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Computing with hp-ADAPTIVE FINITE ELEMENTS - Volume 1 One and Two Dimensional Elliptic and Maxwell Problems (Hardcover)
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Computing with hp-ADAPTIVE FINITE ELEMENTS - Volume 1 One and Two Dimensional Elliptic and Maxwell Problems (Hardcover)
Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Expected to ship within 12 - 17 working days
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Offering the only existing finite element (FE) codes for Maxwell
equations that support hp refinements on irregular meshes,
Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume 1. One- and
Two-Dimensional Elliptic and Maxwell Problems presents 1D and 2D
codes and automatic hp adaptivity. This self-contained source
discusses the theory and implementation of hp-adaptive FE methods,
focusing on projection-based interpolation and the corresponding
hp-adaptive strategy. The book is split into three parts,
progressing from simple to more advanced problems. Part I examines
the hp elements for the standard 1D model elliptic problem. The
author develops the variational formulation and explains the
construction of FE basis functions. The book then introduces the 1D
code (1Dhp) and automatic hp adaptivity. This first part ends with
a study of a 1D wave propagation problem. In Part II, the book
proceeds to 2D elliptic problems, discussing two model problems
that are slightly beyond standard-level examples: 3D axisymmetric
antenna problem for Maxwell equations (example of a complex-valued,
indefinite problem) and 2D elasticity (example of an elliptic
system). The author concludes with a presentation on infinite
elements - one of the possible tools to solve exterior
boundary-value problems. Part III focuses on 2D time-harmonic
Maxwell equations. The book explains the construction of the hp
edge elements and the fundamental de Rham diagram for the whole
family of hp discretizations. Next, it explores the differences
between the elliptic and Maxwell versions of the 2D code, including
automatic hp adaptivity. Finally, the book presents 2D exterior
(radiation and scattering) problems and sample solutionsusing
coupled hp finite/infinite elements. In Computing with hp-ADAPTIVE
FINITE ELEMENTS, the information provided, including many
unpublished details, aids in solving elliptic and Maxwell problems.
General
Imprint: |
Chapman & Hall/CRC
|
Country of origin: |
United States |
Series: |
Chapman & Hall/CRC Applied Mathematics & Nonlinear Science |
Release date: |
October 2006 |
First published: |
September 2006 |
Authors: |
Leszek Demkowicz
|
Dimensions: |
234 x 156 x 28mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
398 |
ISBN-13: |
978-1-58488-671-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Applied mathematics >
General
|
LSN: |
1-58488-671-4 |
Barcode: |
9781584886716 |
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