Results 121 to 130 of about 37,719 (241)
Revista Facultad de Ingeniería Universidad de Antioquia, 2013 This article develops numerically the advection-diffusion equation problem, using Galerkin on characteristic lines and Streamline Upwind Petrov-Galerkin (SUPG) methods. The dominated advective conditions in the solved problem showed that for cases where
Carlos Humberto Galeano +2 more
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Boundary Value ProblemsThis paper presents two operational matrices. The first one represents integer-order derivatives of the modified shifted Chebyshev polynomials of the second kind.
M. Abdelhakem +3 more
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Meshless methods: theory and application in 3D fracture modelling with level sets [PDF]
, 2010 Accurate analysis of fracture is of vital importance yet methods for effetive 3D calculations are currently unsatisfactory. In this thesis, novel numerical techniques are developed which solve many of these problems. This thesis consists two major parts:
ZHUANG, XIAOYING
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On the convergence of Galerkin approximations
, 1970 Let X be a separable Banach space over the reals and let X· be its dual. If x ϵ X and u ϵ X* we will write and lt;x, u and gt; instead of u (x). Also, if P: X → X is a linear operator we will denote by P* the adjoint from X* into X* which is defined by and lt;x, P* u and gt; = and lt;P x, u and gt;. The strong convergence in X will be denoted by
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, 2021 In this study, we showed Banach space operator in the implementation of equations Galerkin approximate solution method. In here we gave some notions and definitions. Especially, we showed the convergence of Galerkin's approximations implementation of the Galerkin series.
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Discontinuous Galerkin methods for reactive transport in porous media [PDF]
, 2003 textFour discontinuous Galerkin (DG) methods, Oden-Baumann-Babuˇska DG (OBB-DG), Nonsymmetric Interior Penalty Galerkin (NIPG), Symmetric Interior Penalty Galerkin (SIPG) and Incomplete Interior Penalty Galerkin (IIPG), are proposed to solve the ...
Sun, Shuyu, 1971-
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Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis [PDF]
, 2006 We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite ...
Emmanuil H. Georgoulis +5 more
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An implicit-explicit Runge-Kutta discontinuous Galerkin method for advection-diffusion equations
四川大学学报. 自然科学版In this paper， an implicit-explicit Runge-Kutta discontinuous Galerkin method is proposed for the advection-diffusion equation.In the method， a two-stage Runge-Kutta scheme is employed for the temporal discretization， a discontinuous Galerkin method is ...
QING Shuwen, WANG Lu, FENG Minfu
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Spectral Galerkin Methods for Riesz Space-Fractional Convection–Diffusion Equations
Fractal and FractionalThis paper applies the spectral Galerkin method to numerically solve Riesz space-fractional convection–diffusion equations. Firstly, spectral Galerkin algorithms were developed for one-dimensional Riesz space-fractional convection–diffusion equations ...
Xinxia Zhang +4 more
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Nonlinear solid mechanics analysis using the parallel selective element-free Galerkin method [PDF]
, 2013 A variety of meshless methods have been developed in the last fifteen years with an intention to solve practical engineering problems, but are limited to small academic problems due to associated high computational cost as compared to the standard finite
ULLAH, ZAHUR
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