Sökning: "multiscale finite element method"

Visar resultat 1 - 5 av 31 avhandlingar innehållade orden multiscale finite element method.

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. 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

4. 3. A generalized finite element method for linear thermoelasticity

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

   Sammanfattning : 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. LÄS MER

5. 4. Finite element methods for multiscale/multiphysics problems

   Författare :Robert Söderlund; Mats Larson; Victor Ginting; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element methods; variational multiscale methods; Galerkin; convergence analysis; multiphysics; a posteriori error estimation; duality; adaptivity; Mathematical statistics; Matematisk statistik; Mathematical Statistics; matematisk statistik;

   Sammanfattning : In this thesis we focus on multiscale and multiphysics problems. We derive a posteriori error estimates for a one way coupled multiphysics problem, using the dual weighted residual method. LÄS MER

7. 5. 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