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IJSTR >> Volume 8 - Issue 10, October 2019 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Existence And Uniqueness Of The Adjoint Function For Degree-One Approximation: Dasgupta’s Approach

[Full Text]



Rishabh Tiwari, P. L. Powar



Finite Element, Quadrilateral Discretization, Rational Form, Adjoint, athematica



Dasgupta, proposed a method to construct the wedge functions over an element of polygonal discretization of the domain using an analytic approach to determine the denominator of rational wedge function, whereas Wachpress had applied the geometric approach for the same task. We have extended the idea described by Dasgupta and established the conditions, mandatory for the existence and uniqueness of the denominator and consequently the wedge functions in case of the quadrilateral discretization of the domain. A more general form of the linear functions, representing sides of the quadrilateral has been considered, which eradicates restriction on the sides for not passing through the origin. This paper has been furnished with a Mathematica program which computes all the required parameters and finally approximation over the element under consideration.



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