Gradient WEB-spline finite element method for solving two-dimensional quasilinear elliptic problems

• Published in: Applied mathematical modelling Vol. 38; no. 2; pp. 775 - 783
• Main Authors: Zakeri, Ali, Shayegan, Amir Hossein Salehi
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.01.2014
• Subjects: Approximation; Convergence; Finite element method; Mathematical analysis; Mathematical models; Preconditioning operator; Quasilinear elliptic boundary value problems; Sobolev space; Sobolev space gradient method; Two dimensional; WEB-spline finite element method; WEB-spline finite element method; Preconditioning operator; Quasilinear elliptic boundary value problems; Sobolev space gradient method

In this paper, a two-dimensional quasilinear elliptic problem of the form -divF(x,▽u)=g(x) is considered. This problem is ill-conditioned and we therefore propose a modified iterative algorithm based on coupling of the Sobolev space gradient method and WEB-spline finite element method. Applying the...