The Convergence Of Infinite Element Method For The Non-Similar Case
Lung-An Ying 11 Department of Mathematics, Peking University, China
Received 1982-9-7 Revised Online 2006-11-16
We have considered the infinite element method for a class of elliptic systems with constant coeffcients in . this class can be characterized as : they have the invariance under similarity transformaations of independent variables. for example the laplace equation and the system of plane elastic equations have this property. we have suggested a technique to solve these problem by applying this property and a self similar discretization, and proved the convergence, not only the average convergence of the solutions has been discussed, but also term-by-term convergence for the expansions of the solutions, the second convergence manifests the advantage of the infinite element method, that is, the local singularity of the solutions can be calculated with high precision.