Sökning: "backward Euler method"

Visar resultat 1 - 5 av 9 avhandlingar innehållade orden backward Euler method.

  1. 1. On Numerical Methods for the Diffusion Equation Subject to Non-Local Boundary Conditions

    Författare :Gunnar Ekolin; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; forward Euler method; backward Euler method; the Crank-Nicolson method; heat equation; Galerkin finite element methods; backward Euler method;

    Sammanfattning : In the first paper three different finite difference methods for solving the heat equation in one space dimension with boundary conditions containing integrals over the interior of the interval are considered. The schemes are based on the forward Euler, the backward Euler and the Crank-Nicolson methods. Error estimates are derived in maximum norm. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

  4. 3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

    Författare :Adam Andersson; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

    Sammanfattning : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. LÄS MER

  5. 4. Models for capturing the penetration of a diffusant concentration into rubber : Numerical analysis and simulation

    Författare :Surendra Nepal; Adrian Muntean; Nadja Ray; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; transport of diffusants; moving-boundary problem; finite element method; a priori and a posteriori error estimates; random walk method; two-scale coupled system; Matematik; Mathematics;

    Sammanfattning : Understanding the transport of diffusants into rubber plays an important role in forecasting the material's durability. In this regard, we study different models, conduct numerical analysis, and present simulation results that predict the evolution of the penetration front of diffusants. LÄS MER

  7. 5. A moving boundary problem for capturing the penetration of diffusant concentration into rubbers : Modeling, simulation and analysis

    Författare :Surendra Nepal; Adrian Muntean; Yosief Wondmagegne; Magnus Ögren; Karlstads universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER