Search for dissertations about: "a priori error estimate"

Showing result 1 - 5 of 11 swedish dissertations containing the words a priori error estimate.

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

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Ali Mesforush; Göteborgs universitet.; Gothenburg University.; [2010]
    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;

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

    University dissertation from Göteborg : Chalmers University of Technology and University of Gothenburg

    Author : Fardin Saedpanah; Göteborgs universitet.; Gothenburg University.; [2009]
    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.;

    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

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

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Johan Ivarsson; Göteborgs universitet.; Gothenburg University.; [2001]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; discontinuous Galerkin method; a posteriori error estimate; adaptive finite element method; duality; residual; Ginzburg-Landau equations; superconductivity;

    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

  4. 4. Computational Characterization of Mixing in Flows

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Erik D. Svensson; Göteborgs universitet.; Gothenburg University.; [2006]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; mixing; hyperbolicity; shadowing; finite elements; flow simulation; a priori error estimates; Stokes equations; point location; multigrid; refinements;

    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 engineeringliterature. In this case the mixing is driven by a velocity field and is characterized by the flow generated by the velocity field. READ MORE

  5. 5. Adaptive finite element methods for multiphysics problems

    University dissertation from Umeå : Institutionen för Matematik och matematisk statistik, Umeå universitet

    Author : Fredrik Bengzon; Umeå universitet.; [2009]
    Keywords : finite element methods; multiphysics; a posteriori error estimation; duality; adaptivity; discontinuous Galerkin; fractional step methods;

    Abstract : In this thesis we develop and analyze the performance ofadaptive finite element methods for multiphysics problems. Inparticular, we propose a methodology for deriving computable errorestimates when solving unidirectionally coupled multiphysics problemsusing segregated finite element solvers. READ MORE