Adaptive Fourier-Galerkin methods
We study the performance of adaptive Fourier-Galerkin methods in a periodic box in R d
C. Canuto, R. H. Nochetto, VERANI, MARCO
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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems
A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is ...
Umer Saeed, Mujeeb ur Rehman
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Interval element-free Galerkin method for uncertain mechanical problems
An interval element-free Galerkin method was proposed to solve some issues in structural design and analysis of structural parameters that have errors or uncertainties caused by manufacture, installation, measurement, or computation.
Li Ming Zhou, Erfei Zhao, Shuhui Ren
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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]
This 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
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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Discontinuous Galerkin method on reference domain
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 test of the Source Galerkin method [PDF]
Talk presented at LATTICE2002, 3 pages, 2 ...
Petrov, D., Emirdag, P., Guralnik, G. S.
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A weighted Nitsche discontinuous Galerkin finite element method for plane problems
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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The Improved Element-Free Galerkin Method for 3D Helmholtz Equations
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
This 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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