Search for dissertations about: "boundary integral equations"

Showing result 1 - 5 of 35 swedish dissertations containing the words boundary integral equations.

2. 1. Boundary integral methods for Stokes flow : Quadrature techniques and fast Ewald methods

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

   Abstract : 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. READ MORE

4. 2. Approximations of Integral Equations for WaveScattering

   Author : Andreas Atle; Björn Engquist; Richard Tsai; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Integral equations; Marching on in time; On surface radiation condition; Physical Optics; Numerical analysis; Numerisk analys;

   Abstract : Wave scattering is the phenomenon in which a wave field interacts with physical objects. An incoming wave is scattered at the surface of the object and a scattered wave is produced. Common practical cases are acoustic, electromagnetic and elastic wave scattering. READ MORE

5. 3. Fast Algorithms for Integral Equations and Least Squares Identification Problems

   Author : Stefan Ljung; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Fast algorithms; Integral equations; Least squares; Identification;

   Abstract : This work is concerned with fast algorithms for integral equations and least squares identification problems.The presentation is divided into three parts. In the first part a fast algorithm for solving systems oflinear equations with a matrix that is alm ost Toeplitz is derived and applied to Fredholm integral equations with stationary kernels. READ MORE

6. 4. Numerical approximations of time domain boundary integral equation for wave propagation

   Author : Andreas Atle; KTH; []
   Keywords : MOT; Marching on in time; boundary integral equations;

   Abstract : Boundary integral equation techniques are useful in thenumerical simulation of scattering problems for wave equations.Their advantage over methods based on partial di.erentialequations comes from the lack of phase errors in the wavepropagation and from the fact that only the boundary of thescattering object needs to be discretized. READ MORE

7. 5. Accurate techniques for 2D electromagnetic scattering

   Author : Imad Akeab; Sven-Erik Sandström; Alexander Nosich; Linnéuniversitetet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Integral equations; method of moments; sparsity; scaling; shadow boundary; B-S;

   Abstract : This thesis consists of three parts. The first part is an introduction and referencessome recent work on 2D electromagnetic scattering problems at high frequencies. It alsopresents the basic integral equation types for impenetrable objects. A brief discussionof the standard elements of the method of moments is followed by summaries of thepapers. READ MORE