A Trefftz method with reconstruction of the normal derivative applied to elliptic equations
DOI10.1090/mcom/3756zbMath1501.65093OpenAlexW4280571986MaRDI QIDQ5103754
Maria El Ghaoui, Bruno Després, Toni Sayah
Publication date: 8 September 2022
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3756
Error bounds for boundary value problems involving PDEs (65N15) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Other special methods applied to PDEs (35A25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Finite volume methods for boundary value problems involving PDEs (65N08)
Cites Work
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- Functional analysis, Sobolev spaces and partial differential equations
- A symmetric Trefftz-DG formulation based on a local boundary element method for the solution of the Helmholtz equation
- Many names of the Trefftz method
- Computational aspects of the ultra-weak variational formulation
- Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the \(P_1\) model
- Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport
- Trefftz solution for boundary value problem of three-dimensional Poisson equation
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation
- Godunov-Mixed Methods for Advection-Diffusion Equations in Multidimensions
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- An Interior Penalty Finite Element Method with Discontinuous Elements
- The Finite Element Method with Penalty
- Finite Element Methods for Elliptic Equations Using Nonconforming Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- Analysis of an Upwind-Mixed Finite Element Method for Nonlinear contaminant Transport Equations
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- A priorierror analysis of space–time Trefftz discontinuous Galerkin methods for wave problems
- Analysis of Finite Difference Schemes
- Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
- A generalized plane-wave numerical method for smooth nonconstant coefficients
- Nonconforming Elements in the Finite Element Method with Penalty
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