Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments
Proceedings of the 2006 conference on Leading the Web in Concurrent Engineering: Next Generation Concurrent Engineering
A Graph Grammar Model of the hp Adaptive Three Dimensional Finite Element Method. Part I
Fundamenta Informaticae
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The paper presents calculations for the radiation of a loop antenna wrapped around a metallic cylinder into a conductive medium. The problem has been solved analytically by using Fourier transform and Bessel functions. The analytical solution has been used to verify a goal-oriented hp adaptive strategy based on a simultaneous solution of a dual problem, and an hp strategy based on minimizing the projection-based interpolation error of a reference solution.