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Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems
Journal of Scientific Computing, 2001Bernardo Cockburn, Chi-Wang Shu
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A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics
, 1998S. Atluri, T. Zhu
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The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V
, 1998Bernardo Cockburn, Chi-Wang Shu
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1977
Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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Consider a separable Hilbert space H and a set M of its elements which is dense in H. According to Theorem 6.18, p. 79, if for some element u ∈ H $$\left( {u,v} \right) = 0\,\,\,holds\,for\,every\,\,\,v \in M,$$ (14.1) then it follows that u = 0 in H. Let now $${\varphi _1},{\varphi _2},\,...$$ (14.2) be a base in H. The assertion is
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A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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2008
Die Formulierung des Randwert problems aus Kapitel 2 als Variationsproblem war muhsam, das Prinzip der Diskretisierung des Variationsproblems ist nun aber kurz darstellbar und lasst sich sehr allgemein formulieren.
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Die Formulierung des Randwert problems aus Kapitel 2 als Variationsproblem war muhsam, das Prinzip der Diskretisierung des Variationsproblems ist nun aber kurz darstellbar und lasst sich sehr allgemein formulieren.
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A stabilized conforming nodal integration for Galerkin mesh-free methods
, 2001Jiun-Shyan Chen +3 more
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