Exponential convergence of simplicial hp-FEM for H^1-functions with isotropic singularities
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Author
Date
2015Type
- Report
Abstract
For functions u ∈ H 1(Ω) in an open, bounded polyhedron Ω⊂Rd of dimension d = 1, 2, 3, which are analytic in Ω¯¯¯¯∖S with point singularities concentrated at the set S⊂Ω¯¯¯¯ consisting of a finite number of points in Ω¯¯¯¯, the exponential rate exp(−bN−−√d+1) of convergence of h p-version continuous Galerkin finite element methods on families of regular, simplicial meshes in Ω can be achieved. The simplicial meshes are assumed to be geometrically refined towards S and to be shape regular, but are otherwise unstructured. Show more
Permanent link
https://doi.org/10.3929/ethz-a-010386221Publication status
publishedExternal links
Book title
Spectral and High Order Methods for Partial Differential Equations (ICOSAHOM 2014)Journal / series
Lecture Notes in Computational Science and EngineeringVolume
Pages / Article No.
Publisher
SpringerSubject
GALERKIN METHOD (NUMERICAL MATHEMATICS); FUNKTIONEN MEHRERER REELLER VARIABLER (ANALYSIS); FUNCTIONS OF SEVERAL REAL VARIABLES (MATHEMATICAL ANALYSIS); MEHRGITTERVERFAHREN + GITTERERZEUGUNG (NUMERISCHE MATHEMATIK); GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK); FINITE-ELEMENTE-METHODE (NUMERISCHE MATHEMATIK); FINITE ELEMENT METHOD (NUMERICAL MATHEMATICS); MULTIGRID METHODS + GRID GENERATION (NUMERICAL MATHEMATICS)Organisational unit
03435 - Schwab, Christoph / Schwab, Christoph
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
Funding
247277 - Automated Urban Parking and Driving (EC)
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