Abstract: The LQ-optimal state feedback of a finite-dimensional linear time-invariant system determines a coprime factorization NM-1 of the transfer function. We show that the same...
This paper proposes an additive Schwarz method for variational inequalities and their approximations by finite element methods. The Schwarz domain decomposition method is proved to...
Abstract. This paper provides a framework for developing computationally efficient multilevel preconditioners and representations for Sobolev norms. Specifically, given a Hilbert s...
James H. Bramble, Joseph E. Pasciak, Panayot Vassi...
We study spectral properties of certain families of linear second-order differential operators arising from linear stochastic differential equations. We construct a basis in the Hi...
This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimens...