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{ "item_title" : "Hp-Finite Element Methods for Singular Perturbations", "item_author" : [" Jens M. Melenk "], "item_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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/3/54/044/201/3540442014_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Hp-Finite Element Methods for Singular Perturbations|Jens M. Melenk

Hp-Finite Element Methods for Singular Perturbations

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Overview

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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Details

  • ISBN-13: 9783540442011
  • ISBN-10: 3540442014
  • Publisher: Springer
  • Publish Date: October 2002
  • Dimensions: 9.3 x 6.2 x 0.75 inches
  • Shipping Weight: 1.2 pounds
  • Page Count: 326

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