DOI10.1016/j.jcp.2009.06.009zbMath1261.76028arXiv0903.4832OpenAlexW2150038589MaRDI QIDQ843449
Olindo Zanotti, Michael Dumbser
Publication date: 12 October 2009
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.4832
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure,
Discontinuous Galerkin schemes with defect corrections based on reconstruction,
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system,
Fully-implicit orthogonal reconstructed discontinuous Galerkin method for fluid dynamics with phase change,
High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids,
Compact high order finite volume method on unstructured grids I: Basic formulations and one-dimensional schemes,
Compact high order finite volume method on unstructured grids II: extension to two-dimensional Euler equations,
A high order special relativistic hydrodynamic and magnetohydrodynamic code with space-time adaptive mesh refinement,
An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids,
A class of DG/FV hybrid schemes for conservation law IV: 2D viscous flows and implicit algorithm for steady cases,
A high-order hybrid finite difference-finite volume approach with application to inviscid compressible flow problems: a preliminary study,
A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids,
A hybrid Godunov method for radiation hydrodynamics,
A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids,
A reconstructed discontinuous Galerkin method for compressible turbulent flows on 3D curved grids,
Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting,
Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity,
A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids,
A cell-centered polynomial basis for efficient Galerkin predictors in the context of ADER finite volume schemes. the one-dimensional case,
Application of nonlinear Krylov acceleration to a reconstructed discontinuous Galerkin method for compressible flows,
The Montecinos-Balsara ADER-FV polynomial basis: convergence properties \& extension to non-conservative multidimensional systems,
A class of high-order weighted compact central schemes for solving hyperbolic conservation laws,
A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes,
A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows,
ADER-WENO finite volume schemes with space-time adaptive mesh refinement,
A matrix free implicit scheme for solution of resistive magneto-hydrodynamics equations on unstructured grids,
A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D,
\textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws,
High order cell-centered Lagrangian-type finite volume schemes with time-accurate local time stepping on unstructured triangular meshes,
Space-time generalized Riemann problem solvers of order \(k\) for linear advection with unrestricted time step,
Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws,
A reconstructed discontinuous Galerkin method for magnetohydrodynamics on arbitrary grids,
A simplified Cauchy-Kowalewskaya procedure for the local implicit solution of generalized Riemann problems of hyperbolic balance laws,
A reconstructed discontinuous Galerkin method for compressible flows in Lagrangian formulation,
On the eigenvalues of the ADER-WENO Galerkin predictor,
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,
A class of ENO schemes with adaptive order for solving hyperbolic conservation laws,
An operator-based local discontinuous Galerkin method compatible with the BSSN formulation of the Einstein equations,
The compact and accuracy preserving limiter for high-order finite volume schemes solving compressible flows,
Machine learning optimization of compact finite volume methods on unstructured grids,
Compact high order finite volume method on unstructured grids. III: Variational reconstruction,
High order sub-cell finite volume schemes for solving hyperbolic conservation laws. II: Extension to two-dimensional systems on unstructured grids,
Space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell WENO finite-volume limiting for simulation of non-stationary compressible multicomponent reactive flows,
A class of hybrid DG/FV methods for conservation laws. I: Basic formulation and one-dimensional systems,
A class of hybrid DG/FV methods for conservation laws. II: Two-dimensional cases,
A \(4^{\mathrm{th}}\)-order accurate finite volume method for ideal classical and special relativistic MHD based on pointwise reconstructions,
A New High-Order Compact Scheme of Unstructured Finite Volume Method,
Numerical evolution of the resistive relativistic magnetohydrodynamic equations: a minimally implicit Runge-Kutta scheme,
The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. II: Extension to high order finite volume schemes,
A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids,
Comparison of solvers for the generalized Riemann problem for hyperbolic systems with source terms,
A reconstructed discontinuous Galerkin method based on a hierarchical WENO reconstruction for compressible flows on tetrahedral grids,
Compact high order finite volume method on unstructured grids. IV: Explicit multi-step reconstruction schemes on compact stencil,
An alternative SPH formulation: ADER-WENO-SPH,
An efficient high-order least square-based finite difference-finite volume method for solution of compressible Navier-Stokes equations on unstructured grids,
Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids,
An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids,
ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations,
A novel solver for the generalized Riemann problem based on a simplified LeFloch-Raviart expansion and a local space-time discontinuous Galerkin formulation,
Efficient implementation of high order unstructured WENO schemes for cavitating flows,
High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applications to compressible multi-phase flows,
A posteriori subcell finite volume limiter for general \(P_NP_M\) schemes: applications from gasdynamics to relativistic magnetohydrodynamics,
High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes,
An efficient unstructured WENO method for supersonic reactive flows,
A high-order relativistic two-fluid electrodynamic scheme with consistent reconstruction of electromagnetic fields and a multidimensional Riemann solver for electromagnetism,
A simple robust and accurate \textit{a posteriori} sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes,
A hybrid reconstructed discontinuous Galerkin and continuous Galerkin finite element method for incompressible flows on unstructured grids,
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems,
Riemann solutions for spacetime discontinuous Galerkin methods,
High order space-time adaptive ADER-WENO finite volume schemes for non-conservative hyperbolic systems,
A rotated characteristic decomposition technique for high-order reconstructions in multi-dimensions,
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine,
An efficient low-dissipation high-order TENO scheme for MHD flows,
A first order hyperbolic reformulation of the Navier-Stokes-Korteweg system based on the GPR model and an augmented Lagrangian approach,
High-order finite volume schemes based on defect corrections,
A Well Balanced Finite Volume Scheme for General Relativity