Gregor Gantner: Thursday, 17th October at 11:00
Abstract:
In this talk, we discuss stable space-time FEM-BEM couplings [1] to numerically solve parabolic transmission problems on the full space and a finite time interval.
The couplings are based on the space-time FOSLS [2,3] in the interior and the space-time BEM [4] in the exterior.
In particular, we demonstrate coercivity of the couplings under certain restrictions and validate our theoretical findings by numerical experiments.
REFERENCES
[1] T. Führer, G. Gantner, and M. Karkulik, Space-time FEM-BEM couplings for parabolic transmission problems, Preprint, arXiv:2409.14449 (2024).
[2] T. Führer and M. Karkulik, Space–time least-squares finite elements for parabolic equations, Comput. Math. Appl., 92 (2021), pp. 27–36.
[3] G. Gantner and R. Stevenson, Further results on a space-time FOSLS formulation of parabolic PDEs, ESAIM Math. Model. Numer. Anal., 55 (2021), pp. 283–299.
[4] M. Costabel, Boundary integral operators for the heat equation, Integral Equations Operator Theory, 13 (1990), pp. 498–552.
