[PDF] Top 20 Quantitative a posteriori error estimators in Finite Element-based shape optimization
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Quantitative a posteriori error estimators in Finite Element-based shape optimization
... described in figure ...meaning a genuine descent direction is computed at each iteration of the ...algorithm. In tables ...CDA. In particular, we observe that coarse meshes are reliable during ... Voir le document complet
221
Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... develop a sufficiently general and unified framework for a posteriori error estimation in the finite volume method, and, in a larger sense, in any locally ... Voir le document complet
37
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, cutting, ... Voir le document complet
22
A posteriori error estimation for the discrete duality finite volume discretization of the Laplace equation
... observed in [12]; this motivates the study of a posteriori error estimators that could efficiently drive an adaptive refinement ...(1.1)–(1.3), a posteriori error ... Voir le document complet
26
Error Estimation for Model Order Reduction of Finite Element Parametric Problems
... Terms— Finite Element Method, Model Order Reduction, POD method, (D)EI method, error estimation, adaptive procedure ...inite Element (FE) models are now the standard to study electromagnetic ... Voir le document complet
11
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 ...for finite el- ement approximation with emphasis on both ... Voir le document complet
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Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation
... are based on: the estimators based on residuals analysis, introduced by Babuska and Rheiboldt [ 14 ], the estimators based on the concept of error in constitu- tive ... Voir le document complet
19
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 ...proposed in the ... Voir le document complet
12
Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
... derive in this paper a unified framework for a priori and a posteriori error analysis of mixed finite element discretizations of second-order elliptic ...is ... Voir le document complet
32
Frequency-explicit a posteriori error estimates for finite element discretizations of Maxwell's equations
... ELEMENT DISCRETIZATIONS OF MAXWELL’S EQUATIONS ...residual-based a posteriori error estimators for Galerkin-type dis- cretizations of time-harmonic Maxwell’s ...to a ... Voir le document complet
35
Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
... works in the literature have highlighted the great potential of coupling a posteriori error estimators to shape optimization ...algorithms. In the pioneering work ... Voir le document complet
31
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
... Abstract In this paper we derive an a posteriori error estimate for the numerical approximation of the solution of a system modeling the flow of two incompressible and immiscible fluids ... Voir le document complet
31
A finite element heterogeneous multiscale method with improved control over the modeling error
... problems in one and two dimensions showing that the effective parameters are ...domain in R d , 1 ≤ d ≤ ...equation in their variational form and equipped with homogeneous Dirichlet boundary ... Voir le document complet
26
Error Indicator to Assess the Quality of Finite Element Frame Analysis
... The error estimation consists in measuring the difference be- tween two generalized stress ...the finite- element 共FE兲 ...are, in general, not compatible with a displacement ... Voir le document complet
5
Optimization loops for shape and error control: extended lecture notes
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vi[r] ... Voir le document complet
45
A posteriori error estimation for stochastic static problems
... stochastic error estimated by the MSCM are very ...−4 in Fig. 3) the stochastic error is the same with di fferent orders of ...−4 in Fig. 3) a higher order of PCE yields a ... Voir le document complet
5
An a posteriori Error Estimate of Hierarchical Type
... Unit´e de recherche INRIA Lorraine, Technopˆole de Nancy-Brabois, Campus scientifique, ` NANCY 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LES Unit´e de recherche INRIA Rennes, Ir[r] ... Voir le document complet
52
A Posteriori Error Analysis of the Method of Characteristics
... space-time finite element discretizations. It is a linear functional which admits an L 2 - representation involving contributions by the elements and faces of the ...to a posteriori ... Voir le document complet
24
A posteriori error estimation based on potential and flux reconstruction for the heat equation
... are based on defining a H 1 -conforming reconstruction of the potential, continuous and piecewise affine in time, and a locally conservative H(div)- conforming reconstruction of the flux, ... Voir le document complet
23
Quantitative Anisotropic Damage Mechanism in a Forged Aluminum Alloy Studied by Synchrotron Tomography and Finite Element Simulations
... [9] in AA6061 aluminum alloy sheets loaded on the transverse ...consideration in this ...[10–14] based on the work of Thomason [15]. These studies show an in- crease in the crack ... Voir le document complet
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