Isogeometric Analysis Method for Solving Parabolic PDEs by Using Bivariate Spline

Abstract

In this paper, we study isogeometric analysis method for solving parabolic Pdes by using bivariate spline finite elements on domains defined by NURBS. We constructed bivariate spline proper subspace of ( ) 2,3 (2) 4 mn S ï„ which satisfies homogeneous boundary conditions on type-2 triangulations and quadratic B-spline interpolating boundary functions. A numerical test is solved to assess the accuracy of this method.