search query: @supervisor Eirola, Timo / total: 16
reference: 7 / 16
« previous | next »
Author:Quach, Tri
Title:Numerical conformal mappings and capacity computation
Numeeriset konformikuvaukset ja kapasiteettilaskenta
Publication type:Master's thesis
Publication year:2009
Pages:100      Language:   eng
Department/School:Informaatio- ja luonnontieteiden tiedekunta
Main subject:Matematiikka   (Mat-1)
Supervisor:Eirola, Timo
Instructor:Rasila, Antti
Electronic version URL: http://urn.fi/URN:NBN:fi:aalto-201203071355
OEVS:
Electronic archive copy is available via Aalto Thesis Database.
Instructions

Reading digital theses in the closed network of the Aalto University Harald Herlin Learning Centre

In the closed network of Learning Centre you can read digital and digitized theses not available in the open network.

The Learning Centre contact details and opening hours: https://learningcentre.aalto.fi/en/harald-herlin-learning-centre/

You can read theses on the Learning Centre customer computers, which are available on all floors.

Logging on to the customer computers

  • Aalto University staff members log on to the customer computer using the Aalto username and password.
  • Other customers log on using a shared username and password.

Opening a thesis

  • On the desktop of the customer computers, you will find an icon titled:

    Aalto Thesis Database

  • Click on the icon to search for and open the thesis you are looking for from Aaltodoc database. You can find the thesis file by clicking the link on the OEV or OEVS field.

Reading the thesis

  • You can either print the thesis or read it on the customer computer screen.
  • You cannot save the thesis file on a flash drive or email it.
  • You cannot copy text or images from the file.
  • You cannot edit the file.

Printing the thesis

  • You can print the thesis for your personal study or research use.
  • Aalto University students and staff members may print black-and-white prints on the PrintingPoint devices when using the computer with personal Aalto username and password. Color printing is possible using the printer u90203-psc3, which is located near the customer service. Color printing is subject to a charge to Aalto University students and staff members.
  • Other customers can use the printer u90203-psc3. All printing is subject to a charge to non-University members.
Location:P1 Ark T80     | Archive
Keywords:conformal mappings
conformal modulus of a quadrilateral
numerical methods
Schwarz-Christoffel mapping
finite element methods
konformikuvaukset
nelikulmion moduli
numeeriset menetelmät
Schwarz-Christoffelin kuvaus
elementtimenetelmät
Abstract (eng): The purpose of this thesis is to give an introduction to numerical conformal mappings and the computation of a conformal modulus of a quadrilateral.
The theory of conformal mapping is studied because of its connections to physical applications and for its significance in mathematics.
The computational advantage can be gain by conformally mapping a simply connected domain onto the unit disk, the upper half plane, or a rectangle.

On the other hand the capacitance of a condenser can be characterized by the conformal modulus of a quadrilateral.
In this thesis, we give two ways to compute the modulus, namely:.

o Schwarz-Christoffel mappings.

o finite element methods.

The obtained results are compared to each other and to known analytic and reference values from literatures.
Abstract (fin): Tämän diplomityön tarkoituksena on perehdyttää numeerisiin konformikuvauksiin ja nelikulmion konformisen modulin laskentaan.
Konformikuvauksia tutkitaan sekä niiden kytköksistä fysikaalisiin sovellutuksiin, että matemaattisesta tärkeydestä.
Laskennallista etua saavutetaan kuvaamalla konformisesti yhdesti yhtenäinen alue joko yksikkökiekolle, ylemmälle puolitasolle tai suorakaiteelle.

Toisaalta kondensaattorin kapasitanssi voidaan karakterisoida nelikulmion konformisen modulin avulla.
Tässä diplomityössä annamme kaksi tapaa modulin laskemiseen:.

1.
Schwarz-Christoffelin kuvaukset.

2.
Elementtimenetelmät.

Saatuja tuloksia verrataan sekä keskenään, että tunnettuihin kirjallisuuden analyyttisiin ja referenssiarvoihin.
ED:2009-11-27
INSSI record number: 38630
+ add basket
« previous | next »
INSSI