A Fortran Implementation of Isogeometric Analysis with Superiority in Convergence and Accuracy

Efficiency has been sacrificed in existing tools for the implementation of new Isogeometric Analysis (IGA) methods. As widely applied in the fields of science and engineering calculation, Fortran with inherent superiority in easy accessibility and computational efficiency is intended to optimize the issue. The Fortran programming in this paper mainly based on Non-Uniform Rational B-Splines (NURBS) is implemented in modularization, while being flexible to be transplanted, modified and extended. Two Kirchhoff-Love shell examples with small deformation are given in order to verify the accuracy of the implementation in comparison with the theoretical solutions and the efficiency which is tested in contrast to a Matlab software used for IGA.