Computing with hp-ADAPTIVE FINITE ELEMENTS

- Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications (Volume 2: Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications)

af

indgår i serie Chapman & Hall/CRC Applied Mathematics & Nonlinear Science


Computing with hp-ADAPTIVE FINITE ELEMENTS
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Format:
Bog, hardback
Udgivelsesdato:
02-11-2007
Sprog:
Engelsk
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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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Udgivelsesdato:
02-11-2007
ISBN13:
9781584886723
Vægt:
794 g
Dybde:
25 mm
Bredde:
159 mm
Højde:
235 mm
Format:
Hardback
Bibliotekernes beskrivelse 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. 533 equations; 7 Tables, black and white; 250 Illustrations, black and white Contains 12 Hardbacks

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