Schwarz algorithms for the Raviart-Thomas mixed method

DOI10.1007/BF02575721zbMath0842.65069MaRDI QIDQ1901530

Salim Meddahi

Publication date: 5 August 1996

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencedomain decompositionSchwarz alternating methodmixed finite elementnonconfirming finite element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Cites Work

• Two families of mixed finite elements for second order elliptic problems
• Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. I: Algorithms and numerical results
• Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. II: Convergence theory
• Efficient rectangular mixed finite elements in two and three space variables
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
• Mixed and Hybrid Finite Element Methods
• A Multigrid Algorithm for the Lowest-Order Raviart–Thomas Mixed Triangular Finite Element Method
• Analysis of the Schwarz algorithm for mixed finite elements methods
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