Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
Two Methods of Galerkin Type Achieving Optimum $L^2 $ Rates of Convergence for First Order Hyperbolics
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DOI：
10.1137/0711052
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发表时间：
1974-06
影响因子：
2.9
通讯作者：
J. E. Dendy
中科院分区：
文献类型：
--
作者：
J. E. Dendy
已经证明，通常的Galerkin程序应用于一阶双曲型方程不产生最佳的L^2 $收敛速度的所有允许的有限维子空间。提出了两种方法，克服了这个困难。
It has been shown that the usual Galerkin procedure applied to first order hyperbolic equations does not yield the optimum $L^2 $ rate of convergence for all admissible finite-dimensional subspaces. Two methods are presented which overcome this difficulty.