Computing with hp-ADAPTIVE FINITE ELEMENTS: Volume II Frontiers: Three Dimensional Elliptic and Maxwell Problems with ApplicationsWith 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 |
Contents
| 3 | |
Chapter 2 Exact hp Sequences ProjectionBased Interpolation De Rham Diagrams | 25 |
Chapter 3 3D hp Finite Element Method | 61 |
Chapter 4 3Dhp Code | 81 |
Chapter 5 Geometry Modeling | 91 |
Chapter 6 Automatic hpAdaptivity in Three Space Dimensions | 105 |
Chapter 7 HighPerformance Computation | 135 |
Chapter 8 TwoGrid hp Solver | 153 |
Chapter 11 Electromagnetic Scattering Problems | 237 |
Chapter 12 ThreeDimensional Elasticity and ThinWalled Sturctures | 307 |
Chapter 13 Simulation of Resistivity Logging Devices | 337 |
Chapter 14 Conclusions and Future Work | 371 |
Curvilinear Systems of Coordinates | 375 |
Perfectly Matched Layer Formulations | 383 |
References | 393 |
| 403 | |
Chapter 9 A Domain Decomposition Based Parallel Implementation | 187 |
Applications | 219 |
Chapter 10 Acoustic Scattering Problems | 221 |
Back cover | 418 |
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Common terms and phrases
acoustic algorithm basis functions boundary conditions cavity cm Inv coarse grid component Computing with hp-ADAPTIVE convergence coordinates corresponding cylindrical data structure defined Demkowicz denote Dirichlet Dirichlet boundary conditions domain edge Einc electromagnetic energy norm Equation error estimate error reduction exact face final finite element method formulation Geo(x geometry global goal-oriented h-refinements H(curl H(curl)-conforming hexahedron hp-ADAPTIVE FINITE ELEMENTS implementation infinite initial mesh element interface interpolation iterations Krylov subspace Laterolog layer linear logging instruments Maxwell equations mid-edge node mid-face node middle node ndof node constrained obtain optimal order of approximation parametrization polynomial polynomial order polynomial sequences processors quantity of interest refinement flag relative error Schur complement Section sequence shape functions shell simulations smoother space stiffness matrix Subdomain subspace surface symmetric tangential component two-grid solver Unif vector vertex node vertical water invasion ди ᎧᎾ