. S. Vassilevski eds.), World Scientific, Singapore,
pp. 112-123, 1999.
- H. Schulz, O. Steinbach,
On a new approach for a posteriori error estimators in direct BEM.
ZAMM 80:S3 (2000) 829-830.
- H. Schulz, O. Steinbach, W. L. Wendland,
On adaptivity in boundary element methods.
In: IUATAM/IACM/IABEM Symposium on Advanced Mathematical and
Computational Mechanics Aspects of the Boundary Element Method.
(T. Burczynski ed.), Kluwer, pp. 315-325, 2001.
- H. Schulz, O. Steinbach,
A new a posteriori error estimator in adaptive direct boundary
element methods. The Neumann problem.
In: Multifield Problems. State of the Art.
(A.-M. Sändig, W. Schiehlen, W. L. Wendland eds.),
Springer-Verlag, pp. 201-208, 2000.
- M. Kuhn, O. Steinbach,
FEM-BEM coupling for 3D exterior magnetic field problems.
In: ENUMATH 99 - Proceedings of the 3rd European Conference on
Numerical Mathematics and Advanced Applications.
Jyväskylä, Finland,
July 26-30, 1999 (P. Neittaanmäki, T. Tiihonen, P. Tarvainen eds.),
World Scientific, Singapore, pp. 180-187, 2000.
- P. Eberhard, O. Steinbach, K. Treutner,
'Boundary element mass matrix' - Strange but useful for
hybrid MBS/BEM contact formulation.
In: Trends in Computational Structural Mechanics.
(W. A. Wall, K.-U. Bletzinger, K. Schweizerhof eds.),
CIMNE, Barcelona, pp. 438-446, 2001.
- M. Ganesh, O. Steinbach,
A hybrid BEM for a DtN map nonlinear problem.
In: Advances in Boundary Element Methods II.
(M. Denda, M. H. Aliabadi, A. Charafi eds.),
Hoggar, Geneva, pp. 209-216, 2001.
- C. Eck, H. Schulz, O. Steinbach, W. L. Wendland,
An adaptive boundary element method for contact problems.
In: Error-controlled Adaptive Finite Elements in Solid Mechanics.
(E. Stein ed.), John Wiley, pp. 181-209, 2002.
- J. Breuer, O. Steinbach, W. L. Wendland,
A wavelet boundary element method for the symmetric boundary
integral formulation. In: Proceedings of IABEM 2002,
Austin, 2002.
- G. Of, O. Steinbach, W. L. Wendland,
A fast multipole boundary element method for the symmetric
boundary integral formulation.
In: Proceedings of IABEM 2002, Austin, 2002.
- G. Of, O. Steinbach,
A fast multipole boundary element method for a modified
hypersingular boundary integral equation.
In: Proceedings of the International Conference on Multifield
Problems (M. Efendiev, W. L. Wendland eds.).
Springer Lecture Notes in Applied Mechanics, vol. 12,
Springer, Berlin, pp. 163-169, 2003.
- O. Steinbach,
Artificial Multilevel Boundary Element Preconditioners.
Proc. Appl. Math. Mech. 3 (2003) 539-542.
- U. Langer, O. Steinbach,
Coupled boundary and finite element tearing and interconnecting
methods.
In: Domain Decomposition Methods in Science and Engineering XV
(R. Kornhuber, R. Hoppe, J. Periaux, O. Pironneau, O. Widlund,
J. Xu eds.).
Lecture Notes in Computational Science and Engineering, vol. 40,
Springer, Heidelberg, pp. 83-97, 2004.
- U. Langer, G. Of, O. Steinbach, W. Zulehner,
Inexact fast multipole boundary element tearing and interconnecting methods.
In: Domain Decomposition Methods in Science and Engineering XVI
(O. Widlund, D. Keyes eds.).
Lecture Notes in Computational Science and Engineering, vol. 55,
Springer, pp. 405-412, 2007.
- G. Of, O. Steinbach, W. L. Wendland:
Boundary Element Tearing and Interconnecting Domain Decomposition Methods.
In: Multifield Problems in Solid and Fluid Mechanics (R. Helmig, A. Mielke, B. I. Wohlmuth eds.).
Lecture Notes in Applied and Computational Mechanics, vol. 28, Springer, Heidelberg,
pp. 461-490, 2006.
- U. Langer, O. Steinbach:
Coupled finite and boundary element domain decomposition methods.
