Results 41 to 50 of about 121,260 (302)
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]
, 2016 In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
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Regional wave propagation using the discontinuous Galerkin method [PDF]
Solid Earth, 2013 We present an application of the discontinuous Galerkin (DG) method to regional wave propagation. The method makes use of unstructured tetrahedral meshes, combined with a time integration scheme solving the arbitrary high-order derivative (ADER) Riemann ...
S. Wenk, C. Pelties, H. Igel, M. Käser
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Mathematics of Computation, 2016 We present the first a priori error analysis of the hybridizable discontinuous Galerkin method for the approximation of the Navier-Stokes equations proposed in J. Comput. Phys. vol. 230 (2011), pp. 1147-1170.
A. Çesmelioglu +2 more
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Abstract and Applied Analysis, 2014 We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
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Preconditioning of a Hybridized Discontinuous Galerkin Finite Element Method for the Stokes Equations [PDF]
Journal of Scientific Computing, 2018 We present optimal preconditioners for a recently introduced hybridized discontinuous Galerkin finite element discretization of the Stokes equations.
S. Rhebergen, G. N. Wells
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A sharp error analysis for the DG method of optimal control problems
AIMS Mathematics, 2022 In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Galerkin method with arbitrary order $ r \in \mathbb{N}\cup \{0\} $.
Woocheol Choi , Young-Pil Choi
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Open Mathematics, 2018 In this paper we develop and analyze the local discontinuous Galerkin (LDG) finite element method for solving the general Lax equation. The local discontinuous Galerkin method has the flexibility for arbitrary h and p adaptivity, and allows for hanging ...
Wei Leilei, Mu Yundong
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Direct discontinuous Galerkin method for potential magnetic field solutions
Frontiers in Astronomy and Space Sciences, 2022 In this paper, we employ the direct discontinuous Galerkin (DDG) method for the first time to extrapolate the coronal potential magnetic field (PF) with the source surface (SS) and call the developed numerical model as the DDG-PFSS solver. In this solver,
XiaoJing Liu +8 more
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eXtended hybridizable discontinuous Galerkin for incompressible flow problems with unfitted meshes and interfaces [PDF]
, 2018 The eXtended hybridizable discontinuous Galerkin (X-HDG) method is developed for the solution of Stokes problems with void or material interfaces. X-HDG is a novel method that combines the hybridizable discontinuous Galerkin (HDG) method with an eXtended
Fernández Méndez, Sonia +2 more
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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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