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A discontinuous Galerkin method¶for the plate equation
Calcolo, 2002The authors consider the plate problem using a discontinuous Galerkin method. Their main aim is to derive optimal a priori error estimates in various norms and investigate locking phenomena when certain stabilization parameters tend to infinity. The relations of the method to the nonconforming Morley element and to \(C^1\) Argyris element are briefly ...
Hansbo, P., Larson, M. G.
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The Discontinuous Galerkin Method
2014Accuracy preserving and nonoscillatory shock capturing technique is one of the bottlenecks in the development of discontinuous Galerkin method. In this chapter, a new limiter based on the secondary reconstruction and WENO approach in characteristic space is developed for the discontinuous Galerkin method.
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The space-continuous–discontinuous Galerkin method
Computer Methods in Applied Mechanics and Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
SIAM Journal on Numerical Analysis, 2010Fei Wang +2 more
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The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V
Journal of Computational Physics, 1998Bernardo Cockburn, Chi-Wang Shu
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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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