Sökning: "Multiscale Wave Equation"

Hittade 4 avhandlingar innehållade orden Multiscale Wave Equation.

  1. 1. 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

  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. 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

  5. 4. Analysis and Applications of Heterogeneous Multiscale Methods for Multiscale Partial Differential Equations

    Författare :Doghonay Arjmand; Olof Runborg; Marcus Grote; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Numerical homogenization; long time wave propagation; multiscale PDEs; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Sammanfattning : This thesis centers on the development and analysis of numerical multiscale methods for multiscale problems arising in steady heat conduction, heat transfer and wave propagation in heterogeneous media. In a multiscale problem several scales interact with each other to form a system which has variations over a wide range of scales. LÄS MER