In: Boundary Element Analysis. Mathematical Aspects and Applications
(M. Schanz, O. Steinbach eds.). Springer, Heidelberg, pp. 61-95, 2006.
- O. Steinbach:
Challenges and Applications of Boundary Element Domain Decomposition Methods.
In: Domain Decomposition Methods in Science and Engineering XVII
(U. Langer, M. Discacciati, D. Keyes, O. Widlund, W. Zulehner eds.).
Lecture Notes in Computational Science and Engineering, vol. 60,
Springer, pp. 131-142, 2008.
- C. Fasel, S. Rjasanow, O. Steinbach:
A boundary integral formulation for nonlocal electrostatics.
In: Numerical Mathematics and Advanced Applications. Proceedings
of ENUMATH 2007 (K. Kunisch, G. Of, O. Steinbach eds.),
Springer, Heidelberg, pp. 117-124, 2008.
- O. Steinbach, G. Unger:
A boundary element algorithm for the Dirichlet eigenvalue
problem of the Laplace operator.
In: Numerical Mathematics and Advanced Applications. Proceedings
of ENUMATH 2007 (K. Kunisch, G. Of, O. Steinbach eds.),
Springer, Heidelberg, pp. 191-198, 2008.
- S. Gemmrich, N. Nigam, O. Steinbach:
Boundary integral equations for the Laplace-Beltrami operator.
In: Mathematics and Computation, a Contemporary View. Proceedings of the
Abel Symposium 2006 (H. Munthe-Kaas, B. Owren eds.),
Springer, Heidelberg, pp. 21-37, 2008.
- M. Wilken, G. Of, C. Cabos, O. Steinbach:
Efficient calculation of the effect of water on ship vibration.
In: Analysis and Design of Marine Structures. Proceedings of MARSTRUCT 2009
(C. Guedes Soares, P. K. Das eds.), CRC Press, pp. 93-101, 2009.
- M. Schanz, O. Steinbach, P. Urthaler:
A boundary integral formulation for poroelastic materials.
Proc. Appl. Math. Mech. 9 (2009) 595-596.
- O. Steinbach, M. Windisch:
Robust boundary element domain decomposition solvers in acoustics.
In: Domain Decomposition Methods in Science and Engineering XIX
(Y. Huang, R. Kornhuber, O. Widlund, J. Xu eds.).
Lecture Notes in Computational Science and Engineering, vol. 78,
Springer, Heidelberg, pp. 277-284, 2011.
- G. Of, O. Steinbach:
Coupled FE/BE Formulations for the Fluid-Structure Interaction.
In: Domain Decomposition Methods in Science and Engineering XIX
(Y. Huang, R. Kornhuber, O. Widlund, J. Xu eds.).
Lecture Notes in Computational Science and Engineering, vol. 78,
Springer, Heidelberg, pp. 293-300, 2011.
- G. Of, T. X. Phan, O. Steinbach: Finite and boundary element
energy approximations of Dirichlet control problems.
In: Modeling, Simulation and Optimization of Complex Processes.
Proceedings of the Fourth International Conference on High Performance
Scientific Computing, March 2-6, 2009, Hanoi, Vietnam
(H. G. Bock, X. P. Hoang, R. Rannacher, J. P. Schlöder eds.),
Springer, Heidelberg, pp. 219-231, 2012.
- Z. Andjelic, G. Of, O. Steinbach, P. Urthaler:
Fast boundary element methods for industrial applications in
magnetostatics. In: Fast Boundary Element Methods in Engineering
and Industrial Applications (U. Langer, M. Schanz, O. Steinbach,
W. L. Wendland eds.), Lecture Notes in Applied and Computational
Mechanics, vol. 63, Springer, Heidelberg, pp. 111-143, 2012.
- C. Effenberger, D. Kressner, O. Steinbach, G. Unger:
Interpolation-based solution of a nonlinear eigenvalue problem
in fluid-structure interaction.
Proc. Appl. Math. Mech. 12 (2012) 633-634.
- O. Steinbach, M. Windisch:
Stable BETI methods in electromagnetics. In: Domain Decomposition
Methods in Science and Engineering XX (R. Bank, M. Holst, O. Widlund, J. Xu eds.).
Lecture Notes in Computational Science and Engineering, vol. 91, Springer,
Heidelberg, pp. 223-230, 2013.
