A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing

Flux correction tools for finite elements

Journal of Computational Physics

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems

Mathematics of Computation

A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation

Journal of Computational Physics

Aspects of discontinuous Galerkin methods for hyperbolic conservation laws

Finite Elements in Analysis and Design - Robert J. Melosh medal competition

Local Discontinuous Galerkin Methods for Partial Differential Equations with Higher Order Derivatives

Journal of Scientific Computing

Eigensolution analysis of the discontinuous Galerkin method with nonuniform grids: I. one space dimension

Journal of Computational Physics

An efficient automatic mesh generator for quadrilateral elements implemented using C++

Finite Elements in Analysis and Design

Local discontinuous Galerkin methods for nonlinear dispersive equations

Journal of Computational Physics

Superconvergence of Discontinuous Finite Element Solutions for Transient Convection--diffusion Problems

Journal of Scientific Computing

Discontinuous Galerkin Spectral/hp Element Modelling of Dispersive Shallow Water Systems

Journal of Scientific Computing

Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems

Journal of Scientific Computing

An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method

Journal of Scientific Computing

Local discontinuous Galerkin methods for nonlinear Schrödinger equations

Journal of Computational Physics

p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Journal of Computational Physics

Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems

Journal of Scientific Computing

An a posteriori error estimate for the local discontinuous Galerkin method

Journal of Scientific Computing

Discontinuous Galerkin spectral/hpelement modelling of dispersive shallow water systems

Journal of Scientific Computing

Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems

Journal of Scientific Computing

Spectral/hp discontinuous Galerkin methods for modelling 2D Boussinesq equations

Journal of Computational Physics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics - The third international conference on the numerical solutions of volterra and delay equations, May 2004, Tempe, AZ

A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids

Journal of Computational Physics

Spectral (finite) volume method for conservation laws on unstructured grids VI: Extension to viscous flow

Journal of Computational Physics

A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems

Applied Numerical Mathematics - Selected papers from the first Chilean workshop on numerical analysis of partial differential equations (WONAPDE 2004)

Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations

Journal of Computational Physics

Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Journal of Computational Physics

On the multidimensional gas-kinetic BGK scheme

Journal of Computational Physics

An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow

Journal of Computational Physics

A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations

Journal of Computational Physics

An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier-Stokes equations

Journal of Computational Physics

Stabilized discontinuous finite element approximations for Stokes equations

Journal of Computational and Applied Mathematics

A numerical method for a second-gradient theory of incompressible fluid flow

Journal of Computational Physics

A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations

Journal of Scientific Computing

A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes

Journal of Computational Physics

A Runge-Kutta discontinuous Galerkin method for viscous flow equations

Journal of Computational Physics

A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics

Journal of Computational Physics

Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes

Journal of Computational Physics

Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations

Journal of Computational Physics

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

Journal of Computational Physics

h-Multigrid for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations

Journal of Computational Physics

A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases

Journal of Computational Physics

A DGBGK scheme based on WENO limiters for viscous and inviscid flows

Journal of Computational Physics

A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids

Journal of Computational Physics

An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations

Journal of Computational Physics

Numerical Simulation for Porous Medium Equation by Local Discontinuous Galerkin Finite Element Method

Journal of Scientific Computing

Polymorphic nodal elements and their application in discontinuous Galerkin methods

Journal of Computational Physics

Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations

Journal of Computational Physics

Superconvergence of local discontinuous Galerkin methods for one-dimensional convection-diffusion equations

Computers and Structures

Application of Discontinuous Galerkin Methods for Reaction-Diffusion Systems in Developmental Biology

Journal of Scientific Computing

A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Journal of Scientific Computing

Local Discontinuous Galerkin Method for Surface Diffusion and Willmore Flow of Graphs

Journal of Scientific Computing

Stable Interface Conditions for Discontinuous Galerkin Approximations of Navier-Stokes Equations

Journal of Scientific Computing

A unifying lifting collocation penalty formulation including the discontinuous Galerkin, spectral volume/difference methods for conservation laws on mixed grids

