An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation

Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing

An adaptive higher order method for solving the radiation transport equation on unstructured grids

Journal of Computational Physics

On the stability of a family of finite element methods for hyperbolic problems

Mathematics of Computation

Analysis of the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated convection-diffusion problems

Journal of Computational and Applied Mathematics

hp-Discontinuous Galerkin Finite Element Methods with Least-Squares Stabilization

Journal of Scientific Computing

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

Journal of Scientific Computing

Enhanced accuracy by post-processing for finite element methods for hyperbolic equations

Mathematics of Computation

Error estimates for the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated problems

Journal of Computational and Applied Mathematics

Unstructured Grid-Based Discontinuous Galerkin Method for Broadband Electromagnetic Simulations

Journal of Scientific Computing

A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media

Journal of Scientific Computing

A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media

Journal of Scientific Computing

A vertex-centered, dual discontinuous Galerkin method

Journal of Computational and Applied Mathematics - Special issue on computational and mathematical methods in science and engineering (CMMSE-2004)

Mass preserving finite element implementations of the level set method

Applied Numerical Mathematics - Numerical methods for viscosity solutions and applications

Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems

Journal of Scientific Computing

Robust smoothers for high-order discontinuous Galerkin discretizations of advection-diffusion problems

Journal of Computational and Applied Mathematics

A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation

Journal of Computational and Applied Mathematics

Superconvergence of discontinuous Galerkin methods for hyperbolic systems

Journal of Computational and Applied Mathematics

A robust a-posteriori error estimator for discontinuous Galerkin methods for convection--diffusion equations

Applied Numerical Mathematics

Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case

Journal of Computational Physics

A discontinuous finite difference streamline diffusion method for time-dependent hyperbolic problems

Computers & Mathematics with Applications

A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations

Journal of Scientific Computing

On the role of Riemann solvers in Discontinuous Galerkin methods for magnetohydrodynamics

Journal of Computational Physics

Finite-element approximation of viscoelastic fluid flow with slip boundary condition

Computers & Mathematics with Applications

An accurate solver for forward and inverse transport

Journal of Computational Physics

Optimal error estimate and superconvergence of the DG method for first-order hyperbolic problems

Journal of Computational and Applied Mathematics

Nonuniform time-step Runge-Kutta discontinuous Galerkin method for Computational Aeroacoustics

Journal of Computational Physics

A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations

Applied Numerical Mathematics

Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems

SIAM Journal on Numerical Analysis

Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity

SIAM Journal on Numerical Analysis

Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws

SIAM Journal on Numerical Analysis

Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

SIAM Journal on Numerical Analysis

Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation

SIAM Journal on Scientific Computing

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

Journal of Computational Physics

Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes

Calcolo: a quarterly on numerical analysis and theory of computation

Finite element methods of an operator splitting applied to population balance equations

Journal of Computational and Applied Mathematics

Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems

SIAM Journal on Numerical Analysis

Analysis of an Interface Stabilized Finite Element Method: The Advection-Diffusion-Reaction Equation

SIAM Journal on Numerical Analysis

Stabilized fully-coupled finite elements for elastohydrodynamic lubrication problems

Advances in Engineering Software

A multiscale discontinuous galerkin method

LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing

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

Journal of Scientific Computing

Dispersion and Dissipation Errors of Two Fully Discrete Discontinuous Galerkin Methods

Journal of Scientific Computing

A Posteriori Error Estimates of Discontinuous Galerkin Method for Nonmonotone Quasi-linear Elliptic Problems

Journal of Scientific Computing

Stabilized finite element discretization applied to an operator-splitting method of population balance equations

Applied Numerical Mathematics

Discontinuous Galerkin method for Krause's consensus models and pressureless Euler equations

Journal of Computational Physics