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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Hp-Finite Element Methods for Singular Perturbations

Hp-Finite Element Methods for Singular Perturbations

Melenk, Jens M.

Paperback

Series: Lecture Notes in Mathematics, Book 1796

General Mathematics

ISBN10: 3540442014
ISBN13: 9783540442011
Publisher: Springer Nature
Published: Oct 10 2002
Pages: 326
Weight: 1.20
Height: 0.75 Width: 6.20 Depth: 9.30
Language: English
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.

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