The Problem of Selecting the Shape Functions for a p-Type Finite Element
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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The paper addresses the question of the optimal selection of the shape functions for p-type finite elements and discusses the effectivity of the conjugate gradient and multilevel iteration method for solving the corresponding linear system. The selection of the shape functions is of major importance for the performance of the solver based on iterative methods. Neither the theory nor practice of the optimal selection of the shape functions is available yet. We have seen that the condensation approach which has obvious advantages from the point of parallel computations is a very effective tool for keeping the condition number under the control and is especially advantageous for the conjugate gradient method.
- Numerical Mathematics