Some parallel linear and nonlinear schwarz methods with applications in computational fluid dynamics
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Summary
This dissertation proposes and tests some general techniques of linear and nonlinear preconditioning based on a Schwarz framework for two such challenging problems, namely the Stokes problem and incompressible Navier-Stokes equations in computational fluid dynamics.
- Type
- article
- Published
- 2004-01-01
- Cited by
- 4
- References
- 60
- OpenAlex
- https://openalex.org/W44473105
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:115685062
Keywords
Preconditioner, Domain decomposition methods, Mathematics, Additive Schwarz method, Schwarz alternating method
References
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- Monotone iterative methods for the adaptive finite element solution of semiconductor equations
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- Incompressible Navier-Stokes computations with SUPG and GLS formulations—A comparison study
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- A comparison of parallel solvers for the incompressible Navier-Stokes equations
- An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions
- An analysis of the time integration algorithms for the finite element solutions of incompressible Navier-Stokes equations based on a stabilised formulation
- Inexact and preconditioned Uzawa algorithms for saddle point problems
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- On backtracking failure in newton-GMRES methods with a demonstration for the navier-stokes equations
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