Sökning: "Convergence analysis"

Visar resultat 1 - 5 av 293 avhandlingar innehållade orden Convergence analysis.

  1. 1. Homogenization of Some Selected Elliptic and Parabolic Problems Employing Suitable Generalized Modes of Two-Scale Convergence

    Detta är en avhandling från Östersund : Mittuniversitetet

    Författare :Jens Persson; Mittuniversitetet.; [2010]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; H-convergence; G-convergence; homogenization; multiscale analysis; two-scale convergence; multiscale convergence; elliptic partial differential equations; parabolic partial differential equations; monotone operators; heterogeneous media; non-periodic media; MATHEMATICS Algebra; geometry and mathematical analysis Mathematical analysis; MATEMATIK Algebra; geometri och analys Analys;

    Sammanfattning : The present thesis is devoted to the homogenization of certain elliptic and parabolic partial differential equations by means of appropriate generalizations of the notion of two-scale convergence. Since homogenization is defined in terms of H-convergence, we desire to find the H-limits of sequences of periodic monotone parabolic operators with two spatial scales and an arbitrary number of temporal scales and the H-limits of sequences of two-dimensional possibly non-periodic linear elliptic operators by utilizing the theories for evolution-multiscale convergence and ?-scale convergence, respectively, which are generalizations of the classical two-scale convergence mode and custom-made to treat homogenization problems of the prescribed kinds. LÄS MER

  2. 2. Selected Topics in Homogenization

    Detta är en avhandling från Östersund : Mittuniversitetet

    Författare :Jens Persson; Mittuniversitetet.; [2012]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization theory; H-convergence; two-scale convergence; very weak two-scale convergence; multiscale convergence; very weak multiscale convergence; evolution-multiscale convergence; very weak evolution-multiscale convergence; ?-scale convergence; non-periodic linear elliptic problems; evolution-multiscale linear parabolic problems; evolution-multiscale monotone parabolic problems; detection of scales of heterogeneity;

    Sammanfattning : The main focus of the present thesis is on the homogenization of some selected elliptic and parabolic problems. More precisely, we homogenize: non-periodic linear elliptic problems in two dimensions exhibiting a homothetic scaling property; two types of evolution-multiscale linear parabolic problems, one having two spatial and two temporal microscopic scales where the latter ones are given in terms of a two-parameter family, and one having two spatial and three temporal microscopic scales that are fixed power functions; and, finally, evolution-multiscale monotone parabolic problems with one spatial and an arbitrary number of temporal microscopic scales that are not restricted to be given in terms of power functions. LÄS MER

  3. 3. G-Convergence and Homogenization of some Sequences of Monotone Differential Operators

    Detta är en avhandling från Östersund : Mittuniversitetet

    Författare :Liselott Flodén; Mittuniversitetet.; [2009]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; Homogenization; Multiscale convergence; Two-scale convergence; Monotone opertors; Functional analysis; Partial differential equations; MATHEMATICS Algebra; geometry and mathematical analysis Mathematical analysis; MATEMATIK Algebra; geometri och analys Analys;

    Sammanfattning : This thesis mainly deals with questions concerning the convergence of some sequences of elliptic and parabolic linear and non-linear operators by means of G-convergence and homogenization. In particular, we study operators with oscillations in several spatial and temporal scales. LÄS MER

  4. 4. The Dirac Operator; From Numerics to the Theory of G-convergence

    Detta är en avhandling från Göteborg : University of Gothenburg

    Författare :Hasan Almanasreh; Göteborgs universitet.; Gothenburg University.; [2010]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Dirac operator; spuriousity; cubic Hermitian; stability parameter; G-convergence; ¡-convergence; spectral measure; quadratic form;

    Sammanfattning : We consider two main issues concerning the Dirac operator, the first is widelyknown as the appearance of spurious eigenvalues within the spectrum. The secondis the study of the asymptotic behavior of the eigenvalues for a family ofDirac operators with oscillatory potential added to the Coulomb-Dirac Hamiltonian. LÄS MER

  5. 5. Sequential convergence for functions and operators

    Detta är en avhandling från Östersund : Mitthögskolan

    Författare :Jeanette Silfver; Mittuniversitetet.; [2004]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization; two-scale convergence; G-convergence; H-convergence; partial differential equations; functional analysis; heterogeneous media; MATHEMATICS; MATEMATIK;

    Sammanfattning : The mathematical discipline homogenization theory is closely related to convergence issues. In this thesis different types of convergence are studied and put in relation to each other. We consider the classical concepts of G- and H-convergence and compensated compactness. LÄS MER