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An Unfitted Discontinuous Galerkin Method for Elliptic Interface Problems [PDF]

Journal of Applied Mathematics, 2014
An unfitted discontinuous Galerkin method is proposed for the elliptic interface problems. Based on a variant of the local discontinuous Galerkin method, we obtain the optimal convergence for the exact solution u in the energy norm and its flux p in the ...
Qiuliang Wang, Jinru Chen
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Equivalence Between DFR Method and DG Method for Solving Parabolic Equation and Convection-diffusion Equation

Journal of Harbin University of Science and Technology, 2022
The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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An h-Adaptive Poly-Sinc-Based Local Discontinuous Galerkin Method for Elliptic Partial Differential Equations

Axioms, 2023
For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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Numerical analysis of variable-order fractional KdV-Burgers-Kuramoto equation

Electronic Research Archive, 2022
In this paper, a fully discrete local discontinuous Galerkin finite element method is proposed to solve the KdV-Burgers-Kuramoto equation with variable-order Riemann-Liouville time fractional derivative.
Leilei Wei , Xiaojing Wei, Bo Tang
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NUMERICAL SIMULATION OF A SINGLE RING INFILTRATION EXPERIMENT WITH hp-ADAPTIVE SPACE-TIME DISCONTINUOUS GALERKIN METHOD

Acta Polytechnica, 2021
We present a novel hp-adaptive space-time discontinuous Galerkin (hp-STDG) method for the numerical solution of the nonstationary Richards equation equipped with Dirichlet, Neumann and seepage face boundary conditions.
Vít Dolejší, Michal Kuráž, Pavel Solin   +2 more
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Non-Hydrostatic Discontinuous/Continuous Galerkin Model for Wave Propagation, Breaking and Runup

Computation, 2021
This paper presents a new depth-integrated non-hydrostatic finite element model for simulating wave propagation, breaking and runup using a combination of discontinuous and continuous Galerkin methods.
Lucas Calvo, Diana De Padova, Michele Mossa, Paulo Rosman   +3 more
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Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]

, 2012
In this article, we prove convergence of the weakly penalized adaptive discontinuous Galerkin methods. Unlike other works, we derive the contraction property for various discontinuous Galerkin methods only assuming the stabilizing parameters are large ...
Gudi, Thirupathi, Guzmán, Johnny
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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]

, 2008
We present here a domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by a discontinuous Galerkin method.
Alonso-Rodriguez, Amestoy, Benzi, Bernardi, Boissonnat, Bourdel, Buffa, Chew, Collino, Després, Després, Ern, Ern, Fezoui, Gander, George, Helluy, Hesthaven, Houston, Houston, Hénon, Karypis, Lee, Monk, Perugia, Piperno, Ratiu, Ronan Perrussel, Saad, Sleijpen, Stéphane Lanteri, Victorita Dolean, Vouvakis   +32 more
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Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

Advanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
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A weighted Nitsche discontinuous Galerkin finite element method for plane problems

Journal of Hebei University of Science and Technology, 2018
The classical discontinuous Galerkin finite element method has the unstable numerical problem resulting from the inappropriate stability parameter for elasticity problem with interfaces.
Xiaowei DENG, Jianfei ZHANG, Mingwei WANG   +2 more
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