A time‐adaptive Dirichlet‐Neumann waveform relaxation method for coupled heterogeneous heat equations
(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].
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/502f09b7-0913-4d03-acca-4e073f9e3166
- author
- Monge, Azahar and Birken, Philipp LU
- organization
- publishing date
- 2019
- 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}}, }