The Gauss Theorem for Domain Decompositions in Sobolev Spaces

DOI10.1080/00036810008840866zbMath1021.65062OpenAlexW1502730853WikidataQ58256636 ScholiaQ58256636MaRDI QIDQ2729496

R. Berlanga, Ismael Herrera

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840866

zbMATH Keywords

manifold with cornersSobolev spacedomain decompositionGreen formulatracesconcomitantlinear differential operatorGauss theoremformal adjointlocalized adjoint methodTrefftz-Herrera method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for linear higher-order PDEs (35G15) Applications of functional analysis in numerical analysis (46N40)

Related Items

General theory of domain decomposition: Indirect methods ⋮ General theory of domain decomposition: Beyond Schwarz methods

Cites Work

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• Unified approach to numerical methods. III. Finite differences and ordinary differential equations
• Unified formulation of numerical methods. I. Green's formulas for operators in discontinuous fields
• Functional analysis and probability theory
• Eulerian‐Lagrangian localized adjoint method: The theoretical framework
• Indirect methods of collocation: Trefftz-Herrera collocation
• Trefftz-Herrera domain decomposition

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