Anisotropic a posteriori error estimates
An adaptive finite element method for the wave equation based on anisotropic a posteriori error estimates in the L2(H1) norm
... For any h > 0 , let T h be a onformal nite element triangulation with triangles K having diameter h K ≤ h . We are looking forward to using triangles with large aspe
t ratio, thus the usual minimum angle ...
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A Residual a Posteriori Error Estimators for a Model for Flow in Porous Media with Fractures
... the error in the H(div; Ω ) × L 2 (Ω ...the error only on the dual variable in the L 2 (Ω ...the error in the natural norm for the primal and dual variables in the 2D case, by using a ...
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Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
... study a posteriori error estimates for convection–diffusion–reaction prob- lems with inhomogeneous and anisotropic diffusion approximated by weighted interior- penalty discontinuous ...
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Metrix User Guide. Error Estimates and Mesh Control for Anisotropic Mesh Adaptation
... is a software that provides by various ways metric to govern the mesh ...from error estimates (a priori or a posteriori) applied to the numerical ...several error ...
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Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
... paper a posteriori error estimates for discretizations of convection–diffusion–reaction equations in two or three space ...Our estimates are valid for any cell-centered finite volume ...
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Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
... A posteriori error estimates for mixed finite element methods were started in the works of Alonso [ 7 ], Braess and Verf¨ urth [ 15 ], Carstensen [ 23 ], Hoppe and Wohlmuth [ 37 ], Achchab et ...
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Bayesian Predictions of Reynolds-Averaged Navier–Stokes Uncertainties Using Maximum a Posteriori Estimates
... to speed up the prediction step. We assume that calibration cost is less critical, since it is done only once in a preliminary phase. Specifically, in this work we use the posterior distributions of [23], and ...
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An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems
... the approximation of the problem, not to the estimator. It can happen either if N is too small and the approximation is poor, or if λ N = λ. This later case, that corresponds to a zero error, is solvable. ...
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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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A posteriori error estimation based on potential and flux reconstruction for the heat equation
... present estimates 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 ...
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Error estimates in periodic homogenization with a non-homogeneous Dirichlet condition
... introduce a few general notations, we also give some recalls on lemmas, definitions and results about the unfolding method in periodic homogenization; this complements the paper which presents the unfolding method ...
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Equilibrated stress tensor reconstruction and a posteriori error estimation for nonlinear elasticity
... using a conforming nite element discretization and iterative linearization ...an a posteriori error estimate distinguishing the discretization, linearization, and quadrature error ...
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Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem
... the error estimators are computed in one stage only solving the problems ( ...of a p-robust error estimator using polynomials of degree p, in contrast to the usual procedure requiring the use of ...
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Anasymptotic behavior and a posteriori error estimates for the generalized overlapping domain decomposition method for a class of the advection -diffussion equations
... an a posteriori error estimates for the generalized overlapping domain decomposition method with Dirichlet boundary conditions on the boundaries for the discrete so- lutions on subdomains for ...
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Quantitative a posteriori error estimators in Finite Element-based shape optimization
... meaning a genuine descent direction is computed at each iteration of the ...identify a genuine descent direction, whereas the number of Degrees of Freedom increases when approaching a minimum of the ...
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A posteriori error analysis for Hydro-Mechanical couplings and implementation in Code_Aster
... A /856.43562 = 1 8 1035A43562 = 1..1> . !&'#(!( + + + + + + + + + + + + + + + + + + + + + + + + + H? L G L , ...
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A posteriori error estimates and adaptivity based on stopping criteria and adaptive mesh re finement for multiphase and thermal flows. Application to steam-assisted gravity drainage
... derive a posteriori error estimates for the compositional model of mul- tiphase Darcy flow in porous media, consisting of a system of strongly coupled nonlinear unsteady partial ...
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A priori and a posteriori error analysis of mixed and non-conforming finite element methods
... d’erreur a poste- riori par r´esidu et hi´erarchique conduisent `a des estimateurs d’erreur a posteriori fiables et opti- maux ind´ependamment des fluctuations de la ...d’erreur a ...
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A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS
... A POSTERIORI ERROR ANALYSIS OF THE TIME DEPENDENT STOKES EQUATIONS WITH MIXED BOUNDARY CONDITIONS CHRISTINE BERNARDI † AND TONI SAYAH ‡ ...optimal a posteriori error with two ...
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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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