DOI10.1006/jcph.2002.7185zbMath1057.76553OpenAlexW2047391773MaRDI QIDQ1868573
J. J. W. van der Vegt, Harmen van der Ven
Publication date: 28 April 2003
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.2002.7185
Spectral p-multigrid discontinuous Galerkin solution of the Navier-Stokes equations,
A novel numerical method of high-order accuracy for flow in unsaturated porous media,
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations,
Graded mesh refinement and error estimates of higher order for DGFE solutions of elliptic boundary value problems in polygons,
A discontinuous Galerkin finite element model for river bed evolution under shallow flows,
The Auxiliary Space Preconditioner for the de Rham Complex,
A space-time discontinuous Galerkin method for linear hyperbolic PDE's with high frequencies,
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies,
An approximate Riemann solver for advection-diffusion based on the generalized Riemann problem,
Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes,
Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion,
Unnamed Item,
$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes,
Theoretical and practical aspects of space-time DG-SEM implementations,
Mapped Tent Pitching Schemes for Hyperbolic Systems,
Discontinuous Galerkin and related methods for ODE,
A Space-Time Finite Element Method for Neural Field Equations with Transmission Delays,
Robust DPG Methods for Transient Convection-Diffusion,
Free-boundary problems for wave-structure interactions in shallow-water: DG-ALE description and local subcell correction,
Commutator errors in the filtering approach to large-eddy simulation,
AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion),
Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes,
Effect of numerical integration in the DGFEM for nonlinear convection‐diffusion problems,
Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol,
Discontinuous Galerkin methods with Trefftz approximations,
Riemann solutions for spacetime discontinuous Galerkin methods,
Adaptive backward difference formula–Discontinuous Galerkin finite element method for the solution of conservation laws,
Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs,
High‐order accuratep‐multigrid discontinuous Galerkin solution of the Euler equations,
Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations,
Analysis of a Space-Time Hybridizable Discontinuous Galerkin Method for the Advection-Diffusion Problem on Time-Dependent Domains,
Extension of domain-free discretization method to simulate compressible flows over fixed and moving bodies,
Comparison of numerical methods for the solution of viscous incompressible and low Mach number compressible flow,
A posteriori sub-cell finite volume limiting of staggered semi-implicit discontinuous Galerkin schemes for the shallow water equations,
A NURBS-based discontinuous Galerkin method for conservation laws with high-order moving meshes,
Shape sensitivity analysis for the compressible Navier-Stokes equations via discontinuous Galerkin methods,
A semi-implicit discontinuous Galerkin finite element method for the numerical solution of inviscid compressible flow,
A moving discontinuous Galerkin finite element method with interface condition enforcement for compressible flows,
\textit{A posteriori} finite-volume local subcell correction of high-order discontinuous Galerkin schemes for the nonlinear shallow-water equations,
Comparison of the performance of high-order schemes based on the gas-kinetic and HLLC fluxes,
A characteristic space-time conservation element and solution element method for conservation laws II. Multidimensional extension,
A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies,
Very high order \(P_NP_M\) schemes on unstructured meshes for the resistive relativistic MHD equations,
Computational error-analysis of a discontinuous Galerkin discretization applied to large-eddy simulation of homogeneous turbulence,
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms,
Space-time discontinuous Galerkin discretization of rotating shallow water equations,
Spectral semi-implicit and space-time discontinuous Galerkin methods for the incompressible Navier-Stokes equations on staggered Cartesian grids,
Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains,
Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on nonconforming meshes,
A multi-scale formulation for compressible turbulent flows suitable for general variational discretization techniques,
A space-time adaptive discontinuous Galerkin scheme,
Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows,
A high-order discontinuous Galerkin method with unstructured space-time meshes for two-dimensional compressible flows on domains with large deformations,
A staggered space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations on two-dimensional triangular meshes,
A discontinuous Galerkin scheme based on a space-time expansion. I: Inviscid compressible flow in one space dimension,
An ADER-type scheme for a class of equations arising from the water-wave theory,
Conservative high-order flux-reconstruction schemes on moving and deforming grids,
Comparisons of \(p\)-adaptation strategies based on truncation- and discretisation-errors for high order discontinuous Galerkin methods,
Approximated Lax pairs for the reduced order integration of nonlinear evolution equations,
Non-dissipative space-time \(hp\)-discontinuous Galerkin method for the time-dependent Maxwell equations,
\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws,
A space-time interior penalty discontinuous Galerkin method for the wave equation,
Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step,
Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolic evolution problems,
