Sökning: "Quadrature Domain"
Visar resultat 1 - 5 av 16 avhandlingar innehållade orden Quadrature Domain.
1. Some properties of one and twophase quadrature domains
Sammanfattning : .... LÄS MER
2. Topics in Potential Theory: Quadrature Domains, Balayage and Harmonic Measure
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
3. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods
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
4. Partial Balayage and Related Concepts in Potential Theory
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
5. Quadrature rules for boundary integral methods applied to Stokes flow
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