Results 111 to 120 of about 36,161 (211)
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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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).
W. Pazner, N. Trask, P.J. Atzberger
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Quasi-Monte Carlo and Discontinuous Galerkin
ETNA - Electronic Transactions on Numerical AnalysisIn this study, we consider the development of tailored quasi-Monte Carlo (QMC) cubatures for non-conforming discontinuous Galerkin (DG) approximations of elliptic partial differential equations (PDEs) with random coefficients. We consider both the affine and uniform and the lognormal models for the input random field, and investigate the use of QMC ...
Kaarnioja, Vesa, Rupp, Andreas
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Stability of Discontinuous Galerkin Spectral Element Schemes for Wave Propagation when the Coefficient Matrices have Jumps. [PDF]
J Sci Comput, 2021 Kopriva DA, Gassner GJ, Nordström J.
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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 isogeometric analysis for segmentations generating overlapping regions. [PDF]
Appl Anal, 2021 Hofer C, Toulopoulos I.
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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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Abstract and Applied Analysis, 2014 By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of ...
Zhong-yan Liu, Huan-zhen Chen
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SoftwareXThis paper introduces the DGFS-BE solver, an open-source Discontinuous Galerkin Fast Spectral solver designed to address the complexities of the Boltzmann equation, a fundamental equation in kinetic theory.
Evgeniia Vorozhbit +4 more
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Discontinuous Galerkin methods for hypersonic flows
Progress in Aerospace SciencesComment: 34 pages, 25 figures, and 1 ...
Dominique S. Hoskin +5 more
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