Sökning: "continuous Galerkin method"

Visar resultat 1 - 5 av 14 avhandlingar innehållade orden continuous Galerkin method.

  1. 1. The Continuous Galerkin Method for Fractional Order Viscoelasticity

    Författare :Fardin Saedpanah; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : We consider a fractional order integro-differential equation with a weakly singular convolution kernel. The equation with homogeneous Dirichlet boundary conditions is reformulated as an abstract Cauchy problem, and well-posedness is verified in the context of linear semigroup theory. LÄS MER

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

    Författare :Fardin Saedpanah; Göteborgs universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  4. 3. Continuous and Discontinuous Spectral Elements for 1D Boussinesq-Type Equations

    Författare :Claes Eskilsson; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; discontinuous Galerkin method; Nonlinear dispersive water waves; Boussinesq-type equations; spectral element method;

    Sammanfattning : .... LÄS MER

  5. 4. Multiscale Methods and Uncertainty Quantification

    Författare :Daniel Elfverson; Axel Målqvist; Frédéric Legoll; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

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

    Författare :Johan Ivarsson; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; discontinuous Galerkin method; a posteriori error estimate; adaptive finite element method; duality; residual; Ginzburg-Landau equations; superconductivity; residual;

    Sammanfattning : 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. LÄS MER