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Computing with hp-ADAPTIVE FINITE ELEMENTS
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Computing with hp-ADAPTIVE FINITE ELEMENTS : Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications

Book Details

Format Hardback or Cased Book
ISBN-10 1584886722
ISBN-13 9781584886723
Publisher Taylor & Francis Inc
Imprint Chapman & Hall/CRC
Country of Manufacture US
Country of Publication GB
Publication Date Nov 2nd, 2007
Print length 435 Pages
Weight 793 grams
Product Classification: Mathematical theory of computation
Ksh 36,000.00
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Presents the theoretical foundations of the 3D hp algorithm and provides numerical results using the 3Dhp code. Focusing on the 3D theory of hp methods as well as coding issues, this book also presents the 3D version of the automatic hp-adaptivity package, and a two-grid solver for highly anisotropic hp meshes and goal-oriented Krylov iterations.
With a focus on 1D and 2D problems, the first volume of Computing with hp-ADAPTIVE FINITE ELEMENTS prepared readers for the concepts and logic governing 3D code and implementation. Taking the next step in hp technology, Volume II Frontiers: Three-Dimensional Elliptic and Maxwell Problems with Applications presents the theoretical foundations of the 3D hp algorithm and provides numerical results using the 3Dhp code developed by the authors and their colleagues.

The first part of the book focuses on fundamentals of the 3D theory of hp methods as well as issues that arise when the code is implemented. After a review of boundary-value problems, the book examines exact hp sequences, projection-based interpolation, and De Rham diagrams. It also presents the 3D version of the automatic hp-adaptivity package, a two-grid solver for highly anisotropic hp meshes and goal-oriented Krylov iterations, and a parallel implementation of the 3D code.

The second part explores several recent projects in which the 3Dhp code was used and illustrates how these applications have greatly driven the development of 3D hp technology. It encompasses acoustic and electromagnetic (EM) scattering problems, an analysis of complex structures with thin-walled components, and challenging simulations of logging tools. The book concludes with a look at the future of hp methods.

Spearheaded by a key developer of this technology with more than 20 years of research in the field, this self-contained, comprehensive resource will help readers overcome the difficulties in coding hp-adaptive elements.

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