Space-time FEM-BEM couplings for parabolic transmission problems
Thomas Führer, Gregor Gantner, Michael Karkulik
Published: 2024/9/22
Abstract
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.