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Finite element convergence for the Joule heating problem with mixed boundary conditions

journal contribution
posted on 2023-06-08, 15:16 authored by Max Jensen, Axel Målqvist
We prove strong convergence of conforming finite element approximations to the stationary Joule heating problem with mixed boundary conditions on Lipschitz domains in three spatial dimensions. We show optimal global regularity estimates on creased domains and prove a priori and a posteriori bounds for shape regular meshes.

History

Publication status

  • Published

Journal

BIT Numerical Mathematics

ISSN

0006-3835

Publisher

Springer

Issue

2

Volume

53

Page range

475-496

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2013-06-19

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