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06/16/2023
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation
We study the approximation properties of complex-valued polynomial Treff...
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06/15/2023
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
We present a space-time virtual element method for the discretization of...
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01/31/2023
Geometry-based approximation of waves in complex domains
We consider wave propagation problems over 2-dimensional domains with pi...
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12/10/2022
Space-time virtual elements for the heat equation
We propose and analyze a space-time virtual element method for the discr...
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03/22/2022
Exponential Convergence of hp-Time-Stepping in Space-Time Discretizations of Parabolic PDEs
For linear parabolic initial-boundary value problems with self-adjoint, ...
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02/21/2022
On the limiting amplitude principle for the wave equation with variable coefficients
In this paper, we prove new results on the validity of the limiting ampi...
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05/13/2021
Mortar coupling of hp-discontinuous Galerkin and boundary element methods for the Helmholtz equation
We design and analyze a coupling of a discontinuous Galerkin finite elem...
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03/03/2021
An adaptive finite element method for high-frequency scattering problems with variable coefficients
We introduce a new method for the numerical approximation of time-harmon...
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12/21/2020
A p-robust polygonal discontinuous Galerkin method with minus one stabilization
We introduce a new stabilization for discontinuous Galerkin methods for ...
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04/17/2020
A polynomial-degree-robust a posteriori error estimator for Nédélec discretizations of magnetostatic problems
We present an equilibration-based a posteriori error estimator for Nédél...
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04/07/2020
FEM-BEM mortar coupling for the Helmholtz problem in three dimensions
We present a FEM-BEM coupling strategy for time-harmonic acoustic scatte...
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02/26/2020
Space-time discontinuous Galerkin approximation of acoustic waves with point singularities
We develop a convergence theory of space-time discretizations for the li...
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09/04/2019
An equilibrated a posteriori error estimator for arbitrary-order Nédélec elements for magnetostatic problems
We present a novel a posteriori error estimator for Nédélec elements for...
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07/04/2019
Tent pitching and Trefftz-DG method for the acoustic wave equation
We present a space-time Trefftz discontinuous Galerkin method for approx...
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06/24/2019