Variational Multiscale Proper Orthogonal Decomposition with Modular Regularization

2017-07-08
Güler Eroğlu, Fatma
Kaya Merdan, Songül
Rebholz, Leo
International Conference on Computational and Mathematical Methods in Science and Engineering (2017)

Suggestions

Variational base and solution strategies for non-linear force-based beam finite elements
Sarıtaş, Afşin (2012-04-01)
This paper presents the variational bases for the non-linear force-based beam elements. The element state determination of these elements is obtained exactly from a two-field functional with independent stress and strain fields. The variational base of the non-linear force-based beam elements implemented in a general purpose displacement-based finite element program requires the inclusion of independent displacement field in the formulation. For this purpose, a three-field functional is considered with inde...
Variational Bayes methods for random matrix-based extended target tracking
Tuncer, Barkın; Özkan, Emre; Department of Electrical and Electronics Engineering (2022-2-10)
In this thesis, we investigate two major topics; Random matrix-based models using variational Bayes inference for extended target tracking and shape classification algorithms for tracking applications. In the scope of this thesis, we have derived two novel random matrix-based tracking algorithms. First, to represent the extent of dynamic objects as an ellipsoid with a time-varying orientation angle, and secondly, to estimate the extent of the object or a group of objects with more than one ellipsoid. In bo...
Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations
Akman, Tugba; Karasözen, Bülent (2014-12-15)
In this paper, the distributed optimal control problem governed by unsteady diffusion-convection-reaction equation without control constraints is studied. Time discretization is performed by variational discretization using continuous and discontinuous Galerkin methods, while symmetric interior penalty Galerkin with upwinding is used for space discretization. We investigate the commutativity properties of the optimize-then-discretize and discretize-then-optimize approaches for the continuous and discontinuo...
Variational iteration method for Sturm-Liouville differential equations
ALTINTAN, DERYA; Uğur, Ömür (2009-07-01)
In this article, He's variational iteration method is applied to linear Sturm-Liouville eigenvalue and boundary value problems, including the harmonic oscillator. In this method, solutions of the problems are approximated by a set of functions that may include possible constants to be determined from the boundary conditions. By computing variations, the Lagrange multipliers are derived and the generalised expressions of variational iterations are constructed. Numerical results show that the method is simple...
Variational smoothing for extended target tracking with random matrices
Kartal, Savaş Erdem; Orguner, Umut; Department of Electrical and Electronics Engineering (2022-4-05)
In this thesis, two Bayesian smoothers are proposed for random matrix based extended target tracking (ETT). The proposed smoothers are based on the variational Bayes techniques and they are derived for an extended target model without and with orientation. The random matrix models of Feldman et al. and Tuncer and Özkan are used as the extended target models without and with orientation, respectively. The performance of both smoothers is evaluated using simulation results on two different scenarios. It is se...
Citation Formats
F. Güler Eroğlu, S. Kaya Merdan, and L. Rebholz, “Variational Multiscale Proper Orthogonal Decomposition with Modular Regularization,” presented at the International Conference on Computational and Mathematical Methods in Science and Engineering (2017), Costa Ballena, Cádiz, Spain, 2017, Accessed: 00, 2021. [Online]. Available: http://cmmse.usal.es/cmmse2018/sites/default/files/Program_CMMSE_2017_FV.pdf.