%0 Journal Article
%T A DIRECT METHOD FOR SOLVING THE DISCRETE MIXED FINITE ELEMENT EQUATIONS OF THE BIHARMONIC PROBLEM<br>解重调和问题混合有限元方程的直接方法
%A 王烈衡
%J 计算数学
%D 1986
%I 
%X In this paper, a direct method for solving the discrete mixed finite element equa-tions of the biharmonic problem with homogeneous boundary values is given, based onthe abstract analysis for the mixed finite element method (c.f. 1], 2] and 6] ). Let?_h be a regular triangulation of a convex polygon in plane, N and M be the numbersof the inter-nodes and boundary nodes respectively. Then the procedure for solving thediscrete mixed finite element equations of the biharmonic problem can be deduced tosolving three systems of dimension N and two systems of dimension M essentially, andthe coefficient matrix of these systems is symmetric positive definite. The conditionnumbers of the systems are given.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=CB77338F9A42DACE179CA65B3233D5B4&yid=4E65715CCF57055A&vid=5D311CA918CA9A03&iid=E158A972A605785F&sid=84A93BA251D28205&eid=CB3428B1EFB1C133&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=0