Analysis of a dual-primal FETI algorithm for edge elements on boundary layer meshes in two dimensions
Abstract
FETI methods are among the most heavily tested domain decomposition methods. The purpose of this thesis is to analyze a dual-primal FETI method for edge element approximations in
two dimensions on geometrically refined meshes. These meshes are highly anisotropic, where the aspect ratio grows exponentially with the polynomial degree. The primal constraints are here
averages over subdomain edges. We prove that the condition number of our algorithm grows only polylogarithmically with the polynomial degree and is independent of the aspect ratio of the mesh
and of potentially large jumps of the coefficients. Show more
Publication status
unpublishedJournal / series
Research ReportVolume
Publisher
ETH Zürich, Seminar für Angewandte MathematikOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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ETH Bibliography
yes
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