Results 11 to 20 of about 10,929 (167)
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
openaire +4 more sources
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
openaire +4 more sources
A Posteriori Error Estimates for the Allen--Cahn Problem [PDF]
SIAM Journal on Numerical Analysis, 2020 This work is concerned with the proof of \emph{a posteriori} error estimates for fully-discrete Galerkin approximations of the Allen-Cahn equation in two and three spatial dimensions. The numerical method comprises of the backward Euler method combined with conforming finite elements in space.
Konstantinos Chrysafinos +2 more
openaire +2 more sources
Identifying the Unknown Source in Linear Parabolic Equation by a Convoluting Equation Method
Mathematics, 2022 This article is devoted to identifying a space-dependent source term in linear parabolic equations. Such a problem is ill posed, i.e., a small perturbation in the input data may cause a dramatically large error in the solution (if it exists).
Zhenping Li +2 more
doaj +1 more source
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
openaire +4 more sources
A Posteriori Fractional Tikhonov Regularization Method for the Problem of Analytic Continuation
Mathematics, 2021 In this paper, the numerical analytic continuation problem is addressed and a fractional Tikhonov regularization method is proposed. The fractional Tikhonov regularization not only overcomes the difficulty of analyzing the ill-posedness of the ...
Xuemin Xue, Xiangtuan Xiong
doaj +1 more source
An adaptive algorithm for the transport equation with time dependent velocity
SN Applied Sciences, 2020 An a posteriori error estimate is derived for the approximation of the transport equation with a time dependent transport velocity. Continuous, piecewise linear, anisotropic finite elements are used for space discretization, the Crank-Nicolson scheme ...
Samuel Dubuis, Marco Picasso
doaj +1 more source
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
doaj +1 more source
Verification of the ROSFOND/ABBN nuclear data based on the OECD/NEA benchmark on criticality safety of mox-fueled systems [PDF]
Nuclear Energy and Technology, 2019 The paper presents the results of a computational analysis of the OECD/NEA benchmark conducted to estimate the accuracy of the critical safety parameters of multiplying MOX-fueled systems.
Olga N. Andrianova +2 more
doaj +3 more sources
On a posteriori error estimates [PDF]
Mathematics of Computation, 1977 Consider a sequence { x n
openaire +1 more source