hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics #1796) [9783540442011]

Overview

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

The book, hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics #1796) [Bulk, Wholesale, Quantity] ISBN#9783540442011 in Paperback by Jens M. Melenk may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.