AFEM

AcronymDefinition
AFEMArmed Forces Expeditionary Medal
AFEMAdaptive Finite Element Method (mathematics)
AFEMAutonomous Foreign Exchange Market (est. 1995)
AFEMAssociation des Femmes Éducatrices du Mali (French: Association of Women Educators in Mali)
AFEMAir Force Emergency Management (US Air Force)
AFEMAnsvar for Egen Mestring (Norwegian: Responsibility for Self Mastery)
References in periodicals archive ?
The reciprocal error estimate is also applied to study, for the case of polygonal quadrilaterals, the accuracy of SC Toolbox and the AFEM method, and mutual accuracy comparisons are given.
The following local bound for the estimator in terms of the local difference between two Galerkin solutions up to a local oscillation term plays a key role in the convergence analysis of AFEM.
As mentioned in the previous section, a successful convergent AFEM should include the so-called oscillation reduction.
k[greater than or equal to]0] be a sequence of nested finite element spaces generated by algorithm AFEM and let [{[u.
Then there exist constants [beta] > 0 and 0 < [rho] < 1, depending only on the shape regularity of meshes, the data, the dimension n, the parameters [alpha], [theta], [gamma] used by AFEM, such that for any two consecutive iterates k and k + 1 we have
Therefore, algorithm AFEM converges with a linear rate p, namely
For the proof of the optimal complexity of algorithm AFEM, we introduce some notation from nonlinear approximation theory, developed in [5, 6, 13, 22].
k[greater than or equal to]0] be a sequence of nested finite element spaces produced by algorithm AFEM and let [{[u.
1], depending only on the shape regularity of the initial mesh, the data, the dimension n, the parameters [alpha], [theta], [gamma] used by AFEM, and N([T.
Now, we can prove the optimality of the algorithm AFEM.
Up to now, a large amount of work has been performed concerning AFEMs based on a posteriori error estimation for finite element methods, which typically consists of successive loops of the sequence
Apart from the well-known results in the one dimensional case by Babuska and Vogelius [3], the convergence of AFEMs in the multidimensional case was an open issue before the work by D6rfler [15], which was later extended by Morin, Nochetto and Siebert [19, 20], and more recently by Carstensen and Hoppe for mixed FEM [7] and for nonconforming FEM [8], by Mekchay and Nochetto for general second order linear elliptic PDE [17].