Local discontinuous Galerkin method for elliptic interface problems
Acta Mathematica Scientia, 2017Abstract In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the elliptic interface problems in two-dimensional domains. The interface may be arbitrary smooth curves. It is shown that the error estimates in L2-norm for the solution and the flux are O(h2|logh|) and O(h|logh1/2), respectively.
Zhijuan ZHANG, Xijun YU, Yanzhen CHANG
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Local discontinuous Galerkin method for parabolic interface problems
Acta Mathematicae Applicatae Sinica, English Series, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Zhi-juan, Yu, Xi-jun
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Local Discontinuous Galerkin Method for the Keller-Segel Chemotaxis Model
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xingjie Helen Li +2 more
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Local Discontinuous Galerkin Methods for the Khokhlov–Zabolotskaya–Kuznetzov Equation
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ching-Shan Chou +3 more
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hp-discontinuous Galerkin method based on local higher order reconstruction
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vít Dolejší, Pavel Solin
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Local discontinuous Galerkin methods for the Cahn–Hilliard type equations
Journal of Computational Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Yinhua, Xu, Y., Shu, Chi-Wang
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Locally divergence-free discontinuous Galerkin methods for the Maxwell equations
Journal of Computational Physics, 2004This paper is devoted to the study of the role of discontinuous Galerkin methods in the numerical analysis of the two-dimensional Maxwell system \[ \frac{\partial H_x}{\partial t}=-\frac{\partial E_z}{\partial y},\quad \frac{\partial H_y}{\partial t}=\frac{\partial E_z}{\partial x},\quad \frac{\partial E_z}{\partial t}=\frac{\partial H_y}{\partial x ...
Cockburn, Bernardo +2 more
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Local Discontinuous Galerkin Methods for the Functionalized Cahn–Hilliard Equation
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Ruihan, Xu, Yan, Xu, Zhengfu
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Local Discontinuous Galerkin Methods for the Boussinesq Coupled BBM System
Journal of Scientific Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buli, Joshua, Xing, Yulong
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Local multilevel methods for adaptive discontinuous Galerkin finite element methods
SCIENTIA SINICA Mathematica, 2012In this paper, the local multilevel methods for discontinuous Galerkin finite element on adaptively refined meshes are considered. By the abstract Schwarz theory, we analyze the convergence rate of the proposed algorithms for smooth and highly discontinuous coefficients separately.
ZhongCi SHI, XueJun XU, PeiPei LU
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