- C. Augustin, O. Steinbach: FETI methods for the simulation of biological
tissues. In: Domain Decomposition Methods in Science and Engineering XX
(R. Bank, M. Holst, O. Widlund, J. Xu eds.). Lecture Notes in Computational
Science and Engineering, vol. 91, Springer, Heidelberg, pp. 503-510, 2013.
- M. Neumüller, O. Steinbach: A DG space-time domain decomposition.
In: Domain Decomposition Methods in Science and Engineering XX
(R. Bank, M. Holst, O. Widlund, J. Xu eds.). Lecture Notes in
Computational Science and Engineering, vol. 91, Springer, Heidelberg, pp. 623-630, 2013.
- O. Steinbach:
Boundary integral equations for Helmholtz boundary value and
transmission problems.
In: Direct and inverse problems in wave propagation and applications
(I. Graham, U. Langer, J. M. Melenk, M. Sini eds.).
Radon Series on Computational and Applied Mathematics, vol. 14,
de Gruyter, Berlin, pp. 253-292, 2013.
- A. Kimeswenger, O. Steinbach, G. Unger:
Coupled finite and boundary element methods for
vibro-acoustic interface problems.
In: Domain Decomposition Methods in Science and Engineering XXI
(J. Erbel, M. Gander, L. Halpern, G. Pichot, T. Sassi, O. Widlund eds.).
Lecture Notes in Computational Science and Engineering, vol. 98,
Springer, Heidelberg, pp. 507-515, 2014.
- E. Karabelas, O. Steinbach:
Space-time DG methods for the coupled electro-mechanical activation
of the human heart. Proc. Appl. Math. Mech. 14 (2014) 839-840.
- M. A. F. Gsell, O. Steinbach:
Domain decomposition methods for nonlinear transmission conditions.
Proc. Appl. Math. Mech. 14 (2014) 851-852.
- M. Zank, O. Steinbach:
Adaptive space-time boundary element methods for the wave equation.
Proc. Appl. Math. Mech. 16 (2016) 777-778.
- M. Gsell, O. Steinbach:
A mortar domain decomposition method for quasilinear problems.
In: Domain Decomposition Methods in Science and Engineering XXIII
(C.-O. Lee, X.-C. Cai, D. E. Keyes, H. H. Kim, A. Klawonn, E.-J. Park,
O. B. Widlund eds.), Lecture Notes in Computational Science and
Engineering, vol. 116, Springer, Heidelberg, pp. 333-343, 2017.
- O. Steinbach: Stability of the Laplace single layer boundary integral
operator in Sobolev spaces. In: Integral Methods in Science and
Engineering. Vol. 1. Theoretical Techniques.
Birkhäuser/Springer, Cham, pp. 293-303, 2017.
- O. Steinbach, H. Yang: An algebraic multigrid method for an adaptive space-time
finite element discretization.
Lecture Notes in Compu. Sci., 10665, Springer, Cham, pp. 63-73, 2018.
- S. Dohr, O. Steinbach: Preconditioned space-time boundary element methods
for the one-dimensional heat equation. In: Domain Decomposition Methods in
Science and Engineering XXIV (P. E. Bjorstad, S. C. Brenner, L. Halpern, R. Kornhuber,
H. H. Kim, T. Rahman, O. B. Widlund eds.), Lecture Notes in Computational Science
and Engineering, vol. 125, Springer, Heidelberg, pp. 243-251, 2018.
- O. Steinbach, H. Yang: A space-time finite element method for the linear
bidomain equations. In: Advanced Finite Element Methods with Applications.
Selected papers from the 30th Chemnitz FEM Symposium 2017
(T. Apel, U. Langer, A. Meyer, O. Steinbach eds.), Lecture Notes in Computational
Science and Engineering, vol. 128, Springer, Cham, pp. 323-339, 2019.
- O. Steinbach, M. Zank: A stabilized space-time finite element method for the
wave equation. In: Advanced Finite Element Methods with Applications.
Selected papers from the 30th Chemnitz FEM Symposium 2017
(T. Apel, U. Langer, A. Meyer, O. Steinbach eds.), Lecture Notes in Computational
Science and Engineering, vol. 128, Springer, Cham, pp. 341-370, 2019.
- S. Dohr, K. Niino, O. Steinbach: Space-time boundary element methods for the heat equation.
In: Space-Time Methods. Applications to Partial Differential Equations
(U. Langer, O. Steinbach eds.), Radon Series on Computational and Applied Mathematics,
vol. 25, de Gruyter, Berlin, pp. 1-60, 2019.
