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References in periodicals archive ?
Yang, "The adaptive finite element method based on multi-scale discretizations for eigenvalue problems," Computers & Mathematics with Applications, vol.
Wu, "An adaptive finite element method with perfectly matched absorbing layers for the wave scattering by periodic structures," SIAM J.
In this paper, we present a simple adaptive finite element method for second order elliptic partial differential equations, which is a modification of the MNS algorithm of [19] and [20] by Morin, Nochetto and Siebert.
A simple adaptive finite element method. We start this section with some useful notation.
We say that an adaptive finite element method realizes optimal convergence rates if whenever (u, f) [member of] [W.sup.s], it produces the approximation [u.sub.k] with respect to the triangulation [T.sub.k] such that
HOPPE, Convergence analysis of a conforming adaptive finite element method for an obstacle problem, Numer.
[8] --, Adaptive Finite Element Methods for Differential Equations, Birkhduser, Basel, 2003.
JOHNSON, Adaptive finite element methods for the obstacle problem, Math.
VEESER, Theory of adaptive finite element methods: an introduction, in Multiscale, Nonlinear and Adaptive Approximation, R.
Zhou, "Convergence and complexity of adaptive finite element methods for elliptic partial differential equations," International Journal of Numerical Analysis and Modeling, vol.
STALS, Parallel multigrid on unstructured grids using adaptive finite element methods, PhD thesis, Department of Mathematics, Australian National University, Canberra, Australia, 1995.
STALS, Implementation of multigrid on parallel machines using adaptive finite element methods, in Proceedings of 9th International Conference on Domain Decomposition, P.
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