Results 21 to 30 of about 8,961 (265)

A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods

open access: yesBoundary Value Problems, 2019
In this paper, we consider the a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic equations.
Chunjuan Hou, Zhanwei Guo, Lianhong Guo
doaj   +1 more source

A Posteriori Error Estimates for a Nonconforming Finite Element Discretization of the Stokes–Biot System

open access: yesDiscrete Dynamics in Nature and Society, 2022
This paper presents an a posteriori error estimator for a (piecewise linear) nonconforming finite element approximation of the problem defining the interaction between a free fluid and poroelastic structure.
Koffi Wilfrid Houédanou
doaj   +1 more source

Shifted Sobol points and multigrid Monte Carlo simulation

open access: yesDiscrete 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
doaj   +1 more source

Applications of the duality theory of convex analysis to the complete electrode model of electrical impedance tomography

open access: yesSelecciones Matemáticas, 2023
The duality theory of convex analysis is applied to the complete electrode model (CEM), which is a standard model in electrical impedance tomography (EIT). This results in a dual formulation of the CEM and a general error estimate.
Josué D. Díaz-Avalos
doaj   +1 more source

A Posteriori Estimation of Dimension Reduction Errors [PDF]

open access: yes, 2004
A new a posteriori error estimator is presented for the verification of the dimensionally reduced models stemming from the elliptic problems on thin domains. The original problem is considered in a general setting, without any specific assumptions on the domain geometry, coefficients and the right-hand sides.
Repin, S, Sauter, S, Smolianski, A
openaire   +2 more sources

A posteriori error estimator and error control for contact problems [PDF]

open access: yesMathematics of Computation, 2009
In this paper, we consider two error estimators for one-body contact problems. The first error estimator is defined in terms of H ( div
Alexander A. Weiss, Barbara I. Wohlmuth
openaire   +2 more sources

New a posteriori error estimates for hp version of finite element methods of nonlinear parabolic optimal control problems

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu   +3 more
doaj   +1 more source

A posteriori error estimates for Maxwell equations [PDF]

open access: yesMathematics of Computation, 2007
Maxwell equations are posed as variational boundary value problems in the function space H ( curl )
openaire   +2 more sources

A Posteriori Error Estimates for Domain Decomposition Methods

open access: yes, 2023
Nowadays, a posteriori error control methods have formed a new important part of the numerical analysis. Their purpose is to obtain computable error estimates in various norms and error indicators that show distributions of global and local errors of a particular numerical solution.
Kraus, Johannes, Repin, Sergey
openaire   +2 more sources

A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes

open access: yesDiscrete Dynamics in Nature and Society, 2012
We extend the existing techniques to study semidiscrete adaptive finite element approximation schemes for a constrained optimal control problem governed by parabolic integrodifferential equations.
Wanfang Shen
doaj   +1 more source

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