Results 11 to 20 of about 400,777 (180)
Discontinuous Finite Element Methods for Interface Problems: Robust A Priori and A Posteriori Error Estimates [PDF]
SIAM Journal on Numerical Analysis, 2017 For elliptic interface problems in two and three dimensions, this paper studies a priori and residual-based a posteriori error estimations for the Crouzeix–Raviart nonconforming and the discontinuous Galerkin finite element approximations.
Cai, Z, He, C, Zhang, S
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A priori error estimates for Lagrange interpolation on triangles [PDF]
Applications of Mathematics, 2015 15 pages, 2 figures To appear in Applications of ...
Kobayashi, Kenta, Tsuchiya, Takuya
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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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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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A priori and a posteriori $W^{1,\infty}$ error analysis of a QC method for complex lattices [PDF]
, 2012 In this paper we prove a priori and a posteriori error estimates for a multiscale numerical method for computing equilibria of multilattices under an external force. The error estimates are derived in a $W^{1,\infty}$ norm in one space dimension.
Abdulle, Assyr +2 more
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A priori error estimates for a linearized fracture control problem [PDF]
Optimization and Engineering, 2020 AbstractA control problem for a linearized time-discrete regularized fracture propagation process is considered. The discretization of the problem is done using a conforming finite element method. In contrast to many works on discretization of PDE constrained optimization problems, the particular setting has to cope with the fact that the linearized ...
Mohammadi, Masoumeh, Wollner, Winnifried
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