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.
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