Adaptive finite element methods (FEMs) have been widely used in applications for over 20
years now. In practice, they converge starting from coarse grids, although no mathematical …

This paper is concerned with the design and analysis of adaptive wavelet methods for
systems of operator equations. Its main accomplishment is to extend the range of …

We propose stable variational formulations for certain linear, unsymmetric operators with first
order transport equations in bounded domains serving as the primary focus of this paper …

Abstract In [Math. Comp, 70 (2001), 27–75] and [Found. Comput. Math., 2 (3)(2002), 203–
245], Cohen, Dahmen and DeVore introduced adaptive wavelet methods for solving …

In this paper we propose and analyze stable variational formulations for convection diffusion
problems starting from concepts introduced by Sangalli. We derive efficient and reliable a …

In" Adaptive wavelet methods II---Beyond the elliptic case" of Cohen, Dahmen, and DeVore
[Found. Comput. Math., 2 (2002), pp. 203--245], an adaptive method has been developed for …

A characteristic feature of the state‐of‐the‐art of real‐space methods in electronic structure
calculations is the diversity of the techniques used in the discretization of the relevant partial …

This paper is concerned with the development of adaptive numerical methods for elliptic
operator equations. We are especially interested in discretization schemes based on frames …

We develop and analyze wavelet based adaptive schemes for nonlinear variational
problems. We derive estimates for convergence rates and corresponding work counts that …

We present a unified approach in analyzing Uzawa iterative algorithms for saddle point
problems. We study the classical Uzawa method, the augmented Lagrangian method, and …