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The Discontinuous Galerkin Method: Derivation and Properties
2021This text introduces to the main ingredients of the discontinuous Galerkin method, combining the framework of high-order finite element methods with Riemann solvers for the information exchange between the elements. The concepts are explained by the example of linear transport and convergence is evaluated in one, two, and three space dimensions ...
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The discontinuous Petrov–Galerkin method for elliptic problems
Computer Methods in Applied Mechanics and Engineering, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BOTTASSO, CARLO LUIGI +2 more
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Discontinuous Galerkin methods for non-linear elasticity
International Journal for Numerical Methods in Engineering, 2006Summary: This paper presents the formulation and a partial analysis of a class of discontinuous Galerkin methods for quasistatic non-linear elasticity problems. These methods are endowed with several salient features. The equations that define the numerical scheme are the Euler-Lagrange equations of a one-field variational principle, a trait that ...
Eyck, A. Ten, Lew, A.
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Discontinuous Galerkin methods through the lens of variational multiscale analysis
Computer Methods in Applied Mechanics and Engineering, 2022Stein K F Stoter +2 more
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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
SIAM Journal on Numerical Analysis, 2002Douglas N Arnold +2 more
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Stabilization mechanisms in discontinuous Galerkin finite element methods
Computer Methods in Applied Mechanics and Engineering, 2006F Brezzi +2 more
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Limiters for high-order discontinuous Galerkin methods
Journal of Computational Physics, 2007Lilia Krivodonova
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Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
SIAM Journal on Numerical Analysis, 2010Fei Wang +2 more
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