Results 31 to 40 of about 96,751 (277)
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023 Background. The purpose of this study is to prove the convergence of the projection method in the problem of diffraction of electromagnetic waves by scatterers of a complex shape. Material and methods.
Aleksey A. Tsupak
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The Discontinuous Galerkin Method with Diffusion [PDF]
Mathematics of Computation, 1992 Let \(\Omega\subset \mathbb{R}^ 2\) be a bounded polygon and \(\alpha=(\alpha_ 1,\alpha_ 2)\) a unit vector. The author considers the following class of constant-coefficient convection-diffusion equations: (1) \(u_ \alpha-\sigma_ 1u_{xx}-\sigma_ 2u_{yy}=f\), where \((x,y)\in \Omega\), \(u_ \alpha=\alpha\cdot\bigtriangledown u\) and \(\sigma_ 1\) and \(\
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Abstract and Applied Analysis, 2014 A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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An Approximate Solution of the Bending of Beams on a Nonlinear Elastic Foundation with the Galerkin Method [PDF]
Journal of Applied and Computational MechanicsThe analysis of beam deformation on elastic foundation is very important in engineering applications, and studies of beams on linear elastic foundations are abundant and accurate.
Junlong Jiang +5 more
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Numerical Solution of a Fractional Model for HIV Infection of CD4+T Cells via Legendre Multiwavelet Functions [PDF]
International Journal Bioautomation, 2020 In this paper, we introduce a Galerkin method based on Legendre multiwavelet functions to obtain approximate solutions of a fractional model for HIV infection of CD4+T cells corresponding to a class of systems of nonlinear fractional differential ...
Ensiyeh Sokhanvar +1 more
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High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation [PDF]
, 2018 We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time.
Coulette, David +4 more
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A Galerkin method with smoothing
Journal of Approximation Theory, 1990 AbstractThis paper presents a modified version of the Galerkin method in which the original bilinear form and the corresponding linear functional are perturbed by means of a smoothing parameter. Although, as Cea's lemma shows, it is not possible to improve the rate of convergence, we prove that our scheme provides a smaller error bound than the usual ...
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Journal 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
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Advances in Mechanical Engineering, 2016 The crashworthiness of a railway vehicle relates to its passive safety performance. Due to mesh distortion and difficulty in controlling the hourglass energy, conventional finite element methods face great challenges in crashworthiness simulation of ...
Zhao Tang +4 more
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Implicit large-eddy simulation of compressible flows using the Interior Embedded Discontinuous Galerkin method [PDF]
, 2016 We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the compressible Navier ...
Fernandez, Pablo +3 more
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