Search for dissertations about: "generalized finite element"

Showing result 1 - 5 of 24 swedish dissertations containing the words generalized finite element.

2. 1. A generalized finite element method for linear thermoelasticity

   Author : Anna Persson; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Thermoelasticity; parabolic equations; linear elasticity; multiscale; composites; generalized finite element; local orthogonal decomposition; a priori analysis; a priori analysis;

   Abstract : In this thesis we develop a generalized finite element method for linear thermoelasticity problems, modeling displacement and temperature in an elastic body. We focus on strongly heterogeneous materials, like composites. READ MORE

4. 2. Generalized finite element methods for time-dependent multiscale problems

   Author : Per Ljung; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; localized orthogonal decomposition; multiscale; Strongly damped wave equation; parabolic equations.; finite element method;

   Abstract : In this thesis we develop and analyze generalized finite element methods for time-dependent partial differential equations (PDEs). The focus lies on equa- tions with rapidly varying coefficients, for which the classical finite element method is insufficient, as it requires a mesh fine enough to resolve the data. READ MORE

5. 3. Numerical Analysis of Evolution Problems in Multiphysics

   Author : Anna Persson; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; regularity; generalized finite element; localized orthogonal decomposition; multiscale; finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations; Regularity; generalized finite element; localized orthogonal decomposition; multiscale finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations;

   Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE

6. 4. 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

7. 5. Computational Models of Adhesively Bonded Joints

   Author : Peter Schmidt; Anders Klarbring; Ulf Stigh; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; adhesively bonded joint; asymptotic expansion; finite element; damage mechanics; Engineering mechanics; Teknisk mekanik;

   Abstract : Simulations using the Finite Element Method (FEM) play an increasingly important role in the design process of joints and fasteners in the aerospace industry. In order to utilize the potential of such adhesive bonding, there is an increasing need for effective and accurate computational methods. READ MORE