Search for dissertations about: "A priori estimates"

Showing result 1 - 5 of 42 swedish dissertations containing the words A priori estimates.

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. Multiscale Methods and Uncertainty Quantification

   Author : Daniel Elfverson; Axel Målqvist; Frédéric Legoll; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; multiscale methods; finite element method; discontinuous Galerkin; Petrov-Galerkin; a priori; a posteriori; complex geometry; uncertainty quantification; multilevel Monte Carlo; failure probability; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : In this thesis we consider two great challenges in computer simulations of partial differential equations: multiscale data, varying over multiple scales in space and time, and data uncertainty, due to lack of or inexact measurements.We develop a multiscale method based on a coarse scale correction, using localized fine scale computations. READ MORE

5. 3. A priori and a posteriori error estimates and adaptive finite element methods for a model eigenvalue problem

   Author : Christina Nystedt; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : .... READ MORE

6. 4. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis

   Author : Surendra Nepal; Adrian Muntean; Yosief Wondmagegne; Magnus Ögren; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Moving boundary problem; finite element method; a priori error estimate; a posteriori error estimate; order of convergence; diffusion of chemicals into rubber; swelling; Matematik; Mathematics;

   Abstract : We propose a moving-boundary scenario to model the penetration of diffusants into rubbers. Immobilizing the moving boundary by using the well-known Landau transformation transforms the original governing equations into new equations posed in a fixed domain. READ MORE

7. 5. 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