A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations,
A staggered semi-implicit discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics,
A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell,
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer-Nunziato model,
Space-time discontinuous Galerkin finite element method for shallow water flows,
Space-time discontinuous Galerkin method for nonlinear water waves,
On a robust discontinuous Galerkin technique for the solution of compressible flow,
A discontinuous Galerkin approach for high-resolution simulations of three-dimensional flows,
Space-time discontinuous Galerkin finite element method for two-fluid flows,
Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation,
A pressure-based semi-implicit space-time discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible Navier-Stokes equations at all Mach numbers,
Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems,
Tensor-product preconditioners for higher-order space-time discontinuous Galerkin methods,
A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows,
Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws,
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions,
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves,
Arbitrary high order \(P_{N}P_{M}\) schemes on unstructured meshes for the compressible Navier-Stokes equations,
A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains,
Discontinuous Galerkin solution of the Navier-Stokes equations on deformable domains,
\(hp\)-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. I: Multilevel analysis,
\(hp\)-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. II: Optimization of the Runge-Kutta smoother,
A simple diffuse interface approach on adaptive Cartesian grids for the linear elastic wave equations with complex topography,
An adaptive multitime multigrid algorithm for time-periodic flow simulations,
Arbitrary high order accurate space-time discontinuous Galerkin finite element schemes on staggered unstructured meshes for linear elasticity,
A space-time hybridizable discontinuous Galerkin method for linear free-surface waves,
Implementation of the entropy viscosity method with the discontinuous Galerkin method,
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes,
Simulation of compressible viscous flow in time-dependent domains,
A staggered semi-implicit spectral discontinuous Galerkin scheme for the shallow water equations,
Discontinuous Galerkin finite element method for shallow two-phase flows,
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems,
A discontinuous Galerkin finite element discretization of the Euler equations for compressible and incompressible fluids,
A space-time discontinuous Galerkin method for Boussinesq-type equations,
A unified framework for the construction of one-step finite volume and discontinuous Galerkin schemes on unstructured meshes,
\(h\)-multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations,
Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation,
Explicit discontinuous spectral element method with entropy generation based artificial viscosity for shocked viscous flows,
A space-time discontinuous Galerkin method for the time-dependent Oseen equations,
On explicit discontinuous Galerkin methods for conservation laws,
Space-time discontinuous Galerkin method for solving nonstationary convection-diffusion-reaction problems.,
Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems,
Spectral element method in time for rapidly actuated systems,
Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations,
Computation of compressible and incompressible flows with a space-time stabilized finite element method,
Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems,
Higher order discontinuous Galerkin method for acoustic pulse problem,
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors,
Discontinuous Galerkin solution of compressible flow in time-dependent domains,
Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics,
Foundations of space-time finite element methods: polytopes, interpolation, and integration,
A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes,
Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations,
A staggered space-time discontinuous Galerkin method for the three-dimensional incompressible Navier-Stokes equations on unstructured tetrahedral meshes,
A characteristic space-time conservation element and solution element method for conservation laws,
Adaptation strategies for high order discontinuous Galerkin methods based on tau-estimation,
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows,
Space-time isogeometric analysis of parabolic evolution problems,
Semi-implicit discontinuous Galerkin methods for the incompressible Navier-Stokes equations on adaptive staggered Cartesian grids,
An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density,
Hybrid methods for radiation transport using diagonally implicit Runge-Kutta and space-time discontinuous Galerkin time integration,
A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations,
ADER schemes on unstructured meshes for nonconservative hyperbolic systems: applications to geophysical flows,
Impact of liquid sloshing on the behaviour of vehicles carrying liquid cargo,
An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains,
An interface-tracking space-time hybridizable/embedded discontinuous Galerkin method for nonlinear free-surface flows,
Adaptive numerical dissipation control for high-order \(k\)-exact reconstruction schemes on vertex-centered unstructured grids using artificial neural networks,
Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows. II: Efficient flux quadrature.