General theory of domain decomposition: Beyond Schwarz methods

DOI10.1002/num.1024zbMath0986.65121OpenAlexW2064151896MaRDI QIDQ2748416

R. A. Yates, Ismael Herrera

Publication date: 11 June 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1024

zbMATH Keywords

Schwarz methodsparallel computationdomain decomposition methodscollocationsecond-order elliptic equationsemidirect overlapping method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10)

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Cites Work

• Unnamed Item
• Multilevel additive and multiplicative methods for orthogonal spline collocation problems
• The Gauss Theorem for Domain Decompositions in Sobolev Spaces
• Unified approach to numerical methods. III. Finite differences and ordinary differential equations
• The algebraic theory approach for ordinary differential equations: Highly accurate finite differences
• Survey of trefftz-type element formulations
• Trefftz method: A general theory
• Indirect methods of collocation: Trefftz-Herrera collocation
• Trefftz-Herrera domain decomposition