Embedded Trefftz discontinuous Galerkin methods (Q6082558)

scientific article; zbMATH DE number 7772283

Language	Label	Description	Also known as
English	Embedded Trefftz discontinuous Galerkin methods	scientific article; zbMATH DE number 7772283

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instance of

scholarly article

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title

Embedded Trefftz discontinuous Galerkin methods (English)

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International Journal for Numerical Methods in Engineering

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publication date

30 November 2023

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full work available at URL

https://arxiv.org/abs/2201.07041

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zbMATH Keywords

discontinuous Galerkin method

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embedded Trefftz

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Trefftz finite elements

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MaRDI profile type

MaRDI publication profile

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cites work

Q5431480

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Trefftz method: An overview

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A Basic Set of Homogeneous Harmonic Polynomials in k Variables

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A Note on Basic Sets of Homogeneous Harmonic Polynomials

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Solution of the three-dimension wave equation by using wave polynomials

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A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation

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Solution of the two-dimensional wave equation by using wave polynomials

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Expansions in Terms of Heat Polynomials and Associated Functions

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The Cauchy Problem For Linear Partial Differential Equations With Restricted Boundary Conditions

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Basic Sets of Polynomial Solutions for Partial Differential Equations

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Approximation by harmonic polynomials in star-shaped domains and exponential convergence of Trefftzhp-dGFEM

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A local-structure-preserving local discontinuous Galerkin method for the Laplace equation

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On the negative-order norm accuracy of a local-structure-preserving LDG method

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A priorierror analysis of space–time Trefftz discontinuous Galerkin methods for wave problems

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Discontinuous Galerkin methods with Trefftz approximations

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A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain

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Tent pitching and Trefftz-DG method for the acoustic wave equation

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A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation

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Space–time Trefftz-DG approximation for elasto-acoustics

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Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport

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Trefftz discontinuous Galerkin method for Friedrichs systems with linear relaxation: application to the \(P_1\) model

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A Space-Time Discontinuous Galerkin Trefftz Method for Time Dependent Maxwell's Equations

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A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation

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Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem

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Plane wave discontinuous Galerkin methods: Analysis of theh-version

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General DG-methods for highly indefinite Helmholtz problems

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Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version

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Plane wave approximation in linear elasticity

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Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

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A discontinuous Galerkin Trefftz type method for solving the two dimensional Maxwell equations

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A plane wave virtual element method for the Helmholtz problem

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Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions

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A nonconforming Trefftz virtual element method for the Helmholtz problem

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A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients

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A generalized plane-wave numerical method for smooth nonconstant coefficients

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Q4652702

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A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations

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Static Condensation, Hybridization, and the Devising of the HDG Methods

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Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems

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A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods

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Algorithm 832

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

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Space–time discontinuous Galerkin approximation of acoustic waves with point singularities

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A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems

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High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows

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A hybridized discontinuous Galerkin method with reduced stabilization

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Identifiers

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6082558