Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Inhaltsverzeichnis

• 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 three—dimensional 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.