Week 1. - NURBS and grid generation. - Coping with degeneracies in Delaunay triangulation. - Geometric approaches to mesh generation. - Refining quadrilateral and brick element meshes. - Automatic meshing of curved threedimensional domains: Curving finite elements and curvature-based mesh control. - Week 2. - Optimization of tetrahedral meshes. - A class of error estimators based on interpolating the finite element solutions for reaction-diffusion equations. - Accuracy-based time step criteria for solving parabolic equations. - Week 3. - Adaptive domain decomposition methods for advection-diffusion problems. - LP-posteriori error analysis of mixed methods for linear and quasilinear elliptic problems. - A characteristic-Galerkin method for the Navier-Stokes equations in thin domains with free boundaries. - Parallel partitioning strategies for the adaptive solution of conservation laws. - Adaptive multi-grid method for a periodic heterogeneous medium in 1 ? D. - A knowledge-based approach to the adaptive finite element analysis. - An asymptotically exact pointwise a posteriori error estimator for the finite element method with super convergence properties. - A mesh-adaptive collocation technique for the simulation of advection-dominated single- and multiphase transport phenomena in porous media. - Three-step H-P adaptive strategy for the incompressible Navier-Stokes equations. - Applications of automatic mesh generation and adaptive methods in computational medicine. - Solution of elastic-plastic stress analysis problems by the p-version of the finite element method. - Adaptive finite volume methods for time-dependent P. D. E. S. - Superconvergence of the derivative patch recovery technique and a posteriori error estimation. Language: English