DocumentCode
1371513
Title
Existence of 
-Matrix Representations of the Inverse Finite-Element Matrix of Electrodynamic Problems and  memory complexity and <i>O</i> (<i>k</i><sup>2</sup><i>N</i>log<sup>2</sup><i>N</i>) time complexity for solving electromagnetic problems, where <i>k</i> is a small parameter that is adaptively determined based on accuracy requirements, and <i>N</i> is the number of unknowns. Both inverse-based and LU-based direct solutions are developed. The LU-based solution is further accelerated by nested dissection. A comparison with the state-of-the-art direct finite element solver that employs the most advanced sparse matrix solution has shown clear advantages of the proposed direct solver. In addition, the proposed solver is applicable to arbitrarily-shaped three-dimensional structures and arbitrary inhomogeneity.</div></div>
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<div class='row g-0 align-items-center mb-2'><div class='col-12 col-md-3 fullRecLabelEnglish fw-bold mb-2 mb-md-0'><span class='text-muted small'>Keywords</span></div><div class='col-12 col-md-9 leftDirection leftAlign'>communication complexity; computational electromagnetics; electrodynamics; finite element analysis; partial differential equations; sparse matrices; H-based fast direct finite element solvers; H-matrix approximation; H-matrix representation; LU-based solution; arbitrarily shaped three dimensional structures; arbitrary inhomogeneity; eigenvalue based solution; electrodynamic problem; electromagnetic problem; finite element based analysis; integral operator; inverse finite element matrix; matrix based direct finite element solver; memory complexity; ordinary differential equation; partial differential operator; sparse matrix; time complexity; Accuracy; Complexity theory; Eigenvalues and eigenfunctions; Electrodynamics; Electromagnetics; Finite element methods; Sparse matrices; <formula formulatype=)
${cal H}$ matrix; direct solution; electromagnetic analysis; fast solvers; finite element methods; nested dissection;
fLanguage
English
Journal_Title
Microwave Theory and Techniques, IEEE Transactions on
Publisher
ieee
ISSN
0018-9480
Type
jour
DOI
10.1109/TMTT.2010.2086532
Filename
5623327
Link To Document