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A-posteriori error estimator

An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems

... an a posteriori error estimator for hermitian positive eigenvalue ...Having a sharp error estimator for eigenvalues is, in general, a difficult ...3] error ...

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Local Defect Correction Method coupled with the Zienkiewicz-Zhu a $posteriori$ error estimator in elastostatics Solid Mechanics

Local Defect Correction Method coupled with the Zienkiewicz-Zhu a $posteriori$ error estimator in elastostatics Solid Mechanics

... HAL Id: cea-02509248 https://hal-cea.archives-ouvertes.fr/cea-02509248 Submitted on 16 Mar 2020 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research ...

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A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations

A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations

... propose a method to post-process the planewave approx- imation of the eigenmodes of (linear) periodic Schr¨ odinger operators and obtain a much better accuracy for a limited extra computational ...on ...

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On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

On the derivation of guaranteed and p-robust a posteriori error estimates for the Helmholtz equation

... that a large part of the mesh can be refined before entering the resolved ...proposed a novel a posteriori error estimator for the Helmholtz problem with mixed boundary ...

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Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

... remeshing, A-posteriori error estimator, Transfer techniques, Equilibrated process 1 INTRODUCTION For a large class of problems such as metal forming process like forging, rolling, ...

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A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation

... of a posteriori error estimators that could efficiently drive an adaptive refinement ...(1.1)–(1.3), a posteriori error estimations for conforming Lagrange finite element methods ...

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A guaranteed equilibrated error estimator for the A − ϕ and T − Ω magnetodynamic harmonic formulations of the Maxwell system

A guaranteed equilibrated error estimator for the A − ϕ and T − Ω magnetodynamic harmonic formulations of the Maxwell system

... in a guaranteed and explicitly computable a posteriori error estimator based on an equilibration technique for the harmonic magnetodynamic formulations of the Maxwell ...residual ...

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Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations

... with a posteriori error estimation for Galerkin discretizations of ...the error (we also refer the reader to the numerical experiments presented in Section ...the estimator is used as ...

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Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods

... our a posteriori error ...still a Neumann boundary one) are ...reaction, a reaction quadrature estimator may be present as ...the error as well, where in particular the ...

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A posteriori error estimation based on potential and flux reconstruction for the heat equation

A posteriori error estimation based on potential and flux reconstruction for the heat equation

... of a posteriori error estimates for elliptic problems in [12, 13, 30, 31, 32, ...parabolic a posteriori error estimates from elliptic estimates on each time level is rather ...

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A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures

A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures

... derive a posteriori error estimates, for such a model in order to introduce an auto- adaptive mesh refinement ...Several a posteriori error estimators for mixed finite ...

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Discountinuous Galerkin methods and posteriori error analysis for heterogeneous diffusion problems

Discountinuous Galerkin methods and posteriori error analysis for heterogeneous diffusion problems

... pay a spe ial attention to the ase of a heterogeneous and anisotropi diusion tensor K ; it turns out that some fully robust results with respe t to diusion heterogenei ties an be obtained for our new ...

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A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

A posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equations

... As a starting point, we consider the classical diffusion equation and observe that, although the approach presented in [18, Chapter 8] is guaranteed, it remains difficult to prove the local efficiency of the ...

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Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators

Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators

... coupling a posteriori error estimators to shape optimization ...numerical error: on the one hand, the error arising from the approximation of the differential problem and on the other ...

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Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation

... of error in constitu- tive relation, initiated by Ladvéze et ...residual estimator proposed by Babuška and Rheinbold [ 14 ] is mathe- matically rigorous, its extension to 3D nonlinear problems is facing ...

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Residual-based a posteriori error estimation for stochastic magnetostatic problems

Residual-based a posteriori error estimation for stochastic magnetostatic problems

... residual-based error estimator has been developed for an approxi- mation in the stochastic dimension based on a truncated polynomial chaos ...proposed error estimator can be used to ...

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A posteriori error estimation for stochastic static problems

A posteriori error estimation for stochastic static problems

... the estimator and of the MCSM estimated stochastic ...-The estimator and the stochastic error estimated by the MSCM are very ...stochastic error is the same with di fferent orders of ...3) ...

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Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

Asymptotically constant-free, p-robust and guaranteed a posteriori error estimates for the Helmholtz equation

... HAL Id: hal-02321140 https://hal.inria.fr/hal-02321140 Submitted on 21 Oct 2019 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they ...

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Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

Guaranteed and robust a posteriori error estimates and balancing discretization and linearization errors for monotone nonlinear problems

... to a system of nonlinear equations, and, in practice, is solved using an iterative method involving some kind of ...at a given stage of the iterative process and on a given mesh, there are actually ...

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Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

Enhanced error estimator based on a nearly equilibrated moving least squares recovery technique for FEM and XFEM

... paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based pro- cedure is ...of a recovery technique based on an ...

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