Essays about: "Boundary integral equation"

Showing result 1 - 5 of 7 essays containing the words Boundary integral equation.

1. 1. Development of a cable analysis theory based on integral equation derivation

   University essay from Luleå tekniska universitet/Institutionen för teknikvetenskap och matematik

   Author : Sandra Larsson; [2023]
   Keywords : ;

   Abstract : Electrification of transportation is a major subject of research today, especially in air travel. The increasing number of electronics and cables also increases the interference between them. From this, interest grew to increase the accuracy of electromagnetic modeling of cables. READ MORE

3. 2. Adjoint-based Formulation for Shape Optimization Problems in Computational Fluid Dynamics

   University essay from KTH/Matematik (Avd.)

   Author : Anton Scotte; [2023]
   Keywords : ;

   Abstract : A continuous adjoint formulation for exterior optimization of Dirichlet data on the boundary for potential flow applications has been developed in this thesis. This has been performed by utilizing boundary integral methods for both the primal problem (Laplace’s equation) and for the corresponding adjoint equation (Poisson’s equation) on the unit disc. READ MORE

4. 3. Implementation and study of boundary integral operators related to PDE:s in the plane

   University essay from Lunds universitet/Matematik LTH

   Author : Erik Andersson; [2023]
   Keywords : Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

   Abstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE

5. 4. Finite Element Approximation of a Moving Boundary Problem Arising in the Modeling of the Spin Coating Process for Thin Films

   University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

   Author : Kristos Qiqi; [2020]
   Keywords : Moving boundary; FEM approximation; Navier-Stokes equations; Spin coating;

   Abstract : Using the Navier-Stokes equations along with a continuity equation, a one-dimensional model is developed to describe the spin coating process of thin polymeric films. The resulting model is a system of a parabolic partial differential equation coupled with an integral equation as well as with an ordinary differential equation describing the motion of a moving boundary. READ MORE

6. 5. Analysis and Implementation of an Age Structured Model of the Cell Cycle

   University essay from Lunds universitet/Matematik LTH

   Author : Anna Broms; [2017]
   Keywords : age structured model; cell cycle; cell population dynamics; nonlinear integral equations; Romberg s method; Mathematics and Statistics;

   Abstract : In an age-structured model originating from cancer research, the cell cycle is divided into two phases: Phase 1 of variable length, consisting of the biologically so called G1 phase, and Phase 2 of fixed length, consisting of the so called S, G2 and M phases. A system of nonlinear PDEs along with initial and boundary data describes the number densities of cells in the two phases, depending on time and age (where age is the time spent in a phase). READ MORE