Abstract and Applied Analysis, 2014 We propose, analyze, and test a fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods ...
Leilei Wei, Xindong Zhang
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Identifying Differential Equations by Galerkin's Method [PDF]
Mathematics of Computation, 1977 A numerical technique based on Galerkin’s method is presented for computing unknown parameters or functions occurring in a differential equation whose solution is known. Under certain conditions a solution can be shown to exist to the integral equation formulation of this problem. It is also shown that the resulting nonlinear system is nonsingular.
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Analysis of the Element-Free Galerkin Method with Penalty for Stokes Problems. [PDF]
Entropy (Basel), 2022 Zhang T, Li X.
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Finite Element Method for the Solution of a Time-Dependent Heat-Like Lane-Emden Equation
Universal Journal of Mathematics and Applications, 2018 In this study, finite element method (FEM) with Galerkin Formula is applied to find the numerical solution of a time-dependent heat-like Lane-Emden equation. An example is solved to assess the accuracy of the method.
Mehmet Fatih Uçar
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The numerical solution of a mathematical model of the Covid-19 pandemic utilizing a meshless local discrete Galerkin method. [PDF]
Eng Comput, 2022 Asadi-Mehregan F +3 more
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Numerical Solution of the Convective and Diffusive Transport Problems in a Heterogeneous Porous Medium Using Finite Element Method [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The finite element approximation of the convective and diffusive transport equation has been considered. Different methods for stabilization of the finite element approximation have been discussed: upwind approximation of the convective term using ...
M.V. Vasilyeva +2 more
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Selection of Radial Basis Functions for the Accuracy of Meshfree Galerkin Method in Rotating Euler-Bernoulli Beam Problem. [PDF]
Int J Appl Comput Math, 2022 Panchore V.
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Comparison of SUPG with Bubble Stabilization Parameters and the Standard SUPG
Abstract and Applied Analysis, 2014 We study a streamline upwind Petrov-Galerkin method (SUPG) with bubble stabilization coefficients on quasiuniform triangular meshes. The new algorithm is a consistent Petrov-Galerkin method and shows similar numerical performances as the standard SUPG ...
Xiaowei Liu, Jin Zhang
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Numerical simulation of fluid-structure interactions with stabilized finite element method
EPJ Web of Conferences, 2016 This paper is interested to the interactions of the incompressible flow with a flexibly supported airfoil. The bending and the torsion modes are considered. The problem is mathematically described.
Sváček Petr
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Kernel-based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method. [PDF]
Int J Numer Methods Eng, 2022 Romor F, Tezzele M, Lario A, Rozza G.
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