Work

An abstract approach to the Robin-Robin method

Year: 2024

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2408.07392

Authors: Engström, Emil, Hansen, Eskil

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Vetenskapsrådet

Awards: Moving domain decomposition methods for parabolic PDEs, Next generation of numerical partitioning schemes for time dependent PDEs

OpenAlex ID: W4402560143

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