Numerische Mathematik Convergence and optimal complexity of adaptive finite element eigenvalue computations
Numerische Mathematik Convergence and optimal complexity of adaptive finite element eigenvalue computations
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通讯作者：
X. Dai;Jinchao Xu;Aihui Zhou
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作者：
X. Dai;Jinchao Xu;Aihui Zhou
本文研究了椭圆特征值问题的自适应有限元方法。证明了自适应有限元特征值逼近的一致收敛性和最优复杂度。分析基于有限元特征值近似和相关的有限元边值近似之间的某种关系，该关系也在本文中建立。数学学科分类（2000）65F15·65N15·65N25·65N30·65N50
In this paper, an adaptive finite element method for elliptic eigenvalue problems is studied. Both uniform convergence and optimal complexity of the adaptive finite element eigenvalue approximation are proved. The analysis is based on a certain relationship between the finite element eigenvalue approximation and the associated finite element boundary value approximation which is also established in the paper. Mathematics Subject Classification (2000) 65F15 · 65N15 · 65N25 · 65N30 · 65N50