Add to ORKGWe consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piecewise analytic boundary, modelling the scattering of acoustic waves at a sound soft obstacle. Our discretisation relies on the Trefftz-discontinuous Galerkin approach with plane wave basis functions on meshes with very general element shapes, geometrically graded towards domain corners. We prove exponential convergence of the discrete solution in terms of number of unknowns
We are concerned with a finite element approximation for time-harmonic wave propagation governed by ...
Abstract. In this paper, we extend to the time-harmonic Maxwell equations the p–version analysis tec...
In this work we focus on the design and the analysis of numerical methods for solving efficiently 2D...
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piece...
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piece...
Monk, Peter B.We apply the Plane Wave Discontinuous Galerkin (PWDG) method to study the direct scatt...
We are concerned with a finite element approximation for time-harmonic wave propagation governed by...
The Trefftz Discontinuous Galerkin (TDG) method is a technique for approximating the Helmholtz equat...
Standard low order Lagrangian finite element discretization of boundary value problems for the Helmh...
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solu...
Helmholtz equation is classically encountered when modelling waves and vibrations. The numerical app...
Recently, a discontinuous Galerkin finite element method with plane wave basis functions was introdu...
Recently, the use of special local test functions other than polynomials in Discontinuous Galerkin (...
Plane wave discontinuous Galerkin (PWDG) methods are a class of Trefftz-type methods for the spatial...
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $p$-version...
We are concerned with a finite element approximation for time-harmonic wave propagation governed by ...
Abstract. In this paper, we extend to the time-harmonic Maxwell equations the p–version analysis tec...
In this work we focus on the design and the analysis of numerical methods for solving efficiently 2D...
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piece...
We consider the two-dimensional Helmholtz equation with constant coefficients on a domain with piece...
Monk, Peter B.We apply the Plane Wave Discontinuous Galerkin (PWDG) method to study the direct scatt...
We are concerned with a finite element approximation for time-harmonic wave propagation governed by...
The Trefftz Discontinuous Galerkin (TDG) method is a technique for approximating the Helmholtz equat...
Standard low order Lagrangian finite element discretization of boundary value problems for the Helmh...
Trefftz methods are high-order Galerkin schemes in which all discrete functions are elementwise solu...
Helmholtz equation is classically encountered when modelling waves and vibrations. The numerical app...
Recently, a discontinuous Galerkin finite element method with plane wave basis functions was introdu...
Recently, the use of special local test functions other than polynomials in Discontinuous Galerkin (...
Plane wave discontinuous Galerkin (PWDG) methods are a class of Trefftz-type methods for the spatial...
Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: analysis of the $p$-version...
We are concerned with a finite element approximation for time-harmonic wave propagation governed by ...
Abstract. In this paper, we extend to the time-harmonic Maxwell equations the p–version analysis tec...
In this work we focus on the design and the analysis of numerical methods for solving efficiently 2D...