A Time-Dependent Dirichlet-Neumann Method for the Heat Equation

DOI10.1007/978-3-319-05789-7_44zbMath1382.65253arXiv1311.2827OpenAlexW748580861MaRDI QIDQ3133656

Bankim C. Mandal

Publication date: 5 February 2018

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2827

zbMATH Keywords

algorithmLaplace transformconvergenceheat equationdomain decompositionnumerical experimentswaveform relaxationDirichlet-Neumann method

Mathematics Subject Classification ID

Heat equation (35K05) 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)

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Cites Work

• Dirichlet-Neumann and Neumann-Neumann waveform relaxation algorithms for parabolic problems
• A relaxation procedure for domain decomposition methods using finite elements
• Space-time domain decomposition for parabolic problems
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
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