3 papers
math.NA2019
Geometry Mapping, Complete Pascal Scheme versus Standard Bilinear Approach
Sulaiman Y. Abo Diab
This paper presents a complete Pascal interpolation scheme for use in the plane geometry mapping applied in association with numerical methods. The geometry of a domain element is…
math.NA2017
Complete Pascal Interpolation Scheme For Approximating The Geometry Of A Quadrilateral Element
Sulaiman Y. Abo Diab
This paper applies a complete parametric set for approximating the geometry of a quadrilateral element. The approximation basis used is a complete Pascal polynomial of second order…
cs.CE2017
Generalization of a reduced Trefftz type approach
Sulaiman Abo Diab
Summary This work presents variational concepts associated with reduced Trefftz type approaches and discusses the interrelationship between various concepts of the displacement, hy…