JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics FETI Solvers for Non-Standard Finite Element Equations Based on Boundary Integral Operators
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JOHANNES KEPLER UNIVERSITY LINZ Institute of Computational Mathematics BEM-based Finite Element Tearing and Interconnecting Methods
We present efficient domain decomposition solvers for a class of non-standard finite element methods (FEM). These methods utilize PDE-harmonic trial functions in every element of a polyhedral mesh, and use boundary element techniques locally in order to assemble the finite element stiffness matrices. For these reasons, the terms BEMbased FEM or Trefftz-FEM are sometimes used in connection with ...
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1 Institute for Applied Mathematics and Computational Science, Texas A&M University, College Station, USA, [email protected] 2 Institute of Computational Mathematics, Johannes Kepler University, Linz, Austria, [email protected]; [email protected] 3 Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria, ulrich.lan...
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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...
متن کاملJOHANNES 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...
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This work is devoted to fast and parameter-robust iterative solvers for frequency domain finite element equations, approximating the eddy current problem with harmonic excitation. We construct a preconditioned MinRes solver for the frequency domain equations, that is robust (= parameter– independent) in both the discretization parameter h and the frequency ω.
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