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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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06/09/2023
A space-time DG method for the Schrödinger equation with variable potential
We present a space-time ultra-weak discontinuous Galerkin discretization...
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03/13/2023
An unconditionally stable space-time isogeometric method for the acoustic wave equation
In this paper, we focus on high-order space-time isogeometric discretiza...
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12/13/2022
A Hausdorff-measure boundary element method for acoustic scattering by fractal screens
Sound-soft fractal screens can scatter acoustic waves even when they hav...
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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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02/11/2022
Stable approximation of Helmholtz solutions by evanescent plane waves
Solutions of the Helmholtz equation are known to be well approximated by...
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09/17/2021
Spurious Quasi-Resonances in Boundary Integral Equations for the Helmholtz Transmission Problem
We consider the Helmholtz transmission problem with piecewise-constant m...
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06/08/2021
A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation
A space-time Trefftz discontinuous Galerkin method for the Schrödinger e...
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11/09/2020
A space-time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Trefftz methods are high-order Galerkin schemes in which all discrete fu...
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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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09/12/2019