Results 31 to 40 of about 85,085 (176)

Numerical solution for one-dimensional pure-convection problems using the high-order Taylor-Galerkin element-free method [PDF]

open access: yesمهندسی عمران شریف
The present study proposes a novel approach for solving one-dimensional pure convection problems, utilizing a high-order Taylor Galerkin element-free method. The standard Galerkin method has limitations in solving such problems due to the predominance of
S. Espahbodi Nia, Ali Rahmani Firoozjaee
doaj   +1 more source

Perturbed Galerkin Method for Solving Integro-Differential Equations

open access: yesJournal of Applied Mathematics, 2022
In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of ...
K. Issa   +3 more
doaj   +1 more source

Optimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

open access: yes, 2011
We consider Galerkin finite element methods for semilinear stochastic partial differential equations (SPDEs) with multiplicative noise and Lipschitz continuous nonlinearities.
Kruse, Raphael
core   +1 more source

L2-Error Estimates of the Extrapolated Crank-Nicolson Discontinuous Galerkin Approximations for Nonlinear Sobolev Equations

open access: yesJournal of Inequalities and Applications, 2010
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations.
Hyun Young Lee   +2 more
doaj   +1 more source

Some comparisons and analyses of time or space discontinuous Galerkin methods applied to elastic wave propagation in anisotropic and heterogeneous media

open access: yesAdvanced Modeling and Simulation in Engineering Sciences, 2019
This research work presents some comparisons and analyses of the time discontinuous space–time Galerkin method and the space discontinuous Galerkin method applied to elastic wave propagation in anisotropic and heterogeneous media.
Bing Tie
doaj   +1 more source

Discontinuous Galerkin Methods [PDF]

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2000
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

Wavelet Galerkin method for fractional elliptic differential equations [PDF]

open access: yes, 2014
Under the guidance of the general theory developed for classical partial differential equations (PDEs), we investigate the Riesz bases of wavelets in the spaces where fractional PDEs usually work, and their applications in numerically solving fractional ...
Deng, Weihua   +2 more
core  

Time-space adaptive discontinuous Galerkin method for advection-diffusion equations with non-linear reaction mechanism

open access: yes, 2014
In this work, we apply a time-space adaptive discontinuous Galerkin method using the elliptic reconstruction technique with a robust (in P\'eclet number) elliptic error estimator in space, for the convection dominated parabolic problems with non-linear ...
Karasözen, Bülent, Uzunca, Murat
core   +1 more source

A NUMERICAL METHOD AND A PARALLEL ALGORITHM FOR SOLVING THE PROBLEM OF ELECTROMAGNETIC WAVE DIFFRACTION ON A NON-PLANAR PERFECTLY CONDUCTING SCREEN

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The purpose of the work is to develop and implement the parallel algorithm for numerical solving the problem of electromagnetic wave diffraction by non-planar perfectly conducting screens. Materials and methods. Vector integro-differential
A. A. Tsupak
doaj   +1 more source

High Order Discontinuous Galerkin Method [PDF]

open access: yes, 2007
Standard continuous Galerkin-based finite element methods have poor stability properties when applied to transport-dominated flow problems, so excessive numerical stabilization is needed.
Stamm, Benjamin
core  

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