Search for dissertations about: "well posedness equation"

Showing result 1 - 5 of 22 swedish dissertations containing the words well posedness equation.

2. 1. The fW-mean filter framework for topology optimization and analysis of Friedrichs systems

   Author : Linus Hägg; Martin Berggren; Eddie Wadbro; Björn Engquist; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; topology optimization; filters; mathematical morphology; size control; minimum compliance problem; Friedrichs systems; well-posedness; variational formulations; linearized Euler’s equations; Galbrun’s equation; acoustics; Mathematics; matematik;

   Abstract : Part I. Topology optimization is the most general form of design optimization in which the optimal layout of material within a given region of space is to be determined. Filters are essential components of many successful density based topology optimization approaches. READ MORE

4. 2. 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

5. 3. Variational Methods for Moments of Solutions to Stochastic Differential Equations

   Author : Kristin Kirchner; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Additive and multiplicative noise; Stochastic partial differential equation; Projective and injective tensor product space; Hilbert tensor product space; Space-time variational problem; Petrov-Galerkin discretization; Stochastic ordinary differential equation;

   Abstract : Numerical methods for stochastic differential equations typically estimate moments of the solution from sampled paths. Instead, we pursue the approach proposed by A. Lang, S. Larsson, and Ch. READ MORE

6. 4. Mathematical analysis and approximation of a multiscale elliptic-parabolic system

   Author : Omar Richardson; Adrian Muntean; Alfred Schmidt; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Two-scale modelling; two-scale Galerkin approximation; inverse Robin estimates; elliptic-parabolic system; a priori analysis; a posteriori error estimators; Matematik; Mathematics;

   Abstract : We study a two-scale coupled system consisting of a macroscopic elliptic equation and a microscopic parabolic equation. This system models the interplay between a gas and liquid close to equilibrium within a porous medium with distributed microstructures. We use formal homogenization arguments to derive the target system. READ MORE

7. 5. The Continuous Galerkin Method for Fractional Order Viscoelasticity

   Author : Fardin Saedpanah; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : 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. READ MORE