EXPLICIT BOUNDS OF EIGENVALUES FOR STIFFNESS MATRICES BY QUADRATIC HIERARCHICAL BASIS METHOD

• 来源期刊: 计算数学（英文版）
• 关键词: hierarchical basis multilevel
• 年，卷（期）: 2003,（2）
• 页码范围: 113-124
• 页数: 12页
• 语种: 英文

摘要

The bounds for the eigenvalues of the stiffness matrices in the finite element discretization corresponding to Lu := -u" with zero boundary conditions by quadratic hierarchical basis are shown explicitly. The condition number of the resulting system behaves like O(1/h)where h is the mesh size. We also analyze a main diagonal preconditioner of the stiffness matrix which reduces the condition number of the preconditioned system to O(1).