{"product_id":"hp-finite-element-methods-for-singular-perturbations-9783540442011","title":"Hp-Finite Element Methods for Singular Perturbations","description":"\u003cp\u003e • Author(s): Jens M. Melenk\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Differential Equations - Partial\u003c\/p\u003e\u003cp\u003eMany 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":46897651875991,"sku":"9783540442011","price":5743.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783540442011.webp?v=1770363832","url":"https:\/\/atlanticbooks.com\/products\/hp-finite-element-methods-for-singular-perturbations-9783540442011","provider":"Atlantic Books","version":"1.0","type":"link"}