A posteriori error estimators are derived for linear finite element approximations to elliptic obstacle problems. These estimators yield global upper and local lower bounds for the discretizationâ€¦ (More)

This is a survey on the theory of adaptive finite element methods (AFEM), which are fundamental in modern computational science and engineering. We present a self-contained and up-to-date discussionâ€¦ (More)

For the linear finite element solution to a linear elliptic model problem, we derive an error estimator based upon appropriate gradient recovery by local averaging. In contrast to popular variantsâ€¦ (More)

The numerical solution of the homogeneous Dirichlet problem for the p-Laplacian, p âˆˆ ]1,âˆž[, is considered. We propose an adaptive algorithm with continuous piecewise affine finite elements and proveâ€¦ (More)

We introduce a novel method of lateral callus distraction for bone formation, which avoids the conventional splitting and weakening of bones. At the medial aspect of the sheep tibia the periosteumâ€¦ (More)

We present two approaches to the a posteriori error analysis for prescribed mean curvature equations. The main difference between them concerns the estimation of the residual: without or withâ€¦ (More)

The dual weighted residual (DWR) method yields reliable a posteriori error bounds for linear output functionals provided that the error incurred by the numerical approximation of the dual solution isâ€¦ (More)

The effects of the herbicide atrazine (2-Chlor-4-ethyl-amino-6-isopropyl-amino-s-triazine) on the kidney of rainbow trout (Oncorhynchus mykiss) were studied by exposing them to sublethalâ€¦ (More)