Sökning: "multiscale methods"

Visar resultat 1 - 5 av 79 avhandlingar innehållade orden multiscale methods.

  1. 1. Multiscale Methods and Uncertainty Quantification

    Författare :Daniel Elfverson; Axel Målqvist; Frédéric Legoll; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; multiscale methods; finite element method; discontinuous Galerkin; Petrov-Galerkin; a priori; a posteriori; complex geometry; uncertainty quantification; multilevel Monte Carlo; failure probability; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : In this thesis we consider two great challenges in computer simulations of partial differential equations: multiscale data, varying over multiple scales in space and time, and data uncertainty, due to lack of or inexact measurements.We develop a multiscale method based on a coarse scale correction, using localized fine scale computations. 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. 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

  5. 4. Multiscale Modeling in Systems Biology : Methods and Perspectives

    Författare :Adrien Coulier; Andreas Hellander; Mark Chaplain; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational systems biology; high performance computing; Bayesian inference; stochastic simulation; cell mechanics; Scientific Computing; Beräkningsvetenskap;

    Sammanfattning : In the last decades, mathematical and computational models have become ubiquitous to the field of systems biology. Specifically, the multiscale nature of biological processes makes the design and simulation of such models challenging. LÄS MER

  7. 5. Analysis and Applications of the Heterogeneous Multiscale Methods for Multiscale Elliptic and Hyperbolic Partial Differential Equations

    Författare :Doghonay Arjmand; Olof Runborg; Axel Målqvist; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Multiscale Methods; HMM; Multiscale Wave Equation; Multiscale Elliptic Equation; Long Time Wave Propagation; SRA - E-vetenskap SeRC ; SRA - E-Science SeRC ;

    Sammanfattning : This thesis concerns the applications and analysis of the Heterogeneous Multiscale methods (HMM) for Multiscale Elliptic and Hyperbolic Partial Differential Equations. We have gathered the main contributions in two papers. LÄS MER