Sökning: "localized orthogonal decomposition"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden localized orthogonal decomposition.

1. 1. Generalized finite element methods for time-dependent multiscale problems

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

   Sammanfattning : 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. LÄS MER

3. 2. Multiscale methods for evolution problems

   Författare :Per Ljung; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; localized orthogonal decomposition; multiscale; stochastic partial differential equations; Strongly damped wave equation; finite element method; spatial network models; parabolic equations;

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

4. 3. Numerical Analysis of Evolution Problems in Multiphysics

   Författare :Anna Persson; Göteborgs universitet; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

5. 4. Experimental validation and numerical upscaling of linear network models for simulation of paper

   Författare :Morgan Görtz; Stiftelsen Fraunhofer-Chalmers Centrum för Industrimatematik (FCC); []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Bending; paper model; multiscale; network model; local orthogonal decomposition; paper simulation;

   Sammanfattning : Paper modeling results in complex geometries that lead to enormous numerical problems. The complexity lies in the material's microstructure. Individual paper fibers must be considered for useful material simulations in paper development, where wood composition and other fiber-based parameters are essential. LÄS MER

7. 5. Energy-conservative finite element methods for nonlinear Schrödinger equations

   Författare :Johan Wärnegård; Patrick Henning; Xavier Antoine; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics; Numerical Analysis; Numerisk analys;

   Sammanfattning : This thesis is devoted to numerical methods for nonlinear Schrödingerequations (NLSEs). These equations have applications in a variety offields such as optics, fluid dynamics, solid-state physics and, of course,quantum mechanics. Notably, the cubic NLSE describes the dynamics of Bose-Einstein condensates. LÄS MER