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Introduction to Discontinuous Galerkin Methods
2017The purpose of this chapter is to present an overview of the construction of discontinuous Galerkin finite element methods for a general class of second-order partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic partial differential equations, ultra-parabolic equations,
Andrea Cangiani +3 more
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The Discontinuous Galerkin Trefftz Method
2015In the following work we develop a novel numerical method, which is used to approximate time-dependent Maxwell's equations. The method combines an already existing discontinuous Galerkin (DG) method with polynomial Trefftz functions. These polynomial Trefftz functions exactly solve Maxwell's equations in an element-wise fashion.
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The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
Journal of Computational Physics, 1998Bernardo Cockburn, Chi-Wang Shu
exaly
A hybridizable discontinuous Galerkin method for Stokes flow
Computer Methods in Applied Mechanics and Engineering, 2010Bernardo Cockburn
exaly
A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids
Journal of Computational Physics, 2007Hong Luo, Rainald Löhner
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The discontinuous Galerkin method with Lax–Wendroff type time discretizations
Computer Methods in Applied Mechanics and Engineering, 2005Jianxian Qiu +2 more
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A Local Discontinuous Galerkin Method for KdV Type Equations
SIAM Journal on Numerical Analysis, 2002Jue Yan, Chi-Wang Shu
exaly