The Finite Element Method in Electromagnetics by Jin Jianming

Author:Jin, Jianming
Language: eng
Format: epub
ISBN: 9781118841983
Publisher: Wiley
Published: 2014-03-29T16:00:00+00:00

and the functional corresponding to (10.177) can be written as

10.6 SOLUTION OF THE FINITE ELEMENT–BOUNDARY INTEGRAL SYSTEM

In this section we discuss some solution techniques for the system of equations obtained using the FE–BI formulation as well as a highly effective preconditioner for a fast iterative solution.

10.6.1 Outward- versus Inward-Looking Approach

A typical FE–BI system, no matter whether in two or three dimensions, consists of two sets of equations: One results from the finite element discretization, which can be written as

(10.194)

and the other results from the boundary integral discretization, which can be written as

(10.195)

The matrices and vectors appearing in these two equations are described as follows:

[K] N × N square matrix, symmetric and sparse

[B] N × Ns rectangular matrix, sparse

[P] Ns × N rectangular matrix, having N2s nonzero elements

[Q] Ns × Ns square matrix, fully populated

{ϕ} N × 1 column vector, unknown

{} Ns × 1 column vector, unknown

{b} Ns × 1 column vector, known,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.