A PDAE formulation of parabolic problems with dynamic boundary conditions
Numerical Analysis
2018-09-25 v1
Abstract
The weak formulation of parabolic problems with dynamic boundary conditions is rewritten in form of a partial differential-algebraic equation. More precisely, we consider two dynamic equations with a coupling condition on the boundary. This constraint is included explicitly as an additional equation and incorporated with the help of a Lagrange multiplier. Well-posedness of the formulation is shown.
Keywords
Cite
@article{arxiv.1809.08841,
title = {A PDAE formulation of parabolic problems with dynamic boundary conditions},
author = {Robert Altmann},
journal= {arXiv preprint arXiv:1809.08841},
year = {2018}
}