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Transmission problems and domain decompositions for non-autonomous parabolic equations on evolving domains Amal Alphonse, Ana Djurdjevac, Emil Engström, and Eskil Hansen Abstract. Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. Such equations are numerically challenging as they require large-s

https://www.maths.lu.se/fileadmin/maths/personal_staff/Eskil_Hansen/Evolving_DDM.pdf - 2026-05-15

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Convergence analysis of a full discretization of operator-valued differential Riccati equations Eskil Hansen Tony Stillfjord Teodor Åberg April 28, 2026 Abstract In recent previous work [E. Hansen, T. Stillfjord and T. Åberg, SIAM J. Numer. Anal., to appear], we analyzed the convergence of operator splitting methods applied to operator-valued differential Riccati equations (DRE). In this paper,

https://www.maths.lu.se/fileadmin/maths/personal_staff/Eskil_Hansen/HansenStillfjordAaberg2026_2_arXiv.pdf - 2026-05-15

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Continuous analysis of waveform relaxation for heterogeneous heat equations Philipp Birken[0000−0002−6706−3634] and Martin J. Gander[0000−0001−8450−9223] and Niklas Kotarsky[0009−0001−5135−3776] 1 Introduction We consider the coupling of time dependent partial differential equations (PDEs) across an interface. This can be used to describe the exchange of heat or of forces be- tween different domai

https://www.maths.lu.se/fileadmin/maths/personal_staff/Philipp_Birken/BirkenGanderKotarskyDD24.pdf - 2026-05-15

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XXXX, 1–39 © De Gruyter YYYY Numerical Methods for Unsteady Thermal Fluid Structure Interaction Philipp Birken and Azahar Monge Abstract. We discuss thermal fluid structure interaction processes, where a simulation of the time dependent temperature field is of interest. Thereby, we consider partitioned coupling schemes with a Dirichlet-Neumann method. We present an analysis of the method on a mode

https://www.maths.lu.se/fileadmin/maths/personal_staff/Philipp_Birken/BirkenMonge16RICAM.pdf - 2026-05-15

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Analysis of Bulk Interface Conditions for Atmosphere-Ice-Ocean Coupling Valentina Schüller[0000−0002−4579−4217] , Philipp Birken[0000−0002−6706−3634] , and Hanna Kjellson[0009−0002−1809−0473] Abstract The atmosphere, ocean, and sea ice components in Earth system models are coupled at the sea surface via boundary conditions. In essence, this amounts to coupled heat equations with discontinuous mat

https://www.maths.lu.se/fileadmin/maths/personal_staff/Philipp_Birken/Schueller_Birken_Kjellson_DD29.pdf - 2026-05-15

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VI International Conference on Computational Methods for Coupled Problems in Science and Engineering COUPLED PROBLEMS 2015 B. Schrefler, E. Oñate and M. Papadrakakis(Eds) CONVERGENCE SPEED OF COUPLING ITERATIONS FOR THE UNSTEADY TRANSMISSION PROBLEM AZAHAR MONGE∗ AND PHILIPP BIRKEN∗ ∗Centre for Mathematical Sciences Lund University Box 118, 22100, Lund, Sweden e-mail: azahar.monge@na.lu.se, web p

https://www.maths.lu.se/fileadmin/maths/personal_staff/Philipp_Birken/coupled.pdf - 2026-05-15