Dual extremum principles (DEP), based on Arthurs’ canonical approach, are applied to solve a class of electrostatic field interface problems. To illustrate the formulation, a rectangular metal tank, half-filled with petroleum products, is considered. The electrostatic potential and field distributions inside the petroleum tank are calculated using the dual finite element method, the method of Kantoro-vich and Ritz procedure. The bounds for the system energy are computed through the dual finite element method. © 1989 Taylor & Francis Group, LLC.

C. Dattatreyan

Mathematical Techniques--Finite Element Method

ARTHUR'S CANONICAL APPROACH

DUAL EXTREMUM PRINCIPLES (DEP)

ELECTROSTATIC FIELD INTERFACE PROBLEMS

KANTOROVICH METHOD

MAXIMIZATION

Minimization

Electric fields

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IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

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IIT Madras

Dual extremum principles for a class of electrostatic field interface problems

International Journal of Electronics

An elevated coupled coplanar waveguide is proposed and analyzed with a view to exploit the advantage of miniaturization that is possible with elevated coplanar waveguide structures. The influence of elevation on the directional characteristics of the elevated coupled coplanar waveguide has also been studied. The proposed structure is analyzed using a modified universal matrices finite element method. © 1996 John Wiley & Sons, Inc.

International Journal of RF and Microwave Computer-Aided Engineering

Analysis of a shielded elevated coupled coplanar waveguide using a modified finite element method

Dual extremum principles have been used previously to obtain error bounds for a wide class of boundary value problems. Here the dual extremum principles are formulated associated with the set of operator equations of the form L//j// phi //j equals T//j*k//jT//j// phi //j equals f//j(// phi //j) in D//j, j equals 1,2, with the boundary conditions// phi //j equals alpha //j equals alpha //j on GAMMA //j equals PARTIAL D//j minus GAMMA , j equals 1,2, and the interface matching conditions sigma //1(// phi //2 minus // phi //1 minus g) equals 0 on GAMMA , sigma //1*k//1T//1// phi //1 minus sigma //2*k//2T//2// phi //2 equals h(x,y) on GAMMA .

Fulltext

Quarterly of Applied Mathematics

DUAL EXTREMUM PRINCIPLES FOR A CLASS OF INTERFACE PROBLEMS.

An algorithm to generate universal matrices for plane triangular finite elements for the general ‘quasi‐harmonic’ equation is presented. For every member of the triangle family three numerical universal matrices are obtained which are independent of the size, shape and ‘material’ properties of the element. Of these, two are basic and the third can be generated from one of these two. The element ‘stiffness’ matrix is conveniently generated by manipulating these two basic matrices taking into account the size, shape and material properties of the element in a simple manner. Copyright © 1983 John Wiley & Sons, Ltd

International Journal for Numerical Methods in Engineering

A note on universal matrices for triangular finite elements for the quasi‐harmonic equation

Finite Elements for Electrical Engineers

IEEE Transactions on Magnetics

Complementary and dual energy finite element principles in magnetostatics

The Shock and Vibration Digest

Book Reviews : The Finite Element Method (Revised): O.C. Zienkiewicz McGraw-Hill Book Co., New York, New York

Journal	International Journal of Electronics
ISSN	00207217
Open Access	No