Sökning: "Quadrature domain"

Visar resultat 1 - 5 av 16 avhandlingar innehållade orden Quadrature domain.

  1. 1. Some properties of one and twophase quadrature domains

    Författare :Mahmoudreza Bazarganzadeh; Henrik Shahgholian; Boris Shapiro; Anzdrej Szulkin; Stockholm University Department of Mathematics; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Quadrature domain; Two- phase problems; Uniqueness; Free boundary problem; Level set method; Shape optimization. 2000 MSC: Primary 35R35; Secondary 35B06; 76D27; 49Q10;

    Sammanfattning : .... LÄS MER

  3. 2. Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure

    Författare :Tomas Sjödin; Björn Gustafsson; Stephen Gardiner; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematical analysis; Quadrature Domain; Balayage; Harmonic measure; Martin boundary; Matematisk analys; Mathematical analysis; Analys;

    Sammanfattning : In this thesis, which consists of five papers (A,B,C,D,E), we are interested in questions related to quadrature domains. Among the problems studied are the possibility of changing the type of measure in a quadrature identity (from complex to real and from real signed to positive), properties of partial balayage, which in a sense can be used to generate quadrature domains, and mother bodies which are closely related to inversion of partial balayage. LÄS MER

  4. 3. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods

    Författare :Oana Marin; Anna-Karin Tornberg; Anita Layton; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; boundary integral; Stokes flow; quadrature rule; Ewald decomposition;

    Sammanfattning : Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the three-dimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. LÄS MER

  5. 4. Partial Balayage and Related Concepts in Potential Theory

    Författare :Joakim Roos; Henrik Shahgholian; Björn Gustafsson; Charles Smart; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partial balayage; equilibrium measure; obstacle problem; divisible sandpile; Riemannian manifold; quadrature domain; Laplacian growth; mother body; Mathematics; Matematik;

    Sammanfattning : This thesis consists of three papers, all treating various aspects of the operation partial balayage from potential theory.The first paper concerns the equilibrium measure in the setting of two dimensional weighted potential theory, an important measure arising in various mathematical areas, e.g. LÄS MER

  7. 5. Quadrature rules for boundary integral methods applied to Stokes flow

    Författare :Oana Marin; Anna-Karin Tornberg; Fritz Bark; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computer science; Datavetenskap;

    Sammanfattning :   Fluid phenomena dominated by viscous effects can, in many cases, be modeled by the Stokes equations. The boundary integral form of the Stokes equations reduces the number of degrees of freedom in a numerical discretization by reformulating the threedimensional problem to two-dimensional integral equations to be discretized over the boundaries of the domain. LÄS MER