Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems. Issue 5 (22nd January 2021)

• Record Type: Journal Article
• Authors: Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Heitzinger, Clemens
• Is Part Of: Numerical methods for partial differential equations. Volume 38:Issue 5(2022)
• Page Start: 1271
• Page End: 1292
• Publication Date: 2021-01-22
• Subjects: complex computational domains -- generalized moving least squares approximation -- jump boundary conditions -- stochastic elliptic interface problems -- thin film elliptic interface problem; Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.22742
• Languages: English
• ISSNs: 0749-159X

Abstract

Abstract: A truly meshless numerical procedure to simulate stochastic elliptic interface problems is developed. The meshless method is based on the generalized moving least squares approximation. This method can be implemented in a straightforward manner and has a very good accuracy for solving this kind of problems. Several realistic examples are presented to investigate the efficiency of the new procedure. Furthermore, compared with other meshless methods that have been developed, the present technique needs less CPU time.