An abstract theory for the domain reduction method

DOI10.1007/BF02241707zbMath0783.65082MaRDI QIDQ1192012

Jan Mandel, Craig C. Douglas

Publication date: 27 September 1992

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

group of symmetriesdomain reduction methodgroup representation theoryalgebras of finite groups

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Representation theory for linear algebraic groups (20G05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Development of semi-coarsening techniques, Groups and Symmetries in Numerical Linear Algebra, Restriction matrices for numerically exploiting symmetry, A Numerical Liapunov-Schmidt Method with Applications to Hopf Bifurcation on a Square, Applications of the generalized Fourier transform in numerical linear algebra, Restriction matrices in space-time energetic BEM, Topics in structure-preserving discretization, Restrictions matrices for Platonic solids invariance and applications to space-time energetic BEM

Cites Work

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• Singularities and groups in bifurcation theory. Volume I
• A tupleware approach to domain decomposition methods
• Singularities and groups in bifurcation theory. Volume II
• Constructive Interference in Parallel Algorithms
• A parallel domain reduction method
• Exploiting Symmetry in Boundary Element Methods
• Using Symmetries and Antisymmetries to Analyze a Parallel Multigrid Algorithm: The Elliptic Boundary Value Problem Case