Institut für Angewandte Mathematik



Vorlesung im SS 2023 

Elective Subject Mathematics: Boundary Integral Equations 

Grundthemen Analysis: Boundary Integral Equations 

The representation of solutions of partial differential equations by using volume and surface potentials leads to boundary integral equations to be solved. We will discuss both indirect and direct approachs, where the latter is based on the use of related Green's formulae. In this lecture we will consider the formulation of boundary integral equations, the mapping properties of related boundary integral operators, and the solvability of associated boundary integral equations. These results are also important for the numerical analysis of related discretization schemes, i.e. related boundary element methods.  
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