Treatment of Nonhomogeneous Dirichlet Boundary Conditions by the p-Version of the Finite Element Method

摘要

A recent addition to the field of finite element analysis has been the development of the p and h-p versions of the finite element method. For two-dimensional problems the p and h-p versions have been implemented in the commercial system PROBE by Noetic Tech., St. Louis with a first release in 1985 and the second in 1986. The three-dimensional commercial finite element code FIESTA having some p-version capabilities had been developed at ISMES (Institute Sperimentali Modelli e Structture) in Bergamo, Italy, and has been available since 1980 in the United States. An implementation of the three-dimensional p and h-p versions for the Cray computers is presently being done at the Aeronautical Research Institute of Sweden and by Noetic Tech. The paper addresses the problem of the implementation of nonhomogeneous essential Dirichlet type boundary conditions in the p-version of the finite element method.