Space-Time FEM-BEM Couplings for Parabolic Transmission Problems

Thomas Führer; Gregor Gantner; Michael Karkulik

doi:10.1137/24M1695646

Space-Time FEM-BEM Couplings for Parabolic Transmission Problems

Thomas Führer
, Gregor Gantner
, Michael Karkulik

Research output: Contribution to journal › Article › Academic › peer-review

1 Citation (Scopus)

Abstract

We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods 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.

Original language	English
Pages (from-to)	1909-1932
Journal	SIAM Journal on Numerical Analysis
Volume	63
Issue number	5
DOIs	https://doi.org/10.1137/24M1695646
Publication status	Published - 31 Oct 2025
Externally published	Yes

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title = "Space-Time FEM-BEM Couplings for Parabolic Transmission Problems",

abstract = "We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods 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.",

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AU - Karkulik, Michael

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N2 - We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods 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.

AB - We develop couplings of a recent space-time first-order system least-squares method for parabolic problems and space-time boundary element methods 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.

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U2 - 10.1137/24M1695646

DO - 10.1137/24M1695646

M3 - Article

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EP - 1932

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

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Space-Time FEM-BEM Couplings for Parabolic Transmission Problems

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