Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport
From MaRDI portal
Publication:2178834
DOI10.1007/s10444-020-09755-5zbMath1437.35523OpenAlexW3019403356MaRDI QIDQ2178834
Bruno Després, Guillaume Morel, Christophe Buet
Publication date: 11 May 2020
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://hal.sorbonne-universite.fr/hal-01964528/file/TDG_7.pdf
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boltzmann equations (35Q20) Transport equations (35Q49)
Related Items
Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport ⋮ An asymptotic preserving method for the linear transport equation on general meshes ⋮ Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem ⋮ A Trefftz method with reconstruction of the normal derivative applied to elliptic equations ⋮ Embedded Trefftz discontinuous Galerkin methods ⋮ A roadmap for generalized plane waves and their interpolation properties ⋮ A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer ⋮ \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models ⋮ Diffusive Limit of a Two-Dimensional Well-Balanced Scheme for the Free Klein--Kramers Equation ⋮ A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
Cites Work
- Unnamed Item
- On the eigenstructure of spherical harmonic equations for radiative transport
- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- The structure of well-balanced schemes for Friedrichs systems with linear relaxation
- Elementary solutions of the transport equation and their applications
- An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
- A secular equation for the eigenvalues of a diagonal matrix perturbation
- Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
- Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the \(P_1\) model
- A tent pitching scheme motivated by Friedrichs theory
- A discretization of the multigroup \(P_N\) radiative transfer equation on general meshes
- Asymptotic preserving schemes on distorted meshes for Friedrichs systems with stiff relaxation: application to angular models in linear transport
- Harmonic solutions of transport equations
- Exact analytic solutions of transport equations
- A Survey of Trefftz Methods for the Helmholtz Equation
- The extended/generalized finite element method: An overview of the method and its applications
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- Asymptotic preserving HLL schemes
- Rotation matrices for real spherical harmonics: general rotations of atomic orbitals in space-fixed axes
- Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation
- Exact integration of polynomial-exponential products with application to wave-based numerical methods
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- The discrete-ordinate method in diffusive regimes
- 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
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- Computing Qualitatively Correct Approximations of Balance Laws
- Approximation Theory and Harmonic Analysis on Spheres and Balls
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory