The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms

DOI10.1016/S0898-1221(97)00088-6zbMath0933.65140MaRDI QIDQ1368459

Vadim V. Sirotkin

Publication date: 20 March 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergencesingular perturbationnumerical examplesdomain decompositionSchwarz alternating methodsimilar elliptic boundary value 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) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

The solution of singularly perturbed parabolic problems by parallel algorithms combining Crank-Nicolson scheme and overlapping Schwarz methods ⋮ Comparison of parallel implementation of some multi-level Schwarz methods for singularly perturbed parabolic problems ⋮ Two-level parallel Schwarz methods for singularly perturbed semilinear elliptic problems ⋮ Singularly perturbed problems in partial differential equations: A survey ⋮ Parallel Schwarz methods for convection-dominated semilinear diffusion problems

Cites Work

• Iterative domain decomposition algorithms for the solution of 2-D eddy current problem
• The solution of singularly perturbed huge problems via domain decomposition
• Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers
• Computational method for a singular perturbation problem via domain decomposition and its parallel implementation
• Linear and quasilinear elliptic equations
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms