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A time‐adaptive Dirichlet‐Neumann waveform relaxation method for coupled heterogeneous heat equations

Monge, Azahar and Birken, Philipp LU (2019) GAMM Annual Meeting, 2019 In Proceedings in Applied Mathematics and Mechanics (PAMM) 19(1).
Abstract
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].
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publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
series title
Proceedings in Applied Mathematics and Mechanics (PAMM)
volume
19
issue
1
article number
e201900206
pages
2 pages
publisher
Gesellschaft für angewandte Mathematik und Mechanik (GAMM)
conference name
GAMM Annual Meeting, 2019
conference location
Vienna, Austria
conference dates
2019-02-18 - 2019-02-22
ISSN
1617-7061
DOI
10.1002/pamm.201900206
project
eSSENCE@LU 4:4 - 3M: Multiphysics, multicore, multirate solution of coupled dynamic problems
language
English
LU publication?
yes
id
502f09b7-0913-4d03-acca-4e073f9e3166
date added to LUP
2020-05-06 10:32:15
date last changed
2022-02-08 16:03:37
@inproceedings{502f09b7-0913-4d03-acca-4e073f9e3166,
  abstract     = {{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].}},
  author       = {{Monge, Azahar and Birken, Philipp}},
  booktitle    = {{Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)}},
  issn         = {{1617-7061}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Gesellschaft für angewandte Mathematik und Mechanik (GAMM)}},
  series       = {{Proceedings in Applied Mathematics and Mechanics (PAMM)}},
  title        = {{A time‐adaptive Dirichlet‐Neumann waveform relaxation method for coupled heterogeneous heat equations}},
  url          = {{http://dx.doi.org/10.1002/pamm.201900206}},
  doi          = {{10.1002/pamm.201900206}},
  volume       = {{19}},
  year         = {{2019}},
}