Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows
type: Item
instance of: scholarly article
title: Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows
zbMATH Open document ID: 1390.76307
author: Vit Dolejsi
author: Filip Roskovec
author: M. Vlasák
published in: Computers and Fluids
publication date: 2018-06-22T00:00:00Z
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 76Nxx
zbMATH DE Number: 6893484
zbMATH Keywords: space-time discontinuous Galerkin method
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: nonlinear algebraic problems
zbMATH Keywords: residual error estimates
describes a project that uses: ANGENER
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.compfluid.2015.05.027
OpenAlex ID: W584410610
cites work: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
cites work: Q4952242
cites work: Spectral/hp methods for viscous compressible flows on unstructured 2D meshes
cites work: Q4952986
cites work: Cell-centered discontinuous Galerkin discretizations for two-dimensional scalar conservation laws on unstructured grids and for one-dimensional Lagrangian hydrodynamics
cites work: Explicit discontinuous Galerkin methods for unsteady problems
cites work: Agglomeration based discontinuous Galerkin discretization of the Euler and Navier-Stokes equations
cites work: Q4920592
cites work: Simulation of compressible viscous flow in time-dependent domains
cites work: Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations
cites work: A design of residual error estimates for a high order BDF‐DGFE method applied to compressible flows
cites work: A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems
cites work: Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. I: General formulation.
cites work: Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. II: Efficient flux quadrature.
cites work: Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
cites work: Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
cites work: \(h\)-multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
cites work: A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension
cites work: A discontinuous Galerkin scheme based on a space-time expansion. II: Viscous flow equations in multi dimensions
cites work: Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion
cites work: Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems
cites work: A posteriori error estimates for the Crank–Nicolson method for parabolic equations
cites work: A new a posteriori error estimation for nonlinear time-dependent finite element analysis
cites work: A posteriori error estimation and adaptivity for degenerate parabolic problems
cites work: A posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equations
cites work: A posteriori error estimates for nonlinear problems. 𝐿^{𝑟}(0,𝑇;𝐿^{𝜌}(Ω))-error estimates for finite element discretizations of parabolic equations
cites work: A framework for robust a posteriori error control in unsteady nonlinear advection-diffusion problems
cites work: Q5479952
cites work: An optimal control approach to a posteriori error estimation in finite element methods
cites work: Adjoint methods for PDEs: a posteriori error analysis and postprocessing by duality
cites work: Space-Time Error Representation and Estimation in Navier-Stokes Calculations
cites work: Output-based space-time mesh adaptation for the compressible Navier-Stokes equations
cites work: Q5268523
cites work: Q4422694
cites work: On a robust discontinuous Galerkin technique for the solution of compressible flow
cites work: Q4139197
cites work: Q3094428
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
cites work: Analysis and application of the IIPG method to quasilinear nonstationary convection-diffusion problems
cites work: A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow
cites work: Q4818644
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems
cites work: Discontinuous Galerkin approximation with discrete variational principle for the nonlinear Laplacian
cites work: A posteriori estimation of the linearization error for strongly monotone nonlinear operators
cites work: \textit{hp}-DGFEM for nonlinear convection-diffusion problems
cites work: Adaptive backward difference formula–Discontinuous Galerkin finite element method for the solution of conservation laws
cites work: Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes
cites work: Anisotropic \(hp\)-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs
cites work: The p- and h-p versions of the finite element method. An overview
cites work: An optimal L (L2)-error estimate for the discontinuous Galerkin approximation of a nonlinear non-stationary convection-diffusion problem
cites work: Q4247279
cites work: High order one-step monotonicity-preserving schemes for unsteady compressible flow calculations.
cites work: Q4496454
DOI: 10.1016/J.COMPFLUID.2015.05.027
Recommended article: Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow
Similarity Score: 0.8941467
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws
Similarity Score: 0.89289165
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Discontinuous Galerkin solution of compressible flow in time-dependent domains
Similarity Score: 0.88793635
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations
Similarity Score: 0.88751245
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Discontinuous Galerkin Method
Similarity Score: 0.88666534
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: A residual-based compact scheme for the compressible Navier-Stokes equations
Similarity Score: 0.88409215
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Q4952252
Similarity Score: 0.88246214
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: Discontinuous Galerkin Method – A Robust Solver for Compressible Flow
Similarity Score: 0.8817449
Recommender Run: Recommender Run 3

Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (Recommended article)
Recommended article: On a robust discontinuous Galerkin technique for the solution of compressible flow
Similarity Score: 0.8794619
Recommender Run: Recommender Run 3