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Releasing the pressure: High-order surface flow discretizations via discrete Helmholtz-Hodge decompositions
We present a discrete Helmholtz–Hodge decomposition for H(div)-conforming Brezzi–Douglas–Marini (BDM) finite elements …
Tim Brüers, Christoph Lehrenfeld, Tim van Beeck, Max Wardetzky
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Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction
This paper studies pressure-robustness for the axisymmetric Stokes problem. The transformation to cylindrical coordinates requires that …
Philip L. Lederer, Christoph Lehrenfeld, Christian Merdon, Tim van Beeck
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Variational data assimilation for the wave equation in heterogeneous media
In recent years, several numerical methods for solving the unique continuation problem for the wave equation in a homogeneous medium …
Erik Burman, Janosch Preuss, Tim van Beeck
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Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation
In this article, we consider the damped time-harmonic Galbrun’s equation which models solar and stellar oscillations. We …
Martin Halla, Christoph Lehrenfeld, Tim van Beeck
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Analysis and numerical analysis of the Helmholtz-Korteweg equation
We analyze the Helmholtz–Korteweg and nematic Helmholtz–Korteweg equations, variants of the classical Helmholtz equation …
Patrick E. Farrell, Tim van Beeck, Umberto Zerbinati
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An adaptive mesh refinement strategy to ensure quasi-optimality of finite element methods for self-adjoint Helmholtz problems
It is well known that the quasi-optimality of the Galerkin finite element method for the Helmholtz equation is dependent on the mesh …
Tim van Beeck, Umberto Zerbinati
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Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
In this paper we present a new H(div)-conforming unfitted finite element method for the mixed Poisson problem which is robust in the …
Christoph Lehrenfeld, Tim van Beeck, Igor Voulis
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