POSTERIORI ERROR ESTIMATE
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
... a posteriori error estimate for the numerical approximation of the solution of a system modeling the flow of two incompressible and immiscible fluids in a porous ...different error components, ...
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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] ...
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A posteriori error estimate in fluid simulations of turbulent edge plasmas for magnetic fusion in tokamak using the data mining iPoPe method
... AN ERROR The independent Projection on Proper elements (iPoPe) method has been extended from the PoPe method recently detailed in ...an estimate of the numerical error carried out by simulations in ...
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A Robust A Posteriori Error Estimate for Elliptic Non-Homogeneous Equations
... 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] ...
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Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity
... a posteriori error estimate distinguishing the discretization, linearization, and quadrature error estimates, and propose an adaptive algorithm balancing these dierent error ...the ...
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A posteriori error estimates for the effective Hamiltonian of dislocation dynamics
... Figure 4: A posteriori error estimate of order ∆x 7.4 Tests in 2D Here we present some simulations in the two-dimensional case. We recall that in our model what is physically meaningful is not the ...
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Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis
... a posteriori error estimate based on stress tensor functions which are reconstructed from the discrete stress tensor such that they verify both of the above ...a posteriori error es- ...
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Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation
... target error in the adaptive process of ...target error; hence, the sizes of elements can be very small or very large, especially in the high gradient ...average error of the new discretization. If ...
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A Priori Error Estimate of a Multiscale Finite Element Method for Transport Modeling
... priori error estimate of a multiscale finite element method to solve convection-diffusion problems where both velocity and diffusion coefficient exhibit strong variations at a scale which is much smaller ...
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
... the error in an augmented norm including a suitable dual norm of the skew-symmetric part of the differential ...a posteriori error estimation has been proposed by Sangalli 28,29,30 ; it consists in ...
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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... The aim of this work is to extend the a posteriori estimates to the more realistic case of mixed boundary conditions. We propose a very standard low cost discretization relying on the Euler’s implicit scheme in ...
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Error estimate of the Non Intrusive Reduced Basis method with finite volume schemes
... Abstract The context of this paper is the simulation of parameter-dependent partial differential equations (PDEs). When the aim is to solve such PDEs for a large number of parameter values, Reduced Basis Methods (RBM) ...
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Stress and flux reconstruction in Biot's poro-elasticity problem with application to a posteriori error analysis
... 3 EDF R&D, IMSIA, 7 boulevard Gaspard Monge, 91120 Palaiseau, France February 20, 2017 Abstract We derive equilibrated reconstructions of the Darcy velocity and of the total stress ten- sor for Biot’s poro-elasticity ...
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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 estimator. ...
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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... The aim of this work is to extend the a posteriori estimates to the more realistic case of mixed boundary conditions. We propose a very standard low cost discretization relying on the Euler’s implicit scheme in ...
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Certified Descent Algorithm for shape optimization driven by fully-computable a posteriori error estimators
... 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 hand, the ...
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Numerical simulation of metal forming processes with 3D adaptive Remeshing strategy based on a posteriori error estimation
... temperature problems. Often in these types of application, mesh becomes unacceptable due to severe distortion or com- plex workpiece-die contact occurring which induces errors in the key internal variables (plastic ...
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A priori and a posteriori error analysis of mixed and non-conforming finite element methods
... a posteriori par r´esidu est ´egalement due `a Verf¨ urth, voir [Ver96] et [EG04] pour l 6= ...a posteriori ´etant peu coˆ uteuse, elle est utilis´ee dans de nombreux domaines ...a posteriori pour ...
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Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... a posteriori error estimates against the number of elements in uniformly/adaptively refined meshes for ε = 10 −2 , a = ...the error is predicted very well, ...the error away from the center of ...
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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT NAVIER-STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS CHRISTINE BERNARDI † AND TONI SAYAH ‡ ...a posteriori error estimates with two types of ...
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