Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. I: Algorithms and numerical results
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Publication:1326462
DOI10.1007/BF01385762zbMath0801.65106OpenAlexW1991119623MaRDI QIDQ1326462
Publication date: 4 December 1994
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133745
finite element methodlocal grid refinementGauss-Seidel methodSchwarz alternating methodblock Jacobi methoditerative refinement method
Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
- Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas
- Parallelizing preconditioned conjugate gradient algorithms
- Numerical analogs to the Schwarz alternating procedure
- Block Preconditioning for the Conjugate Gradient Method
- Finite Element Methods for Navier-Stokes Equations
- The Fast Adaptive Composite Grid (FAC) Method for Elliptic Equations
- Convergence Estimates for Product Iterative Methods with Applications to Domain Decomposition
- Domain Decomposition Algorithms for Indefinite Elliptic Problems
- Mixed and Hybrid Finite Element Methods
- Analysis of the Schwarz algorithm for mixed finite elements methods
- A Preconditioned Iterative Method for Saddlepoint Problems
- An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
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