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

G. Subramanian

C. Jeyachandra Bose

QUASI-HARMONIC EQUATION

UNIVERSAL MATRICES

Mathematical techniques

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

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

International Journal for Numerical Methods in Engineering

A new approach to developing serendipity quadrilateral infinite elements is presented. Using these elements universal matrices for quasiharmonic equation are developed. For a particular member of the family these matrices are independent of the size and shape of the element. Using these matrices the element stiffness matrix can be generated in a simpler manner by taking into account the size and shape of the element. Copyright © 1994 John Wiley & Sons, Ltd

Communications in Numerical Methods in Engineering

Universal matrices with new infinite elements for quasiharmonic equation

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.

International Journal of Electronics

Dual extremum principles for a class of electrostatic field interface problems

It is shown that in the finite-element formulation of the general quasi-harmonic equation using tetrahedral elements, for every member of the element family there exists just one numerical universal matrix indpendent of the size, shape and material properties of the element. Thus the element matrix is conveniently constructed by manipulating this single matrix along with a set of reverse sequence codes at the same time accounting for the size, shape and material properties in a simple manner. © 1987.

Computers and Structures

Convenient construction of tetrahedral finite elements for the quasi-harmonic equation

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.

Journal	International Journal for Numerical Methods in Engineering
ISSN	00295981
Open Access	No