Primal hybrid finite element method for fourth order parabolic problems

Abstract

In this article, we discuss a primal hybrid finite element method for a fourth order parabolic initial-boundary value problem. The interelement continuity requirement has been alleviated using Lagrange multipliers on the interelement boundaries. Primal hybrid finite elements are constructed and used in spatial direction and Crank-Nicolson scheme is used in the temporal direction for solving complete discrete scheme. Optimal order estimates for both semidiscrete and complete discrete scheme are derived with the help of a non-orthogonal projection operator. Numerical results are presented in order to validate the theoretical findings.