Optimal additive Schwarz methods for the hp h p -BEM: The hypersingular integral operator in 3D on locally refined meshes
We propose and analyze an overlapping Schwarz preconditioner for the p p and hp h p boundary element method for the hypersingular integral equation in 3D. We consider surface triangulations consisting of triangles. The condition number is bounded uniformly in the mesh size h h and the polynomial order p p . The preconditioner handles adaptively refined meshes and is based on a local multilevel preconditioner for the lowest order space. Numerical experiments on different geometries illustrate its robustness.
additive schwarz method hypersingular integral equation hp h p -bem hp h p hp h p h p preconditioning