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 +32 more
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Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory [PDF]
, 2001 The Source Galerkin method finds approximate solutions to the functional differential equations of field theories in the presence of external sources. While developing this process, it was recognized that approximations of the spectral representations of
D. Petrov +12 more
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Comparison between variational iteration method and Gegenbauer–Galerkin method for solving two dimensional nonlinear Volterra integral equations of the second kind [PDF]
AIP AdvancesThis paper intends to introduce two numerical techniques—the variational iteration method and the Gegenbauer–Galerkin method—for obtaining solutions to two dimensional nonlinear Volterra integral equations of the second kind.
M. H. Ahmed
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Numerical analysis of the neutron multigroup $SP_N$ equations
Comptes Rendus. Mathématique, 2021 The multigroup neutron $SP_N$ equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.
Jamelot, Erell, Madiot, François
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High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation [PDF]
, 2018 We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time.
Coulette, David +4 more
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Adaptive Fourier-Galerkin methods
Mathematics of Computation, 2013 We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d \mathbb {R}^d with dimension d ≥ 1 d\ge 1 . These methods offer unlimited approximation power only restricted by solution and data regularity.
C. Canuto, R. H. Nochetto, VERANI, MARCO
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Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method [PDF]
, 2016 We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the compressible Navier ...
Fernandez, Pablo +3 more
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Discontinuous Galerkin method on reference domain
Computer Assisted Methods in Engineering and Science, 2017 A reference domain is chosen to formulate numerical model using the discontinuous Galerkin with finite difference (DGFD) method. The differential problem, which is defined for the real domain, is transformed in a weak form to the reference domain.
Jan Jaśkowiec
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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 +2 more
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