Space-time FEM-BEM couplings for parabolic transmission problems
<|reference_start|>Space-time FEM-BEM couplings for parabolic transmission problems: We develop couplings of a recent space-time first-order system least-squares (FOSLS) method for parabolic problems and space-time boundary element methods (BEM) for the heat equation to numerically solve a parabolic transmission problem on the full space and a finite time interval. In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments.<|reference_end|>
@article{führer2024space-time,
    title={Space-time FEM-BEM couplings for parabolic transmission problems},
    author={Thomas F"uhrer, Gregor Gantner, Michael Karkulik},
    journal={arXiv preprint arXiv:2409.14449},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.14449},
    primaryClass={math.NA cs.NA}
}