Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4644854 | Applied Numerical Mathematics | 2016 | 14 Pages |
Abstract
In this article, a class of second order parabolic initial-boundary value problems in the framework of primal hybrid principle is discussed. The interelement continuity requirement for standard finite element method has been alleviated by using primal hybrid method. Finite elements are constructed and used in spatial direction, and backward Euler scheme is used in temporal direction for solving fully discrete scheme. Optimal order estimates for both the semidiscrete and fully discrete method are derived with the help of modified projection operator. Numerical results are obtained in order to verify the theoretical analysis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Sanjib Kumar Acharya, Ajit Patel,