WEB-Spline-based mesh-free finite element approximation for p-Laplacian. Issue 6 (2nd June 2016)

• Record Type: Journal Article
• Authors: Chaudhary, Sudhakar; Srivastava, Vimal; Kumar, V.V.K Srinivas; Srinivasan, Balaji
• Is Part Of: International journal of computer mathematics. Volume 93:Issue 6(2016)
• Page Start: 1022
• Page End: 1043
• Publication Date: 2016-06-02
• Subjects: meshless method -- WEB-Spline -- inf-Sup Condition -- p-Laplacian; 65N12 -- 65N15 -- 65N22 -- 65N30; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2015.1016923
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, we discuss the approximation of p -Laplace problem using WEB-Spline based mesh free finite elements. Along with usual weak formulation, we also consider the mixed formulation of the p -Laplace problem. We give existence, uniqueness results for both continuous and discrete problems. We also provide a priori error estimates for both the formulations.