Results 11 to 20 of about 8,961 (265)
Oscillation in a posteriori error estimation [PDF]
Numerische Mathematik, 2021 AbstractIn a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties.
Christian Kreuzer, Andreas Veeser
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A Posteriori Error Estimation for the p-Curl Problem [PDF]
SIAM Journal on Numerical Analysis, 2020 We derive a posteriori error estimates for a semi-discrete finite element approximation of a nonlinear eddy current problem arising from applied superconductivity, known as the $p$-curl problem. In particular, we show the reliability for non-conforming Nédélec elements based on a residual type argument and a Helmholtz-Weyl decomposition of $W^p_0(\text{
Andy T. S. Wan, Marc Laforest
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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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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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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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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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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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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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On a posteriori error estimates [PDF]
Mathematics of Computation, 1977 Consider a sequence { x n
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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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