- O. Steinbach, H. Yang: Space-time finite element methods for parabolic evolution
equations: Discretization, a posteriori error estimation, adaptivity and solution.
In: Space-Time Methods. Applications to Partial Differential Equations
(U. Langer, O. Steinbach eds.), Radon Series on Computational and Applied Mathematics,
vol. 25, de Gruyter, Berlin, pp. 207-248, 2019.
- J. I. M. Hauser, O. Steinbach: Space-time variational methods for Maxwell's equations.
Proc. Appl. Math. Mech. 19 (2019) e201900221.
- D. R. Q. Pacheco, O. Steinbach: On the pressure Poisson equation for the Stokes system.
Proc. Appl. Math. Mech. 19 (2019) e201900425.
- S. Dohr, M. Merta, G. Of, O. Steinbach, J. Zapletal: A parallel solver for a
preconditioned space-time boundary element method for the heat equation,
In: Domain Decomposition Methods in Science and Engineering XXV (R. Haynes, S. MacLachlan,
X.-C. Cai, L. Halpern, H. H. Kim, A. Klawonn, O. Widlund eds.). Lecture Notes in
Computational Science and Engineering, vol. 138, Springer, Heidelberg, pp. 108-116, 2020.
- U. Langer, O. Steinbach, F. Tröltzsch, H. Yang:
Unstructured space-time finite element methods for optimal sparse control
of parabolic equations.
In: Optimization and Control for Partial Differential Equations.
Uncertainty quantification, open and closed-loop control, and shape optimization.
(R. Herzog, M. Heinkenschloss, D. Kalise, G. Stadler, E. Trelat eds.).
Radon Series on Computational and Applied Mathematics, vol. 29,
de Gruyter, Berlin, pp. 167-188, 2022.
- D. R. Q. Pacheco, O. Steinbach: Space-time finite element tearing and interconnecting
domain decomposition methods.
In: Domain Decomposition Methods in Science and Engineering XXVI (S. Brenner, E. Chung,
A. Klawonn, F. Kwok, J. Xu, J. Zou eds.). Lecture Notes in
Computational Science and Engineering, vol. 145, Springer, Cham, pp. 479-486, 2022.
- O. Steinbach, P. Gaulhofer: On space-time finite element domain decomposition
methods for the heat equation.
In: Domain Decomposition Methods in Science and Engineering XXVI (S. Brenner, E. Chung,
A. Klawonn, F. Kwok, J. Xu, J. Zou eds.). Lecture Notes in
Computational Science and Engineering, vol. 145, Springer, Cham, pp. 547-554, 2022.
- U. Langer, O. Steinbach, F. Tröltzsch, H. Yang: Space-time finite element methods
for the initial temperature reconstruction.
In: Domain Decomposition Methods in Science and Engineering XXVI (S. Brenner, E. Chung,
A. Klawonn, F. Kwok, J. Xu, J. Zou eds.). Lecture Notes in
Computational Science and Engineering, vol. 145, Springer, Cham, pp. 617-624, 2022.
- R. Löscher, O. Steinbach, M. Zank: Numerical results for an unconditionally
stable space-time finite element method for the wave equation.
In: Domain Decomposition Methods in Science and Engineering XXVI (S. Brenner, E. Chung,
A. Klawonn, F. Kwok, J. Xu, J. Zou eds.). Lecture Notes in
Computational Science and Engineering, vol. 145, Springer, Cham, pp. 625-632, 2022.
- P. Gangl, M. Gobrial, O. Steinbach: A parallel space-time finite element method for the
simulation of an electric motor.
In: Domain Decomposition Methods in Science and Engineering XXVII,
(Z. Dostal, A. Klawonn, T. Kozubek, U. Langer, L. F. Pavarino,
J. Sistek, O. B. Widlund eds.),
Lecture Notes in Computational Science and Engineering, vol. 149,
Springer, Cham, pp. 255-262, 2024.
- U. Langer, R. Löscher, O. Steinbach, H. Yang: Robust iterative solvers for algebraic systems
arising from elliptic optimal control problems.
Lecture Notes in Comput. Sci., 13952, Springer, Cham, pp. 35-43, 2024.
- M. Reichelt, O. Steinbach: A hybrid space-time finite element method for
parabolic evolution equations.
Proceedings of ENUMATH 2023, accepted, 2024.
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