Finite difference domain decomposition algorithms for a parabolic problem with boundary layers

DOI10.1016/S0898-1221(98)00159-XzbMath0932.65094MaRDI QIDQ1125003

Igor P. Boglaev

Publication date: 29 November 1999

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

zbMATH Keywords

convergencesingular perturbationdomain decompositionparallel algorithmsfinite differencetime discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

A variant of Tikhonov regularization for parabolic PDE with space derivative multiplied by a small parameter \(\epsilon\), An iterative technique for solving singularly perturbed parabolic PDE, Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem, High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems, Regularized Lardy scheme for solving singularly perturbed elliptic and parabolic PDEs, A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems, An implicit-explicit domain decomposition algorithm for a singularly perturbed parabolic problem, A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems, A uniform monotone alternating direction scheme for nonlinear singularly perturbed parabolic problems, Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem, On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem, Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Unnamed Item
• The computation of transient 2-D eddy current problem by domain decomposition algorithms
• Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems
• Numerical solution of a quasilinear parabolic equation with a boundary layer
• Approximate solution of a non-linear boundary value problem with a small parameter for the highest-order differential