Results 11 to 20 of about 9,300 (265)
A Posteriori Error Estimates for Darcy–Forchheimer’s Problem
Computational Methods in Applied Mathematics, 2022 Abstract This work deals with the a posteriori error estimates for the Darcy–Forchheimer problem. We first introduce the corresponding variational formulation for the nonlinear problem and discretize it by using the finite-element method.
Toni Sayah, Georges Semaan, Faouzi Triki
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Open Mathematics, 2022 In this article, we consider fully discrete characteristic mixed finite elements for convection-diffusion optimal control problems. We use the characteristic line method to treat the hyperbolic part of the state equation as a directional derivative.
Tang Yuelong, Hua Yuchun
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Local Projection-Based Stabilized Mixed Finite Element Methods for Kirchhoff Plate Bending Problems
Abstract and Applied Analysis, 2013 Based on stress-deflection variational formulation, we propose a family of local projection-based stabilized mixed finite element methods for Kirchhoff plate bending problems.
Xuehai Huang
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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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Applied Sciences, 2022 The displacement and stress-based error estimates in a posteriori error recovery of compressible and nearly-incompressible elastic finite element solutions is investigated in the present study.
Mohd. Ahmed +3 more
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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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Advances in Mathematical Physics, 2016 For the Steklov eigenvalue problem, we establish a type of multigrid discretizations based on the fixed-shift inverse iteration and study in depth its a priori/a posteriori error estimates.
Feiyan Li, Hai Bi
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Adaptive Refinement in Advection–Diffusion Problems by Anomaly Detection: A Numerical Study
Algorithms, 2021 We consider advection–diffusion–reaction problems, where the advective or the reactive term is dominating with respect to the diffusive term. The solutions of these problems are characterized by the so-called layers, which represent localized regions ...
Antonella Falini, Maria Lucia Sampoli
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A Posteriori Error Estimates for the Generalized Overlapping Domain Decomposition Methods
Journal of Applied Mathematics, 2012 A posteriori error estimates for the generalized overlapping domain decomposition method (GODDM) (i.e., with Robin boundary conditions on the interfaces), for second order boundary value problems, are derived.
Hakima Benlarbi, Ahmed-Salah Chibi
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Shifted Sobol points and multigrid Monte Carlo simulation
Discrete and Continuous Models and Applied Computational Science, 2021 Multidimensional integrals arise in many problems of physics. For example, moments of the distribution function in the problems of transport of various particles (photons, neutrons, etc.) are 6-dimensional integrals.
Aleksandr A. Belov, Maxim A. Tintul
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