二阶椭圆问题的混合元方法  

MIXED FINITE ELEMENT METHODS FOR THE 2ND-ORDER ELLIPTIC PROBLEM

作　　者：段火元[1] 梁国平[1] 

机构地区：[1]中国科学院数学与系统科学研究院数学研究所,北京100080

出　　处：《计算数学》2001年第4期417-428,共12页Mathematica Numerica Sinica

摘　　要：New mixed finite element methods are presented for the second order ellip tic problem :-Δu = f in Ω , with u ∈ H01(Ω).These new methods are coercive, and the resulting linear systems are positively definite, with condition number O(h-2).Moreover, they allow the use of much more finite elements.New mixed finite element methods are presented for the second order ellip tic problem :-Δu = f in Ω , with u ∈ H01(Ω).These new methods are coercive, and the resulting linear systems are positively definite, with condition number O(h-2).Moreover, they allow the use of much more finite elements.

关 键 词：二阶椭圆问题 混合元逼近 SOBOLEV空间 范数 有限元 近似解 逼近解 

分 类 号：O241.8[理学—计算数学]