Search for dissertations about: "two-scale Galerkin approximation"

Found 2 swedish dissertations containing the words two-scale Galerkin approximation.

  2. 1. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

    Author : Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

    Abstract : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. READ MORE

  4. 2. Models for capturing the penetration of a diffusant concentration into rubber : Numerical analysis and simulation

    Author : Surendra Nepal; Adrian Muntean; Nadja Ray; Karlstads universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; transport of diffusants; moving-boundary problem; finite element method; a priori and a posteriori error estimates; random walk method; two-scale coupled system; Matematik; Mathematics;

    Abstract : Understanding the transport of diffusants into rubber plays an important role in forecasting the material's durability. In this regard, we study different models, conduct numerical analysis, and present simulation results that predict the evolution of the penetration front of diffusants. READ MORE