Download Multigrid Finite Element Methods for Electromagnetic Field by Yu Zhu PDF
By Yu Zhu
This is often the 1st complete monograph that includes cutting-edge multigrid equipment for boosting the modeling versatility, numerical robustness, and computational potency of 1 of the preferred periods of numerical electromagnetic box modeling tools: the tactic of finite components. the point of interest of the book is the advance of sturdy preconditioners for the iterative resolution of electromagnetic box boundary price difficulties (BVPs) discretized via finite tools. particularly, the authors set forth their very own profitable makes an attempt to make use of ideas from multigrid and multilevel tools for the potent preconditioning of matrices due to the approximation of electromagnetic BVPs utilizing finite tools. Following the authors' cautious reasons and step by step guide, readers can replica the authors' effects and make the most of ultra-modern state of the art multigrid/multilevel preconditioners for finite element-based iterative electromagnetic box solvers. one of the highlights of assurance are: * program of multigrid, multilevel, and hybrid multigrid/multilevel preconditioners to electromagnetic scattering and radiation difficulties * Broadband, powerful numerical modeling of passive microwave elements and circuits * strong, finite element-based modal research of electromagnetic waveguides and cavities * program of Krylov subspace-based methodologies for reduced-order macromodeling of electromagnetic units and structures * Finite point modeling of electromagnetic waves in periodic buildings The authors supply greater than thirty certain algorithms along pseudo-codes to help readers with functional computing device implementation. additionally, each one bankruptcy comprises an purposes part with priceless numerical examples that validate the authors' methodologies and display their computational potency and robustness. This groundbreaking booklet, with its assurance of an exhilarating new allowing computer-aided layout know-how, is an important reference for computing device programmers, designers, and engineers, in addition to graduate scholars in engineering and utilized physics.
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Extra info for Multigrid Finite Element Methods for Electromagnetic Field Modeling
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K. E. Garcia-Castillo, T. Roy, and A. DjordjeviC. Iterative and Self Adaptive Finite-Elements in Electromagnetic Modeling, Norwood, MA: Artech House, 1998. 7. C. A. , 1992. 8. R. F. Harrington, Time-HarmonicElectromagnetic Field, New York: McGraw-Hill, 1961. 9. J. Van Blade], Electromagnetic FieMs. New York Hemisphere Publishing Corporation, 1985. 10. J. R. Wait, Geo-Electromagnetism,New York: Academic Press, 1982. 11. R. E. Collin, Field Theory of Guided Waves, Piscataway, NJ: IEEE Press, 1991.
C. N. -F. Lee, “Domain decomposition method for large finite antenna arrays:’ Proc. IEEE Antennas and Propagation Society Symposium, vol. 4, pp. 3501 - 3504, Monterey, CA, Jun. 2004. Multigrid Finite Element Methods f o r Electromagnetic Field Modeling by Yu Zhu and Andreas C. Cangellaris Copyright I 2006 Institute of Electrical and Electronics Engineers. CHAPTER 2 HIERARCHICAL BASIS FUNCTIONS FOR TRIANGLES AND TETRAHEDRA The objective of the finite element method is to obtain an approximate solution to the boundary value problem of interest.
The generated solutions for all sub-domains must be made consistent with each other through the enforcement of the appropriate field continuity conditions at the sub-domain interfaces. , [ 161[ 191 ). In the context of linear system analysis, one can view the sub-domain models as multi-port networks, the port variables of which are the shared degrees of freedom between sub-domain models. In this context, one can consider the modeling of each individual N 12 INTRODUCTION sub-domain as a process for generating the transferfunction matrix for the sub-domain.