非对称不定椭圆边值问题MG方法的收敛性

Convergence of Multigrid for Nonsymmetric and Indefinite Elliptic Boundary Value Problems

通过对对称正定双线性形式的扰动分析,得到了一个新的对称正定椭圆边值问题与非对称不定椭圆边值问题的误差减少算子的关系式.由构造的新假设和引理,简洁地分析了非对称不定二阶椭圆边值问题的V-cycle是收敛的.

In this paper,a perturbation of symmetric and positive defmite operator is analyzed.A new equality of the symmetric and positive defmite error reduction operator and the nonsymmetric and positive indefmite operator error reducetion factor is developed.Based on the new assumption and lemma,we prove the convergence of the nonsymmetric and indefinite elliptic boundary value problems easily.