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Locally Implicit Discontinuous Galerkin Finite Element Method for Transient Analysis of 3D Layered Structures with Electrically Small Details
Author(s) -
Chen, Jiefu,
Tobon, Luis,
Huo Liu Qing
Publication year - 2013
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.27673
Subject(s) - finite element method , discretization , discontinuous galerkin method , galerkin method , transient (computer programming) , block (permutation group theory) , mathematics , diagonal , mathematical analysis , time stepping , algorithm , computer science , geometry , structural engineering , engineering , operating system
An efficient locally implicit discontinuous Galerkin finite element method is proposed for time domain analysis of 3D layered problems. The vector mixed finite elements with discontinuous Galerkin method are employed for spatial discretization, and the singly diagonally implicit Runge–Kutta scheme is used for time stepping. The block Thomas algorithm is utilized during time integration to eliminate the subdomain‐based iteration. Numerical examples demonstrate the proposed method is efficient in simulating 3D layered structures containing electrically small components. © 2013 Wiley Periodicals, Inc. Microwave Opt Technol Lett 55:1912–1916, 2013