A superconvergent hybridizable discontinuous Galerkin method for weakly compressible magnetohydrodynamics
type: Item
instance of: scholarly article
title: A superconvergent hybridizable discontinuous Galerkin method for weakly compressible magnetohydrodynamics
author: Andrea La Spina
author: Jacob Fish
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-12-13T00:00:00Z
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76N15
zbMATH DE Number: 7442813
zbMATH Keywords: superconvergence
zbMATH Keywords: finite element methods
zbMATH Keywords: hybridizable discontinuous Galerkin
zbMATH Keywords: weakly compressible flows
zbMATH Keywords: magnetohydrodynamics
MaRDI profile type: Publication
full work available at URL: j.cma.2021.114278
OpenAlex ID: W3215846254
cites work: Introduction to Magnetohydrodynamics
cites work: Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
cites work: Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains
cites work: A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations
cites work: A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
cites work: The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
cites work: Locally divergence-free discontinuous Galerkin methods for the Maxwell equations.
cites work: Locally implicit discontinuous Galerkin method for time domain electromagnetics
cites work: A high-order non-conforming discontinuous Galerkin method for time-domain electromagnetics
cites work: Petrov-Galerkin and discontinuous-Galerkin methods for time-domain and frequency-domain electromagnetic simulations
cites work: A discontinuous Galerkin method for the viscous MHD equations
cites work: Locally divergence-free discontinuous Galerkin methods for MHD equations
cites work: Arbitrary high-order discontinuous Galerkin schemes for the magnetohydrodynamic equations
cites work: A mixed DG method for linearized incompressible magnetohydrodynamics
cites work: Central discontinuous Galerkin methods for ideal MHD equations with the exactly divergence-free magnetic field
cites work: Comparison of high-order continuous and hybridizable discontinuous Galerkin methods for incompressible fluid flow problems
cites work: Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems
cites work: Hybridizable discontinuous Galerkin with degree adaptivity for the incompressible Navier-Stokes equations
cites work: HDG-NEFEM with degree adaptivity for Stokes flows
cites work: Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations
cites work: A mixed DG method and an HDG method for incompressible magnetohydrodynamics
cites work: A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems
cites work: Laminar capillary flow of compressible viscous fluids
cites work: On the mathematical modelling of a compressible viscoelastic fluid
cites work: New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity
cites work: Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
cites work: A superconvergent HDG method for Stokes flow with strongly enforced symmetry of the stress tensor
cites work: An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations
cites work: Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
cites work: Q4252682
cites work: Modeling and simulation of nonlinear electro-thermo-mechanical continua with application to shape memory polymeric medical devices
cites work: The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
cites work: A finite element method for magnetohydrodynamics
cites work: Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
cites work: On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
cites work: An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations
cites work: Analytical solution for MHD flow of a magnetic fluid within a thick porous annulus
cites work: Evaluation of weakly compressible SPH variants using derived analytical solutions of Taylor-Couette flows
cites work: A Simple Mesh Generator in MATLAB
DOI: 10.1016/J.CMA.2021.114278
description: scientific article; zbMATH DE number 7442813