Results 31 to 40 of about 37,916 (260)
Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
Results in Applied MathematicsThis paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
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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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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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On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws [PDF]
, 2016 In this paper, we present a shock capturing discontinuous Galerkin (SC-DG) method for nonlinear systems of conservation laws in several space dimensions and analyze its stability and convergence.
May, Georg, Zakerzadeh, Mohammad
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Convergence of a discontinuous Galerkin multiscale method [PDF]
, 2012 A convergence result for a discontinuous Galerkin multiscale method for a second order elliptic problem is presented. We consider a heterogeneous and highly varying diffusion coefficient in $L^\infty(\Omega,\mathbb{R}^{d\times d}_{sym})$ with uniform ...
Elfverson, Daniel +3 more
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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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SoftwareX, 2018 The Discontinuous Element Insertion Program is a MATLAB/Octave toolbox for inserting zero-thickness interface elements into two and three dimensional finite element meshes.
Timothy J. Truster
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A posteriori error control for discontinuous Galerkin methods for parabolic problems
, 2010 We derive energy-norm a posteriori error bounds for an Euler time-stepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems.
Emmanuil H. Georgoulis +4 more
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Discontinuous Galerkin approximations in computational mechanics: hybridization, exact geometry and degree adaptivity [PDF]
, 2019 Discontinuous Galerkin (DG) discretizations with exact representation of the geometry and local polynomial degree adaptivity are revisited. Hybridization techniques are employed to reduce the computational cost of DG approximations and devise the ...
Giacomini, Matteo +1 more
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Towards adaptive discontinuous Petrov‐Galerkin methods [PDF]
PAMM, 2016 AbstractThe discontinuous Petrov‐Galerkin (dPG) method is a minimum residual method with broken test functions for instant stability. The methodology is written in an abstract framework with product spaces. It is applied to the Poisson model problem, the Stokes equation, and linear elasticity with low‐order discretizations.
Bringmann, P. +7 more
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