A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
type: Item
instance of: scholarly article
title: A curved boundary treatment for discontinuous Galerkin schemes solving time dependent problems
zbMATH Open document ID: 1352.65380
author: Xiangxiong Zhang
published in: Journal of Computational Physics
publication date: 2016-12-20T00:00:00Z
Mathematics Subject Classification ID: 65M60
zbMATH DE Number: 6666807
zbMATH Keywords: discontinuous Galerkin
zbMATH Keywords: curved boundary
zbMATH Keywords: local discontinuous Galerkin method
zbMATH Keywords: high order accuracy
zbMATH Keywords: conservation laws
zbMATH Keywords: wave equations
MaRDI profile type: Publication
full work available at URL: j.jcp.2015.12.036
OpenAlex ID: W2197596280
cites work: Q5676099
cites work: Polygonal Domain Approximation in Dirichlet's Problem
cites work: Q4162607
cites work: Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
cites work: High-order accurate discontinuous finite element solution of the 2D Euler equations
cites work: Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations
cites work: Implementing Spectral Methods for Partial Differential Equations
cites work: A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
cites work: A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids
cites work: A low-storage curvilinear discontinuous Galerkin method for wave problems
cites work: High-order accurate implementation of solid wall boundary conditions in curved geometries
cites work: Solving convection-diffusion problems on curved domains by extensions from subdomains
cites work: A priori error analysis for HDG methods using extensions from subdomains to achieve boundary conformity
cites work: Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
cites work: A high order moving boundary treatment for compressible inviscid flows
cites work: Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
cites work: The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
cites work: Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media
cites work: TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
cites work: Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
cites work: On maximum-principle-satisfying high order schemes for scalar conservation laws
cites work: On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
cites work: Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
cites work: Convergent Cartesian grid methods for Maxwell's equations in complex geometries.
cites work: Q3621211
DOI: 10.1016/J.JCP.2015.12.036
description: scientific article; zbMATH DE number 6666807