Results 11 to 20 of about 96,751 (277)
Discontinuous Galerkin methods [PDF]
AbstractThis paper is a short essay on discontinuous Galerkin methods intended for a very wide audience. We present the discontinuous Galerkin methods and describe and discuss their main features. Since the methods use completely discontinuous approximations, they produce mass matrices that are block‐diagonal.
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The meshless Galerkin method for pressure distribution simulation of horizontal well reservoir
This paper provides a novel three-dimensional meshless Galerkin for horizontal well reservoir simulation. The pressure function is approached by moving least-square method which consists of weight function, basic function and coefficient.
Shuyong Hu +3 more
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Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]
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 multilevel discontinuous Galerkin method [PDF]
With extended references to the major papers on the subject, this work analyzes mathematically multigrid techniques for two discontinuous Galerkin methods: one for elliptic problems and a second one for singular perturbed advection-diffusion problems. In the former case, the analysis predicts convergence rates of the multigrid method independent of the
Gopalakrishnan, Jay, Kanschat, Guido
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A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]
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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In this work, we deal with high-order solver for incompressible flow based on velocity correction scheme with discontinuous Galerkin discretized velocity and standard continuous approximated pressure.
Liyang Xu +5 more
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Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory [PDF]
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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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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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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Natural neighbour Galerkin methods [PDF]
Natural neighbour co-ordinates (Sibson co-ordinates) is a well-known interpolation scheme for multivariate data fitting and smoothing. The numerical implementation of natural neighbour co-ordinates in a Galerkin method is known as the natural element method (NEM).
V. V. Belikov +3 more
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