Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations

DOI10.1007/s11425-009-0040-8zbMath1183.65120OpenAlexW2262842740MaRDI QIDQ1047886

Hong-lin Liao, Han-sheng Shi, Zhi-zhong Sun

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0040-8

zbMATH Keywords

algorithmstabilityconvergencenumerical resultserror estimatesemilinear parabolic problemdiscrete energy methodbackward Euler schemeexplicit-implicit domain decomposition method

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Semilinear parabolic equations (35K58)

Related Items

Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes, Parallelization methods for solving three-temperature radiation-hydrodynamic problems, Domain decomposition schemes with high-order accuracy and unconditional stability, A conservative parallel difference method for 2-dimension diffusion equation, An efficient GPU-based fractional-step domain decomposition scheme for the reaction-diffusion equation, Conservative domain decomposition procedure with unconditional stability and second-order accuracy, A mass-conserved domain decomposition method for the unsaturated soil flow water problem, A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems, The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients

Cites Work

• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• General difference schemes with intrinsic parallelism for nonlinear parabolic systems
• An efficient parallel algorithm with application to computational fluid dynamics.
• Elliptic partial differential equations of second order
• On the parallel domain decomposition algorithms for time-dependent problems
• Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9--13, 1997
• Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems
• Heuristic tree search with nonparametric statistical inference methods
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Difference Graphs of Block ADI Method
• Efficient Parallel Algorithms for Parabolic Problems
• Stabilized Explicit-Implicit Domain Decomposition Methods for the Numerical Solution of Parabolic Equations
• Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems
• Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item