Journal of Computational Physics

An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations

Journal of Computational Physics

Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws

Applied Numerical Mathematics

A Study of Viscous Flux Formulations for a p-Multigrid Spectral Volume Navier Stokes Solver

Journal of Scientific Computing

Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation

Journal of Scientific Computing

Local discontinuous Galerkin methods for the generalized Zakharov system

Journal of Computational Physics

Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation

Journal of Computational Physics

A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids

Journal of Computational Physics

A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations

Journal of Computational Physics

A discontinuous mixed covolume method for elliptic problems

Journal of Computational and Applied Mathematics

Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension

SIAM Journal on Numerical Analysis

Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities

SIAM Journal on Numerical Analysis

Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method

SIAM Journal on Numerical Analysis

High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics

Journal of Computational Physics

DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation

Journal of Computational Physics

Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous galerkin method

Journal of Computational Physics

The Elastoplast Discontinuous Galerkin (EDG) method for the Navier-Stokes equations

Journal of Computational Physics

Recovery of normal derivatives from the piecewise L2 projection

Journal of Computational Physics

A stable interface element scheme for the p-adaptive lifting collocation penalty formulation

Journal of Computational Physics

Sensitivity analysis of limit cycle oscillations

Journal of Computational Physics

Optimal Error Estimates of the Local Discontinuous Galerkin Method for Surface Diffusion of Graphs on Cartesian Meshes

Journal of Scientific Computing

A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids

Journal of Computational Physics

A Superconvergent Local Discontinuous Galerkin Method for Elliptic Problems

Journal of Scientific Computing

Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics

Journal of Computational Physics

Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations

SIAM Journal on Numerical Analysis

Compact and Stable Discontinuous Galerkin Methods for Convection-Diffusion Problems

SIAM Journal on Scientific Computing

Time Implicit High-Order Discontinuous Galerkin Method with Reduced Evaluation Cost

SIAM Journal on Scientific Computing

hp-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows: Part I. Multilevel analysis

Journal of Computational Physics

Upscaling for the Laplace problem using a discontinuous Galerkin method

Journal of Computational and Applied Mathematics

A semi-implicit, semi-Lagrangian, p-adaptive discontinuous Galerkin method for the shallow water equations

Journal of Computational Physics

Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting

Journal of Computational Physics

A locking-free discontinuous Galerkin method for linear elasticity in locally nearly incompressible heterogeneous media

Applied Numerical Mathematics

Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods

Journal of Computational Physics

Investigation of Commutative Properties of Discontinuous Galerkin Methods in PDE Constrained Optimal Control Problems

Journal of Scientific Computing

An Analysis of the Dissipation and Dispersion Errors of the PNPM Schemes

Journal of Scientific Computing

A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations

Journal of Scientific Computing

A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids

Journal of Computational Physics

On the stability of the symmetric interior penalty method for the Spalart-Allmaras turbulence model

Journal of Computational and Applied Mathematics

A hybrid mixed method for the compressible Navier-Stokes equations

Journal of Computational Physics

A Spalart-Allmaras turbulence model implementation in a discontinuous Galerkin solver for incompressible flows

Journal of Computational Physics

Energy stable flux reconstruction schemes for advection-diffusion problems on triangles

Journal of Computational Physics

Short note: A short note on the discontinuous Galerkin discretization of the pressure projection operator in incompressible flow

Journal of Computational Physics

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg-de Vries equation

Journal of Computational and Applied Mathematics

A Superconvergent Discontinuous Galerkin Method for Hyperbolic Problems on Tetrahedral Meshes

Journal of Scientific Computing

High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows

Journal of Computational Physics

Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems

Computers & Mathematics with Applications

On the accuracy and efficiency of discontinuous Galerkin, spectral difference and correction procedure via reconstruction methods

Journal of Computational Physics

Superconvergence and a posteriori error estimates for the LDG method for convection-diffusion problems in one space dimension

Computers & Mathematics with Applications

An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system

Journal of Computational Physics