On Schwarz Alternating Methods for Nonlinear Elliptic PDEs

DOI10.1137/S1064827597327553zbMath0959.65140OpenAlexW2092422489MaRDI QIDQ4509785

Shiu Hong Lui

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827597327553

zbMATH Keywords

domain decompositionparallel computationSchwarz alternating methodnonlinear elliptic problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Parallel numerical computation (65Y05)

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Scalable parallel elastic-plastic finite element analysis using a quasi-Newton method with a balancing domain decomposition preconditioner ⋮ Linear and nonlinear substructured restricted additive Schwarz iterations and preconditioning ⋮ A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation. ⋮ On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. ⋮ On Monotone and Schwarz Alternating Methods for Nonlinear Elliptic PDEs ⋮ Adaptive wavelet frame domain decomposition methods for nonlinear elliptic equations ⋮ On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations ⋮ Nonlinear elliptic problems with the method of finite volumes ⋮ Schwarz methods for inequalities with contraction operators ⋮ Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method ⋮ Mixing finite elements and finite differences in nonlinear Schwarz iterations for nonlinear elliptic pdes

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