Search for dissertations about: "Boundary integral equation"

Showing result 1 - 5 of 39 swedish dissertations containing the words Boundary integral equation.

2. 1. On the modelling of ultrasonic testing using boundary integral equation methods

   Author : Jonathan Westlund; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Boundary element method; Regularization; Ultrasonics; Boundary integral equation method; T matrix.; Elastic waves; Nondestructive testing; Scattering;

   Abstract : Ultrasonic nondestructive testing has important applications in, for example, the nuclearpower and aerospace industries, where it is used to inspect safety-critical parts for flaws.For safe and reliable testing, mathematical models of the ultrasonic measurement systemsare invaluable tools. READ MORE

4. 2. 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

5. 3. On integral equation methods of solution to eddy current interaction problems

   Author : Lars Larsson; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; T matrix; Boundary integral equation; Eddy current; Scattering; Nondestructive evaluation;

   Abstract : The eddy current method is used for nondestructive evaluation of conducting materials. To achieve a greater knowledge and insure safe and reliable evaluation methods, the use of mathematical models and simulations are needed. READ MORE

6. 4. Solution to boundary-contact problems of elasticity in mathematical models of the printing-plate contact system for flexographic printing

   Author : Nikolai Kotik; Yury Shestopalov; Stig Larsson; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; boundary-contact problem; elasticity; integral equation; approximate decomposition; Applied mathematics; Tillämpad matematik; Matematik; Mathematics;

   Abstract : Boundary-contact problems (BCPs) are studied within the frames ofclassical mathematical theory of elasticity and plasticityelaborated by Landau, Kupradze, Timoshenko, Goodier, Fichera andmany others on the basis of analysis of two- and three-dimensionalboundary value problems for linear partial differential equations.A great attention is traditionally paid both to theoreticalinvestigations using variational methods and boundary singularintegral equations (Muskhelishvili) and construction of solutionsin the form that admit efficient numerical evaluation (Kupradze). READ MORE

7. 5. 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