Andrea Moiola | DeepAI

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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...

0 Sergio Gomez, et al. ∙

∙ 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...

0 António M. Caetano, et al. ∙

∙ 12/10/2022

Space-time virtual elements for the heat equation

We propose and analyze a space-time virtual element method for the discr...

0 Sergio Gomez, et al. ∙

∙ 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...

0 Pratyuksh Bansal, et al. ∙

∙ 09/12/2019

Boundary element methods for acoustic scattering by fractal screens

We study boundary element methods for time-harmonic scattering in R^n (n...

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