Sökning: "variational multiscale methods"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden variational multiscale methods.

  1. 1. Adaptive variational multiscale methods

    Författare :Axel Målqvist; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; variational multiscale method; mixed formulation; multi-physics; oil reservoir simulation; finite element method;

    Sammanfattning : In this thesis we present a new adaptive multiscale method for solving elliptic partial differential equations. The method is based on numerical solution of decoupled local fine scale problems on patches. LÄS MER

  3. 2. 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

  4. 3. Numerical methods and multi-scale modeling for phase-field fracture - With applications in linear elastic and poro-elastic media

    Författare :Ritukesh Bharali; Chalmers tekniska högskola; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; fracture; multiphysics; finite element; multiscale; desiccation; solvers; fracking; phase-field; solution techniques;

    Sammanfattning : This thesis presents novel numerical methods and a multi-scale modelling framework tailored for advancing the phase-field fracture model with applications in linear elastic and poro-elastic media. In the realm of the numerical methods, the focus lies on devising computationally efficient and robust monolithic solution techniques. LÄS MER

  5. 4. 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

  7. 5. On adaptive finite element methods based on a posteriori estimates

    Författare :Axel Målqvist; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; Poisson equation; boundary penalty method; Helmholtz equation; pollution; variational multiscale method; adaptivity;

    Sammanfattning : .... LÄS MER