hp-Finite Element Methods for Singular Perturbations [electronic resource] /

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.

Bibliographic Details

Main Authors:	Melenk, Jens M. author., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002
Subjects:	Mathematics., Mathematical analysis., Analysis (Mathematics)., Global analysis (Mathematics)., Manifolds (Mathematics)., Partial differential equations., Numerical analysis., Applied mathematics., Engineering mathematics., Mechanical engineering., Analysis., Appl.Mathematics/Computational Methods of Engineering., Mechanical Engineering., Numerical Analysis., Global Analysis and Analysis on Manifolds., Partial Differential Equations.,
Online Access:	http://dx.doi.org/10.1007/b84212
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