Displaying similar documents to “On the belonging of a perturbed vector to a subspace from a numerical view point.”

A special finite element method based on component mode synthesis

Ulrich L. Hetmaniuk, Richard B. Lehoucq (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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The goal of our paper is to introduce basis functions for the finite element discretization of a second order linear elliptic operator with rough or highly oscillating coefficients. The proposed basis functions are inspired by the classic idea of component mode synthesis and exploit an orthogonal decomposition of the trial subspace to minimize the energy. Numerical experiments illustrate the effectiveness of the proposed basis functions.

Reduction of large circuit models via low rank approximate gramians

Jing-Rebecca Li, Jacob White (2001)

International Journal of Applied Mathematics and Computer Science

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We describe a model reduction algorithm which is well-suited for the reduction of large linear interconnect models. It is an orthogonal projection method which takes as the projection space the sum of the approximate dominant controllable subspace and the approximate dominant observable subspace. These approximate dominant subspaces are obtained using the Cholesky Factor ADI (CF-ADI) algorithm. We describe an improvement upon the existing implementation of CF-ADI which can result in...