An abstract approach to the Robin–Robin method
Engström, Emil LU and Hansen, Eskil LU
(2024)
- Abstract
- Recently, their has been development of an abstract approach to the Robin--Robin method, enabling the treatment of linear and nonlinear elliptic and parabolic equations on Lipschitz domains within one framework. However, previously this setting has not been applicable to initial-boundary value problems. The aim of this short note is therefore to demonstrate that this general framework can be applied to such problems as well.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/ff1ee8d7-15df-437f-b3d9-594b21e44ad2
- author
- Engström, Emil
LU
and Hansen, Eskil
LU
- organization
- publishing date
- 2024
- type
- Working paper/Preprint
- publication status
- submitted
- subject
- publisher
- arXiv.org
- project
- Moving domain decomposition methods for parabolic PDEs
- Next generation numerical partitioning schemes for time dependent PDEs
- language
- English
- LU publication?
- yes
- id
- ff1ee8d7-15df-437f-b3d9-594b21e44ad2
- alternative location
- https://arxiv.org/abs/2408.07392
- date added to LUP
- 2024-08-16 11:39:09
- date last changed
- 2025-04-04 14:49:35
@misc{ff1ee8d7-15df-437f-b3d9-594b21e44ad2,
abstract = {{Recently, their has been development of an abstract approach to the Robin--Robin method, enabling the treatment of linear and nonlinear elliptic and parabolic equations on Lipschitz domains within one framework. However, previously this setting has not been applicable to initial-boundary value problems. The aim of this short note is therefore to demonstrate that this general framework can be applied to such problems as well.}},
author = {{Engström, Emil and Hansen, Eskil}},
language = {{eng}},
note = {{Preprint}},
publisher = {{arXiv.org}},
title = {{An abstract approach to the Robin–Robin method}},
url = {{https://arxiv.org/abs/2408.07392}},
year = {{2024}},
}