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A time‐adaptive Dirichlet‐Neumann waveform relaxation method for coupled heterogeneous heat equations
Author(s) -
Monge Azahar,
Birken Philipp
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900206
Subject(s) - waveform , robustness (evolution) , neumann boundary condition , relaxation (psychology) , dirichlet distribution , computer science , mathematics , work (physics) , von neumann architecture , relaxation technique , mathematical analysis , boundary value problem , physics , medicine , psychology , telecommunications , biochemistry , radar , chemistry , social psychology , alternative medicine , pathology , thermodynamics , operating system , gene
We introduce a time adaptive multirate method based on the Dirichlet‐Neumann waveform relaxation (DNWR) algorithm for the simulation of two coupled linear heat equations with strong jumps in the material coefficients across the interface. Numerical results are included to illustrate the advantages of the time adaptive approach over the multirate approach and the robustness of the multirate DNWR method with respect to its sibling, the multirate Neumann‐Neumann waveform relaxation (NNWR) method introduced in a previous work [3].