JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics Boundary Concentrated Finite Elements for Optimal Boundary Control Problems of Elliptic PDEs

Eigenvalue Problems in Surface Acoustic Wave Filter Simulations

1 FWF-Start Project Y-192 “3D hp-Finite Elements”, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria [email protected] 2 Radon Institute for Computational and Applied Mathematics (RICAM), Altenbergerstraße 69, 4040 Linz, Austria [email protected] 3 Institute of Computational Mathematics, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria ulanger...

JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics Analysis of a Non-standard Finite Element Method Based on Boundary Integral Operators

We present and analyze a non-standard finite element method based on elementlocal boundary integral operators that permits polyhedral element shapes as well as meshes with hanging nodes. The method employs elementwise PDE-harmonic trial functions and can thus be interpreted as a local Trefftz method. The construction principle requires the explicit knowledge of the fundamental solution of the p...

Fast parallel solvers for symmetric boundary element domain decomposition equations

C. Carstensen1, M. Kuhn2, U. Langer3 1 Mathematical Seminar, Christian-Albrechts-University Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany; e-mail: [email protected] 2 Institute of Mathematics, Johannes Kepler University Linz, Altenberger Str. 69, A-4040 Linz, Austria; e-mail: [email protected] 3 Institute of Mathematics, Johannes Kepler University Linz, Altenberger Str. 69, A-404...

JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics FETI Solvers for Non-Standard Finite Element Equations Based on Boundary Integral Operators

JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics A Robust FEM-BEM MinRes Solver for Distributed Multiharmonic Eddy Current Optimal Control Problems in Unbounded Domains

This work is devoted to distributed optimal control problems for multiharmonic eddy current problems in unbounded domains. We apply a multiharmonic approach to the optimality system and discretize in space by means of a symmetrically coupled finite and boundary element method, taking care of the different physical behavior in conducting and non-conducting subdomains, respectively. We construct ...