Search for dissertations about: "stochastic finite element"

Showing result 1 - 5 of 41 swedish dissertations containing the words stochastic finite element.

2. 1. Stochastic finite element simulations of real life frontal crashes : With emphasis on chest injury mechanisms in near-side oblique loading conditions

   Author : Johan Iraeus; Mats Lindquist; Ulf Björnstig; Mats G Larsson; Joel Stitzel; Umeå universitet; []
   Keywords : MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; EDR; Real life crashes; Oblique; Finite element; Simulation; HBM; Injury mechanism; Pulse shape; Stochastic; Rib fracture; THUMS; Generic; Statistics; biomechanics; biomekanik; skadeförebyggande; injury prevention;

   Abstract : Introduction. Road traffic injuries are the eighth leading cause of death globally and the leading cause of death among young people aged 15-29. Of individuals killed or injured in road traffic injuries, a large group comprises occupants sustaining a thorax injury in frontal crashes. The elderly are particularly at risk, as they are more fragile. READ MORE

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

   Author : Ali Mesforush; Göteborgs universitet; []
   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

5. 3. Approximating Stochastic Partial Differential Equations with Finite Elements: Computation and Analysis

   Author : Andreas Petersson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lévy process; Lyapunov equation; white noise; finite element method; multilevel Monte Carlo; Monte Carlo; multiplicative noise; asymptotic mean square stability; stochastic heat equation; covariance operator; weak convergence; generalized Wiener process; numerical approximation; stochastic wave equation; Stochastic partial differential equations;

   Abstract : Stochastic partial differential equations (SPDE) must be approximated in space and time to allow for the simulation of their solutions. In this thesis fully discrete approximations of such equations are considered, with an emphasis on finite element methods combined with rational semigroup approximations. READ MORE

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

   Author : Ali Mesforush; Göteborgs universitet; []
   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

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

   Author : Fardin Saedpanah; Göteborgs universitet; []
   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