Search for dissertations about: "Cut finite element method"

Showing result 1 - 5 of 30 swedish dissertations containing the words Cut finite element method.

2. 1. Cut finite element methods on parametric multipatch surfaces

   Author : Tobias Jonsson; Mats G. Larson; Karl Larsson; Johan Hoffman; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Cut finite element method; Nitsche method; a priori error estimation; Mathematics; matematik;

   Abstract : .... READ MORE

4. 2. High Order Cut Finite Element Methods for Wave Equations

   Author : Simon Sticko; Gunilla Kreiss; Mats G. Larson; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Cut finite element; Wave equation; Immersed; Fictitious domain; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

   Abstract : This thesis considers wave propagation problems solved using finite element methods where a boundary or interface of the domain is not aligned with the computational mesh. Such methods are usually referred to as cut or immersed methods. 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. Cut isogeometric methods on trimmed multipatch surfaces

   Author : Tobias Jonsson; Mats G. Larson; Karl Larsson; Johan Hoffman; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; cut finite element method; isogeometric analysis; Nitsche s method; a priori error estimation; parametric geometry; interface problem; surface CAD;

   Abstract : Partial differential equations (PDE) on surfaces appear in a variety of applications, such as image processing, modeling of lubrication, fluid flows, diffusion, and transport of surfactants.  In some applications, surfaces are drawn and modeled by using CAD software, giving a very precise patchwise parametric description of the surface. READ MORE

7. 5. Cut finite element methods for interface problems

   Author : Thomas Frachon; Sara Zahedi; Anders Logg; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

   Abstract : Interface problems modeled by Partial Differential Equations (PDEs) appear in a wide range of fields such as biology, fluid dynamics, micro and nano-technologies. In computer simulations of such problems a fundamental task is to numerically solve PDEs in/on domains defined by deformable interfaces/geometries. READ MORE