Search Results - subject:"Homogenization"

Two-scale limits in some non-linear problems of engineering mechanics

Vala, J. - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 177-185

The paper deals with the homogenization of variational formulations of non-linear systems of PDEs with periodically …-negligible validity; in most cases some kind of homogenization cannot be avoided. One of the most effective approaches, involving certain … macrostructural formulation of a model elliptic problem; it is demonstrated how the notion of the two-scale homogenization explains …

Persistent link: https://www.econbiz.de/10010749356

Sensitivity strategies in modelling heterogeneous media undergoing finite deformation

Rohan, Eduard - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 261-270

This paper deals with homogenization of microscopically heterogeneous media which are subjected to finite deformations …

Persistent link: https://www.econbiz.de/10010749996

Homogenization of heat equation with hysteresis

Franců, Jan - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 591-597

The contribution deals with heat equation in the form (cu+W[u])t=div(a·∇u)+f, where the nonlinear functional operator W[u] is a Prandtl–Ishlinskii hysteresis operator of play type characterized by a distribution function η. The spatially dependent initial boundary value problem is studied....

Persistent link: https://www.econbiz.de/10011050272

On two-scale convergence

Nechvátal, Luděk - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 489-495

Two-scale convergence is a special weak convergence used in homogenization theory. Besides the original definitions by …

Persistent link: https://www.econbiz.de/10011050605

Convective dispersion without molecular diffusion

Dorfman, Kevin D.; Brenner, Howard - In: Physica A: Statistical Mechanics and its Applications 322 (2003) C, pp. 180-194

A method-of-moments scheme is invoked to compute the asymptotic, long-time mean (or composite) velocity and dispersivity (effective diffusivity) of a two-state particle undergoing one-dimensional convective–diffusive motion accompanied by a reversible linear transition (“chemical reaction”...

Persistent link: https://www.econbiz.de/10011058680

Homogenization of random parabolic operator with large potential

Campillo, Fabien; Kleptsyna, Marina; Piatnitski, Andrey - In: Stochastic Processes and their Applications 93 (2001) 1, pp. 57-85

We study the averaging problem for a divergence form random parabolic operators with a large potential and with coefficients rapidly oscillating both in space and time variables. We assume that the medium possesses the periodic microscopic structure while the dynamics of the system is random...

Persistent link: https://www.econbiz.de/10008874028

A multiresolution homogenization of modal analysis with application to layered media

Zion Steinberg, Ben; McCoy, John J. - In: Mathematics and Computers in Simulation (MATCOM) 50 (1999) 5, pp. 393-417

We apply multiresolution techniques to study the effective properties of boundary value problems. Conditions under which boundary values are preserved in the effective (`homogenized') formulation are developed and discussed. Relations between the eigenfunctions and eigenvalues of the generic...

Persistent link: https://www.econbiz.de/10010870096