Search for dissertations about: "Error estimate"

Showing result 1 - 5 of 296 swedish dissertations containing the words Error estimate.

  1. 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

  2. 2. Finite element approximation of the linear stochastic Cahn-Hilliard equation

    Author : Ali Mesforush; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Cahn-Hilliard-Cook equation; finite element method; backward Euler method; error estimate; strong convergence; backward Euler method;

    Abstract : The linearized Cahn-Hilliard-Cook equation is discretized in the spatial variables by a standard finite element method. Strong convergence estimates are proved under suitable assumptions on the covariance operator of the Wiener process, which is driving the equation. The backward Euler time stepping is also studied. READ MORE

  3. 3. 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

  4. 4. 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

  5. 5. On weak and strong convergence of numerical approximations of stochastic partial differential equations

    Author : Fredrik Lindgren; Göteborgs universitet; Göteborgs universitet; Gothenburg University; []
    Keywords : Additive noise; Cahn-Hilliard-Cook equation; Error estimate; Finite element; Hyperbolic equation; Parabolic equation; Rational approximation; Stochastic partial differential equation; Strong convergence; Truncation; Wiener process; Weak convergence; Weak convergence;

    Abstract : This thesis is concerned with numerical approximation of linear stochastic partial differential equations driven by additive noise. In the first part, we develop a framework for the analysis of weak convergence and within this framework we analyze the stochastic heat equation, the stochastic wave equation, and the linearized stochastic Cahn-Hilliard, or the linearized Cahn-Hilliard-Cook equation. READ MORE