Search for dissertations about: "second kind integral equation"

Found 3 swedish dissertations containing the words second kind integral equation.

2. 1. Singular Integral Equations: Applications to Elasticity and Numerical Solution

   Author : Jonas Englund; Matematik LTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Datalogi; numerisk analys; system; kontroll; fracture mechanics; second kind integral equation; Nyström scheme; Computer science; control; systems; numerical analysis;

   Abstract : The purpose of this thesis is to develop stable, accurate, and efficient numerical algorithms for the solution of certain problems in materials science using integral equations. All the appearing integral equations are of the second kind. Such equations are typically well suited for numerical solution. READ MORE

4. 2. Modeling of Scattering by Cracks in Anisotropic Solids - Application to Ultrasonic Detection

   Author : Johan Mattsson; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; elastic wave; ultrasonics; crack; integral equations; transducer; anisotropy; scattering; nondestructive testing;

   Abstract : Elastodynamic wave scattering in anisotropic solids with application to ultrasonic nondestructive testing (NDT) is treated and mathematically modeled in this thesis. The scatterers are infinite strip-like cracks and the solids are homogeneous and linearly elastic with negligible damping. READ MORE

5. 3. Partial differential equations and systems related to Morrey spaces

   Author : Maria Alessandra Ragusa; Alexey Karapetyants; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Abstract : This PhD thesis deals with the study of well posedness, existence and regularity properties of solutions of partial differential equations and systems. Preparatory to the study of partial differential equations is the action of some integral operators, that are extensively used. READ MORE