The principles of B-smooth discontinuous flows

Download

index.pdf

Date

2005-05-01

Author

Akalin, E
Akhmet, Marat

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

119
views

105
downloads

In this paper, we define B-smooth discontinuous dynamical systems which can be used as models of various processes in mechanics, electronics, biology, and medicine. We find sufficient conditions to guarantee the existence of such systems. These conditions are easy to verify. Appropriate examples are constructed.

Subject Keywords

Modelling and Simulation, Computational Theory and Mathematics, Computational Mathematics

URI

https://hdl.handle.net/11511/36095

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS

DOI

https://doi.org/10.1016/j.camwa.2004.12.003

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A power comparison and simulation study of goodness-of-fit tests Sürücü, Barış (Elsevier BV, 2008-09-01) We give the results of a comprehensive simulation Study Of the power properties of prominent goodness-of-fit tests. For testing the normal N(mu, sigma(2)), we propose a new omnibus goodness-of-fit statistic C which is a combination of the Shapiro-Wilk statistic W and the correlation statistic R. We show that the test of normality based on C is overall more powerful than other prominent goodness-of-fit tests and is effective against boil) symmetric as well as skew alternatives. We also show that the null dis...
Characterization of fracture processes by continuum and discrete modelling KALISKE, M.; Dal, Hüsnü; FLEISCHHAUER, R.; JENKEL, C.; NETZKER, C. (Springer Science and Business Media LLC, 2012-09-01) A large number of methods to describe fracture mechanical features of structures on basis of computational algorithms have been developed in the past due to the importance of the topic. In this paper, current and promising numerical approaches for the characterization of fracture processes are presented. A fracture phenomenon can either be depicted by a continuum formulation or a discrete notch. Thus, starting point of the description is a micromechanically motivated formulation for the development of a loc...
On the foundations of parameter estimation for generalized partial linear models with B-splines and continuous optimization TAYLAN, PAKİZE; Weber, Gerhard Wilhelm; Liu, Lian; Yerlikaya-Ozkurt, Fatma (Elsevier BV, 2010-07-01) Generalized linear models are widely used in statistical techniques. As an extension, generalized partial linear models utilize semiparametric methods and augment the usual parametric terms with a single nonparametric component of a continuous covariate. In this paper, after a short introduction, we present our model in the generalized additive context with a focus on the penalized maximum likelihood and the penalized iteratively reweighted least squares (P-IRLS) problem based on B-splines, which is attract...
Solution of linear systems in arterial fluid mechanics computations with boundary layer mesh refinement Manguoğlu, Murat; Sameh, Ahmed H.; Tezduyar, Tayfun E. (Springer Science and Business Media LLC, 2010-06-01) Computation of incompressible flows in arterial fluid mechanics, especially because it involves fluid-structure interaction, poses significant numerical challenges. Iterative solution of the fluid mechanics part of the equation systems involved is one of those challenges, and we address that in this paper, with the added complication of having boundary layer mesh refinement with thin layers of elements near the arterial wall. As test case, we use matrix data from stabilized finite element computation of a b...
Computational modeling of passive myocardium Göktepe, Serdar; Wong, Jonathan; Kuhl, Ellen (Wiley, 2011-01-01) This work deals with the computational modeling of passive myocardial tissue within the framework ofmixed, non-linear finite element methods. We consider a recently proposed, convex, anisotropic hyperelastic model that accounts for the locally orthotropic micro-structure of cardiac muscle. A coordinate-free representation of anisotropy is incorporated through physically relevant invariants of the Cauchy-Green deformation tensors and structural tensors of the corresponding material symmetry group. This model...

Citation Formats

E. Akalin and M. Akhmet, “The principles of B-smooth discontinuous flows,” COMPUTERS & MATHEMATICS WITH APPLICATIONS, pp. 981–995, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36095.