Offering the only existing finite element (FE) codes for Maxwell equations that support hp
refinements on irregular meshes, Computing with hp-ADAPTIVE FINITE ELEMENTS …

Adaptive Finite Element Methods for numerically solving elliptic equations are used often in
practice. Only recently [12],[17] have these methods been shown to converge. However, this …

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 …

Data sets are often modeled as samples from a probability distribution in RD, for D large. It is
often assumed that the data has some interesting low-dimensional structure, for example …

The origins of wavelets go back to the beginning of the last century and wavelet methods are
by now a well-known tool in image processing (jpeg2000). These functions have, however …

This paper is concerned with the construction and analysis of a universal estimator for the
regression problem in supervised learning. Universal means that the estimator does not …

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

The convergence and optimality of adaptive mixed finite element methods for the Poisson
equation are established in this paper. The main difficulty for mixed finite element methods is …

Mixed finite element methods with flux errors in H(div)-norms and div-least-squares finite
element methods require a separate marking strategy in obligatory adaptive mesh-refining …

Motivated by conforming finite element methods for elliptic problems of second order, we
analyze the approximation of the gradient of a target function by continuous piecewise …