Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Grubišić Luka"'
Various iterative eigenvalue solvers have been developed to compute parts of the spectrum for a large sparse matrix, including the power method, Krylov subspace methods, contour integral methods, and preconditioned solvers such as the so called LOBPC
Externí odkaz:
http://arxiv.org/abs/2405.11962
In this paper we consider a constrained parabolic optimal control problem. The cost functional is quadratic and it combines the distance of the trajectory of the system from the desired evolution profile together with the cost of a control. The const
Externí odkaz:
http://arxiv.org/abs/2109.13783
Publikováno v:
Computational Methods in Applied Mathematics, 21(2):385-405, 2021
We present a perturbed subspace iteration algorithm to approximate the lowermost eigenvalue cluster of an elliptic eigenvalue problem. As a prototype, we consider the Laplace eigenvalue problem posed in a polygonal domain. The algorithm is motivated
Externí odkaz:
http://arxiv.org/abs/2102.06818
We propose an a posteriori error estimator for high-order $p$- or $hp$-finite element discretizations of selfadjoint linear elliptic eigenvalue problems that is appropriate for estimating the error in the approximation of an eigenvalue cluster and th
Externí odkaz:
http://arxiv.org/abs/2009.06677
Publikováno v:
In Journal of Computational Physics 1 December 2023 494
We consider computing eigenspaces of an elliptic self-adjoint operator depending on a countable number of parameters in an affine fashion. The eigenspaces of interest are assumed to be isolated in the sense that the corresponding eigenvalues are sepa
Externí odkaz:
http://arxiv.org/abs/1909.11608
A filtered subspace iteration for computing a cluster of eigenvalues and its accompanying eigenspace, known as "FEAST", has gained considerable attention in recent years. This work studies issues that arise when FEAST is applied to compute part of th
Externí odkaz:
http://arxiv.org/abs/1901.07724
A new model description for the numerical simulation of elastic stents is proposed. Based on the new formulation an inf-sup inequality for the finite element discretization is proved and the proof of the inf-sup inequality for the continuous problem
Externí odkaz:
http://arxiv.org/abs/1812.10096
Publikováno v:
In Applied Mathematics Letters May 2022 127
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 May 2022 394