Results 11 to 20 of about 81,392 (265)
Axioms, 2023 This paper considers a theoretical substantiation of the influence of a perturbation of a moving singular point on the analytical approximate solution to the Van der Pol equation obtained earlier by the author.
Victor Orlov
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Results in Applied Mathematics, 2022 Optimal control problems governed by partial differential equations have become a very active and successful research area. So, in this paper, we analyzed a priori and a posteriori error estimates for the hpfinite element discretization of elliptic Robin
Samuel Gbéya +3 more
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Numerical Analysis of a Swelling Poro-Thermoelastic Problem with Second Sound
Mathematics, 2023 In this paper, we analyze, from the numerical point of view, a swelling porous thermo-elastic problem. The so-called second-sound effect is introduced and modeled by using the simplest Maxwell–Cattaneo law. This problem leads to a coupled system which is
Noelia Bazarra +2 more
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Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
Computational Methods in Applied Mathematics, 2022 Abstract In their article “Coupling at a distance HDG and BEM”, Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the boundary element method (BEM) to solve an exterior Dirichlet problem.
Nestor Sánchez +2 more
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Numerical Analysis of an Osseointegration Model
Mathematics, 2020 In this work, we study a bone remodeling model used to reproduce the phenomenon of osseointegration around endosseous implants. The biological problem is written in terms of the densities of platelets, osteogenic cells, and osteoblasts and the ...
Jacobo Baldonedo +2 more
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Advances in Difference Equations, 2019 In this paper, we develop the lower order stabilized finite element methods for the incompressible flow with the slip boundary conditions of friction type whose weak solution satisfies a variational inequality.
Jian Li, Haibiao Zheng, Qingsong Zou
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Finite Element Error Analysis of a Viscoelastic Timoshenko Beam with Thermodiffusion Effects
Mathematics, 2023 In this paper, a thermomechanical problem involving a viscoelastic Timoshenko beam is analyzed from a numerical point of view. The so-called thermodiffusion effects are also included in the model. The problem is written as a linear system composed of two
Jacobo G. Baldonedo +3 more
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Error estimates of finite volume method for Stokes optimal control problem
Journal of Inequalities and Applications, 2021 In this paper, we discuss a priori error estimates for the finite volume element approximation of optimal control problem governed by Stokes equations. Under some reasonable assumptions, we obtain optimal L 2 $L^{2}$ -norm error estimates.
Lin Lan +4 more
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A Priori Error Estimates for Mixed Finite Element Schemes for the Wave Equation
Sultan Qaboos University Journal for Science, 2015 A family of implicit-in-time mixed finite element schemes is presented for the numerical approximation of the acoustic wave equation. The mixed space discretization is based on the displacement form of the wave equation and the time-stepping method ...
Samir Karaa
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A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems
Journal of Applied Mathematics, 2013 A novel characteristic expanded mixed finite element method is proposed and analyzed for reaction-convection-diffusion problems. The diffusion term ∇·(a(x,t)∇u) is discretized by the novel expanded mixed method, whose gradient belongs to the square ...
Yang Liu +4 more
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