hp-Finite Element Methods for Singular Perturbations PDF
by Jens M. Melenk
Part of the Lecture Notes in Mathematics series
Description
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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:19/10/2004
- Category:
- ISBN:9783540457817
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:19/10/2004
- Category:
- ISBN:9783540457817
