Search for dissertations about: "a posteriori error estimate"

Showing result 1 - 5 of 29 swedish dissertations containing the words a posteriori error estimate.

2. 1. 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

4. 2. On adaptive finite element procedures for static and dynamic problems

   Author : Ling Fu Zeng; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; error estimate; elastostatic; post-processing; accuracy; finite element; elastodynamic; h-version; Newmark time integration; adaptivity; interpolation; automatic time-stepping; a posteriori;

   Abstract : .... READ MORE

5. 3. Finite element approximation of the deterministic and the stochastic Cahn-Hilliard equation

   Author : Ali Mesforush; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element; a priori error estimate; stochastic integral; mild solution; dual weighted residuals; a posteriori error estimate; additive noise; Wiener process; Cahn-Hilliard equation; existence; regularity; Lya- punov functional; stochastic convolution; Lya- punov functional;

   Abstract : This thesis consists of three papers on numerical approximation of the Cahn-Hilliard equation. The main part of the work is concerned with the Cahn-Hilliard equation perturbed by noise, also known as the Cahn-Hilliard-Cook equation. READ MORE

6. 4. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation

   Author : Fardin Saedpanah; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; continuous Galerkin method; linear viscoelasticity; fractional calculus; fractional order viscoelasticity; weakly singular kernel; stability; a priori error estimate; a posteriori error estimate; stochastic wave equation; additive noise; Wiener process; strong convergence.; linear viscoelasticity;

   Abstract : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. READ MORE

7. 5. On A Posteriori Error Estimation in the Maximum Norm

   Author : Mats Boman; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : In this thesis we consider residual-based a posteriori error estimates in the maximum norm for the finite element solution of some partial differential equations. The thesis consists of three papers. The first paper concerns a pointwise a posteriori error estimate for the time dependent obstacle problem. READ MORE