{"product_id":"hp-finite-element-methods-for-singular-perturbations-von-jens-m-melenk","title":"hp-Finite Element Methods for Singular Perturbations","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.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540442011\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540442011","offer_id":39425912176733,"sku":"9783540442011","price":53.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/cec92070-695b-4edc-a7bd-9e8fadb24beb.jpg?v=1772085662","url":"https:\/\/shop.autorenwelt.de\/products\/hp-finite-element-methods-for-singular-perturbations-von-jens-m-melenk","provider":"Autorenwelt Shop","version":"1.0","type":"link"}