This book presents the theoretical foundations of the 3D hp algorithm and provides numerical results using the 3Dhp code developed by the authors and their colleagues. Focusing on the 3D theory of hp methods as well as coding issues, the first part 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 applications in which the 3Dhp code was used, including acoustic and electromagnetic scattering problems, thin-walled structures, and challenging simulations of logging tools.
Autorentext
Leszek Demkowicz, Jason Kurtz, David Pardo, Maciek Paszenski, Waldemar Rachowicz, Adam Zdunek
Zusammenfassung
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
Inhalt
Preface. Boundary-Value Problems. Exact hp Sequences, Projection-Based Interpolation, De Rham Diagrams. 3D hp Finite Element Method. 3Dhp Code. Geometry Modeling. Automatic hp Adaptivity in Three Space Dimensions. High-Performance Computation. Two-Grid hp Solver. A Domain Decomposition-Based Parallel Implementation. Acoustic Scattering Problems. Electromagnetic Scattering Problems. 3D Elasticity and Thin-Walled Structures. Simulation of Resistivity Logging Devices. Conclusions and Future Work. Appendices. References. Index.