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.
Acknowledgments
The authors acknowledge anonymous reviewers for many helpful suggestions and comments. Also, the authors would like to thank Prof. Klaus Hllig for his help and suggestions during implementation to WEB-Spline method for p-Laplace problem.
Disclosure statement
No potential conflict of interest was reported by the authors.