Results 81 to 90 of about 1,059 (185)

A highly accurate discontinuous Galerkin method for solving nonlinear Bratu's problem

Alexandria Engineering Journal
In this manuscript, we present an innovative approach to address nonlinear Bratu's problem by applying the Discontinuous Galerkin method. Our method accurately computes two-branched numerical solutions of the problem.
H. Temimi, M. Ben-Romdhane
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ADER discontinuous Galerkin schemes for aeroacoustics

Comptes Rendus. Mécanique, 2005
In this paper we apply the ADER approach to the Discontinuous Galerkin (DG) framework for the two-dimensional linearized Euler equations. The result is an efficient high order accurate single-step scheme in time which uses less storage than Runge–Kutta DG schemes, especially for very high order of accuracy.
Dumbser, Michael, C. D. Munz
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A posteriori error approximation in discontinuous Galerkin method on polygonal meshes in elliptic problems. [PDF]

Sci Rep, 2023
Jaśkowiec J, Pamin J.
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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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Implementation of LDG method for 3D unstructured meshes

Revista de Matemática: Teoría y Aplicaciones, 2012
This paper describes an implementation of the Local Discontinuous Galerkin method (LDG) applied to elliptic problems in 3D. The implementation of the major operators is discussed.
Filander A. Sequeira Chavarría, Paul E. Castillo   +1 more
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Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. [PDF]

Int J Numer Methods Eng, 2022
Romor F, Tezzele M, Lario A, Rozza G.
europepmc   +1 more source

Extended hybridizable discontinuous Galerkin method

, 2023
This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface ...
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The discontinuous Galerkin method for the numerical simulation of compressible viscous flow

EPJ Web of Conferences, 2014
In this paper we deal with numerical simulation of the compressible viscous flow. The mathematical model of flow is represented by the system of non-stationary compressible Navier-Stokes equations.
Česenek Jan
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The Dual Characteristic-Galerkin Method

Comptes Rendus. Mathématique
The 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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