Zvonimir Tutek

Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods

An asymptotic expansion method is applied to nonlinear three-dimensional elastic straight slender rods. Nonlinear ordinary differential equations for approximate displacements and explicit formulas for approximate stress distributions are obtained. Mathematical properties of these models are studied.RésuméOn applique la méthode des développements asymptotiques à des poutres tridimensionnelles droites, élancées et non linéairement élastiques. On en déduit des équations différentielles ordinaires non linéaires pour des déplacements approchés, ainsi que des formules explicites pour des approximations des distributions de contraintes. On étudie les propriétés mathématiques de ces modèles.

Determination of Heat and Mass Transfer Coefficients in Thin Layer Drying of Grain

Five models simulating the process of simultaneous heat and mass transfer in the drying of a layer of barley are formulated. By using the inverse method, the transfer coefficients for all five models are estimated from measured values of instantaneous surface temperature and average moisture content. A finite element method is used to solve the nonlinear coupled system of two partial differential equations modeling the drying process. It is concluded that the mass transfer coefficient is 1.08 ¥ 10–6 ms–1 for all five models, and that this number is much smaller than that calculated from the Lewis relation. The heat transfer coefficient is found to vary from 43 to 59 Wm–2 K–1, depending on the form of the drying model.

Applied Mathematics and Scientific Computing

Part I: Invited lectures. Domain Decomposition Methods M. Sarkis. Modification and Maintenance of ULV Decompositions J.L. Barlow. Advances in Jacobi Methods Z. Drmac, V. Hari, I. Slapnicar. Modelling of curved rods M. Jurak, J. Tambaca, Z. Tutek. Incompressible Newtonian flow through thin pipes E. Marusic-Paloka. Nonlinear Problems in Dynamics by the Finite Element in Time Method N. Kranjcevic, M. Stegic, N. Vrankovic. First Order Eigenvalue Perturbation Theory and the Newton Diagram J. Moro, F.M. Dopi. Part II: Contributed lectures. Microlocal energy density for hyperbolic systems N. Antonic, M. Lazar. Approximate solutions to some second order linear recurrences K. Balla, V. Horvat. Asymptotic Behaviour of Tension Spline Collocation Matrix I. Beros, M. Marusic. Numerical stability of Krylov subspace iterative methods for solving linear systems N. Bosner. Nonlinear Problems in Dynamics by the Finite Element in Time Method N. Kranjcevic, M. Stegic, N. Vrankovic. On directional bias of the Lp-norm T. Marosevic. A note on slip condition on corrugated boundary E. Marusic-Paloka. Relaxation of some energy functionals related to the formation of microstructure A. Raguz. A Coarse Space for Elasticity M. Sarkis. Numerical Approximations of the Sediment Transport Equations L. Sopta, N. Crnjaric-Zic, S. Vukovic. A model of irregular curved rods J. Tambaca. Existence of the density of states for some alloy type models with single site potentials that change sign I. Veselic. On principal eigenvalue of stationary diffusion problem with nonsymmetric coefficients M. Vrdoljak. Qualitative Analysis of some Solutions of Quasilinear System of Differential Equations B. Vrdoljak, A. Omerspahi . High-Order ENO and WENO Schemes with Flux Gradient and Source Term Balancing S. Vukovi , L. Sopta. Index.

Proceedings of the Conference on Applied Mathematics and Scientific Computing

Invited Lectures.- Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications.- A General Frame for the Construction of Constrained Curves.- DMBVP for Tension Splines.- Robust Numerical Methods for the Singularly Perturbed Black-Scholes Equation.- Contributed Lectures.- On Certain Properties of Spaces of Locally Sobolev Functions.- On Some Properties of Homogenised Coefficients for Stationary Diffusion Problem.- Solving Parabolic Singularly Perturbed Problems by Collocation Using Tension Splines.- On Accuracy Properties of One-Sided Bidiagonalization Algorithm and Its Applications.- Knot Insertion Algorithms for Weighted Splines.- Numerical Procedures for the Determination of an Unknown Source Parameter in a Parabolic Equation.- Balanced Central NT Schemes for the Shallow Water Equations.- Hidden Markov Models and Multiple Alignments of Protein Sequences.- On Strong Consistency for One-Step Approximations of Stochastic Ordinary Differential Equations.- On the Dimension of Bivariate Spline Space S31(?).- Total Least Squares Problem for the Hubbert Function.- Heating of Oil Well by Hot Water Circulation.- Geometric Interpolation of Data in

Identification of mobilities for the Buckley-Leverett equation

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Modelling of Curved Rods

3.- One-Dimensional Flow of a Compressible Viscous Micropolar Fluid: Stabilization of the Solution.- On Parameter Classes of Solutions for System of Quasilinear Differential Equations.- Algebraic Proof of the B-Spline Derivative Formula.- Relative Perturbations, Rank Stability and Zero Patterns of Matrices.- Numerical Simulations of Water Wave Propagation and Flooding.- Derivation of a Model of Leaf Springs.- Quantum Site Percolation on Amenable Graphs.- Order of Accuracy of Extended Weno Schemes.

Homogenization of a spectral problem for a pile foundation structure

Using the so-called Kirchhoff assumptions a special form of the equilibrium displacement for a three-dimensional curved rod-like elastic body is derived. The variational form of equilibrium equations of linearized elasticity written in terms of such special displacements reduces to a certain variational problem, called the curved rod model. This model is compared with the classical arch model.

A justification of the one-dimensional linear model of elastic beam

The authors consider a method for determining mobilities by optimal control. The method developed permits one to use an arbitrary number of free parameters in the mobilities and three free parameters in the fractional flow function. This approach covers all previous approaches that deal with optimal control. Computed examples confirm a theoretical expectation that the pressure response can be fitted to any precision and the recovery response with a small error. They give a detailed theoretical study and a comparison with previous approaches.