Quadratic projection methods for approximating the spectrum of self-adjoint operators
Quadratic projection methods for approximating the spectrum of self-adjoint operators
复制标题
近似自伴算子谱的二次投影方法
DOI：
--
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Michael Strauß
中科院分区：
文献类型：
--
作者：
Michael Strauß
最近，人们研究了用二次投影方法对自伴算子谱的无污染逼近。高阶无污染的近似可以通过将这种技术与Kato的方法相结合来实现。为了说明，从磁流体力学的例子被认为是。这个过程是否收敛于整个谱是未知的。结合二次方法和Galerkin方法，我们得到的程序，收敛到整个频谱和无污染。
The pollution-free approximation of the spectrum for self-adjoint operators using a quadratic projection method has recently been studied. Higher-order pollution-free approximation can be achieved by combining this technique with a method due to Kato. To illustrate, an example from magnetohydrodynamics is considered. Whether or not this procedure converges to the whole spectrum is unknown. Combining the quadratic method with the Galerkin method, we derive procedures that do converge to the whole spectrum and without pollution.