Search for dissertations about: "a priori error estimate"

Showing result 1 - 5 of 12 swedish dissertations containing the words a priori error estimate.

2. 1. Finite element approximation of the deterministic and the stochastic Cahn-Hilliard equation

   Author : Ali Mesforush; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   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

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

   Author : Fardin Saedpanah; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   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

5. 3. Models and numerical procedures for fractional order viscoelasticity

   Author : Klas Adolfsson; Chalmers University of Technology; []
   Keywords : sparse quadrature; a posteriori error estimate; a priori error estimate; viscoelasticity; adaptivity; fractional calculus; large deformations; integro-differential equation; internal variables;

   Abstract : .... READ MORE

6. 4. On the Finite Element Method for the Time-Dependent Ginzburg-Landau Equations

   Author : Johan Ivarsson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Keywords : discontinuous Galerkin method; a posteriori error estimate; adaptive finite element method; duality; residual; Ginzburg-Landau equations; superconductivity; residual;

   Abstract : This thesis is primarily concerned with various issues regarding finite element approximation of the time-dependent Ginzburg-Landau equations. The time-dependent Ginzburg-Landau equations is a macroscopic, phenomenological model of superconductivity, consisting of a system of nonlinear, parabolic partial differential equations. READ MORE

7. 5. Computational Characterization of Mixing in Flows

   Author : Erik D. Svensson; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; mixing; hyperbolicity; shadowing; finite elements; flow simulation; a priori error estimates; Stokes equations; point location; multigrid; refinements; mixing;

   Abstract : The major theme of this thesis is mathematical aspects of fluid mixing in the case when diffusion is negligible, which is commonly refered to as ’mixing by stirring’ or ’mixing by chaotic advection’ in the engineering literature. In this case the mixing is driven by a velocity field and is characterized by the flow generated by the velocity field. READ MORE