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Journal of Computational Physics, ISSN 0021-9991, 2009, Volume 228, Issue 21, pp. 7863 - 7882
Discontinuous Galerkin (DG) methods for the numerical solution of partial differential equations have enjoyed considerable success because they are both... 
Discontinuous Galerkin | Parallel computation | Many-core | GPU | High order | Maxwell’s equations | Maxwell's equations | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MATHEMATICAL | Multiprocessing | Methods | Algorithms | Mathematics - Numerical Analysis
Journal Article
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2017, Volume 348, pp. 231 - 258
This paper presents a Discontinuous Galerkin scheme in order to solve the nonlinear elliptic partial differential equations of coupled electro-thermal... 
Discontinuous Galerkin method | Error estimates | Nonlinear elliptic problem | Electro-thermal coupling | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | BOUNDARY-VALUE-PROBLEMS | PHYSICS, MATHEMATICAL | FINITE-ELEMENT-METHOD | APPROXIMATION-THEORY | Analysis | Methods | Differential equations
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2009, Volume 47, Issue 2, pp. 1319 - 1365
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2010, Volume 199, Issue 9, pp. 582 - 597
In this paper, we introduce a hybridizable discontinuous Galerkin method for Stokes flow. The method is devised by using the discontinuous Galerkin methodology... 
Discontinuous Galerkin methods | Finite element methods | Hybrid/mixed methods | Augmented Lagrangian | Stokes flow | SYSTEM | PART I | 2ND-ORDER ELLIPTIC PROBLEMS | EQUATIONS | SPACE DIMENSIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | INCOMPRESSIBLE FINITE-ELEMENTS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 12/2019, Volume 398, Issue C, p. 108872
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2007, Volume 226, Issue 1, pp. 879 - 896
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 06/2018, Volume 75, Issue 12, pp. 4505 - 4533
The third paper in our series on open source MATLAB/GNU Octave implementation of the discontinuous Galerkin (DG) method(s) focuses on a hybridized formulation.... 
GNU Octave | Open source | Hybridized discontinuous Galerkin (HDG) method | MATLAB | Vectorization | Diagonally implicit Runge–Kutta method (DIRK) | Rapid prototyping | Methods | Mathematics - Numerical Analysis
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 08/2014, Volume 270, pp. 105 - 137
Journal Article