Results 11 to 20 of about 96,751 (277)

Discontinuous Galerkin methods [PDF]

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003
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.
openaire   +2 more sources

The meshless Galerkin method for pressure distribution simulation of horizontal well reservoir

open access: yesPetroleum, 2015
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
doaj   +1 more source

Convergence Analysis of the Lowest Order Weakly Penalized Adaptive Discontinuous Galerkin Methods [PDF]

open access: yes, 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
core   +1 more source

A multilevel discontinuous Galerkin method [PDF]

open access: yesNumerische Mathematik, 2003
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
openaire   +4 more sources

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods [PDF]

open access: yes, 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
core   +5 more sources

Stability evaluation of high-order splitting method for incompressible flow based on discontinuous velocity and continuous pressure

open access: yesAdvances in Mechanical Engineering, 2019
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
doaj   +1 more source

Numerical Quantum Field Theory on the Continuum and a New Look at Perturbation Theory [PDF]

open access: yes, 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
core   +3 more sources

Numerical analysis of the neutron multigroup $SP_N$ equations

open access: yesComptes 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
doaj   +1 more source

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems

open access: yesAbstract and Applied Analysis, 2014
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
doaj   +1 more source

Natural neighbour Galerkin methods [PDF]

open access: yesInternational Journal for Numerical Methods in Engineering, 2000
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
openaire   +3 more sources

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