Discontinuous Galerkin FEM of hybrid type
JSIAM Letters, 2010 Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo 153-8914, JapanE-mail {oikawa, kikuchi} ms.u-tokyo.ac.jpReceived September 25, 2009, Accepted March 28, 2010AbstractRecently, the discontinuous Galerkin FEM’s (DGFEM) are widely studied.
Issei Oikawa, Fumio Kikuchi
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Stochastic Discontinuous Galerkin Methods (SDGM) based on fluctuation-dissipation balance
Results in Applied Mathematics, 2019 We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we formulate Stochastic Discontinuous Galerkin Methods (SDGM).
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J Sci Comput, 2021 Kopriva DA, Gassner GJ, Nordström J.
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, 2016 The discontinuous Galerkin finite element method (DG-FEM) is successfully applied to treat a broad variety of transport problems numerically. In this work, we use the full capacity of the DG-FEM to solve the radiative transfer equation in spherical ...
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The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
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Appl Anal, 2021 Hofer C, Toulopoulos I.
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Shock capturing for discontinuous galerkin methods
, 2023 Aquesta tesi doctoral proposa formulacions de Galerkin Discontinu (DG) d’alt ordre per la captura de shocks, obtenint alhora solucions altament precises per problemes de flux compressible. En les últimes dècades, la investigació en els mètodes de DG ha estat en constant creixement.
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The Time Discontinuous H1-Galerkin Mixed Finite Element Method for Linear Sobolev Equations
Discrete Dynamics in Nature and Society, 2015 We combine the H1-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized.
Hong Yu, Tongjun Sun, Na Li
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Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis [PDF]
, 2006 We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite ...
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A Framework for Curved Boundary Representation in 2D Discontinuous Galerkin Euler Solvers
Journal of Applied Fluid Mechanics, 2014 Finite-element based CFD solvers like the family of Discontinuous Galerkin (DG) solvers suffer severely from inaccurate boundary reconstruction. In this matter, developing an accurate and flexible strategy is highly demanded to provide high-order curved ...
Behzad Baghapour +2 more
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