Algorithmic issues in modeling motion
ACM Computing Surveys (CSUR)
Aspects of discontinuous Galerkin methods for hyperbolic conservation laws
Finite Elements in Analysis and Design - Robert J. Melosh medal competition
Parallel Numerical Solution of the Boltzmann Equation for Atomic Layer Deposition (Research Note)
Euro-Par '02 Proceedings of the 8th International Euro-Par Conference on Parallel Processing
Layer based solutions for constrained space-time meshing
Applied Numerical Mathematics - Special issue: Applied numerical computing: Grid generation and solution methods for advanced simulations
Computation of nonclassical shocks using a spacetime discontinuous galerkin method
Proceedings of the 2005 conference on Diversity in computing
A Bi-Hyperbolic Finite Volume Method on Quadrilateral Meshes
Journal of Scientific Computing
Journal of Scientific Computing
Discontinuous Galerkin methods applied to shock and blast problems
Journal of Scientific Computing
A class of difference schemes with flexible local approximation
Journal of Computational Physics
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)
Stabilized discontinuous finite element approximations for Stokes equations
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation
Journal of Computational Physics
Journal of Computational and Applied Mathematics
hpGEM---A software framework for discontinuous Galerkin finite element methods
ACM Transactions on Mathematical Software (TOMS)
Time-harmonic elasticity with controllability and higher-order discretization methods
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A p-th degree immersed finite element for boundary value problems with discontinuous coefficients
Applied Numerical Mathematics
Preconditioning methods for discontinuous Galerkin solutions of the Navier-Stokes equations
Journal of Computational Physics
Journal of Scientific Computing
A Mixed DG Method for Linearized Incompressible Magnetohydrodynamics
Journal of Scientific Computing
Journal of Computational Physics
On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes
International Journal of Applied Mathematics and Computer Science - Scientific Computation for Fluid Mechanics and Hyperbolic Systems
Curvature guided level set registration using adaptive finite elements
Proceedings of the 29th DAGM conference on Pattern recognition
Journal of Computational and Applied Mathematics
Accelerated non-linear finite volume method for diffusion
Journal of Computational Physics
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
SIAM Journal on Numerical Analysis
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
SIAM Journal on Numerical Analysis
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation
SIAM Journal on Scientific Computing
Computational aspects of the new discontinuous Galerkin method
F-and-B'11 Proceedings of the 4th WSEAS international conference on Finite differences - finite elements - finite volumes - boundary elements
Journal of Computational and Applied Mathematics
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Advances in Engineering Software
A multiscale discontinuous galerkin method
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
On the accuracy of high-order finite elements in curvilinear coordinates
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations
Journal of Scientific Computing
To CG or to HDG: A Comparative Study
Journal of Scientific Computing
Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws
Journal of Computational Physics
Journal of Scientific Computing
The Compact Discontinuous Galerkin Method for Nearly Incompressible Linear Elasticity
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
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This volume contains current progress of a new class of finite element method, the Discontinuous Galerkin Method (DGM), which has been under rapid developments recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simulation, turbomachinery, turbulent flows, materials processing, Magneto-hydro-dynamics, plasma simulations and image processing. While there has been a lot of interest in DGM from mathematicians, physicists and engineers, only scattered information is available and there has been no prior effort in organizing and publishing the existing volume of knowledge on this subject. The current volume organizes this knowledge and it covers both theoretical as well as practical issues of the Discontinuous Galerkin method.