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Module 3 : I-D Elements, Basis Functions and Shape Functions, Convergence Criteria, h and p Approximation

Lecture 10

	h and p Versions of Finite Element Method A finite element method, in which the accuracy of the approximate solution is increased by decreasing the mesh size h while keeping the order p of the approximation constant, is called as the h variation of the finite element method. On the other hand, the finite element method, in which the accuracy of the approximate solution is improved by increasing the order p of the approximation while keeping the mesh size h fixed, is called as the p -version of the finite element method. In p -version of the finite element method, the rate of convergence of the finite element solution to the exact solution is exponential.