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DOI: 10.5445/IR/1000086909
Veröffentlicht am 24.10.2018

Exponential convergence in H$^{1}$ of hp-FEM for Gevrey regularity with isotropic singularities

Feischl, Michael; Schwab, Christoph

Abstract:
For functions u∈H$^{1}$(Ω) in a bounded polytope Ω⊂R$^{d}$, d=1,2,3 which are Gevrey regular in Ω¯¯¯¯∖S with point singularities concentrated at a set S⊂Ω¯¯¯¯ consisting of a finite number of points in Ω¯¯¯¯, we prove exponential rates of convergence of hp-version continuous Galerkin finite element methods on families of regular, simplicial meshes in Ω. The simplicial meshes are geometrically refined towards S but are otherwise unstructured.


Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2018
Sprache Englisch
Identifikator ISSN: 2365-662X
URN: urn:nbn:de:swb:90-869097
KITopen ID: 1000086909
Verlag KIT, Karlsruhe
Umfang 22 S.
Serie CRC 1173 ; 2018/23
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