dc.date.accessioned | 2013-03-12T08:04:40Z | |
dc.date.available | 2013-03-12T08:04:40Z | |
dc.date.issued | 2004 | en_US |
dc.date.submitted | 2004-04-29 | en_US |
dc.identifier.citation | Laake, Ida. En prekondisjonert iterativ metode for et ikke-lineært sadelpunktproblem. Hovedoppgave, University of Oslo, 2004 | en_US |
dc.identifier.uri | http://hdl.handle.net/10852/9120 | |
dc.description.abstract | The subject of the text is numerical solutions of partial differential
equations. Solving a PDE numerically involves reducing it to a linear
system of equations. How a PDE can be discretized is discussed, but the
emphasis is on methods for solving linear systems.
Different iterative methods are illustrated on the system originating
from a 2D Poisson equation, and their performances are compared. The
conjugate gradient method is combined with severeal preconditioners to
enhance the method's performance. The aim is to program a method that is
efficent also for large systems of equations. This method is then used in
a program for solving a class of saddlepoint problems.
The purpose of the text is to develop a solver for a non-linear
saddlepoint problem. Discretizing the problem gives us a non-linear
system of equations which can not be solved directly. Newton's method is
applied. In each iteration we must solve a saddlepoint problem of the
kind that is solved earlier. Throughout the text more complex problems
are solved by reducing them to problems that are easier to solve. | nor |
dc.language.iso | nob | en_US |
dc.title | En prekondisjonert iterativ metode for et ikke-lineært sadelpunktproblem | en_US |
dc.type | Master thesis | en_US |
dc.date.updated | 2004-10-13 | en_US |
dc.creator.author | Laake, Ida | en_US |
dc.subject.nsi | VDP::420 | en_US |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft.au=Laake, Ida&rft.title=En prekondisjonert iterativ metode for et ikke-lineært sadelpunktproblem&rft.inst=University of Oslo&rft.date=2004&rft.degree=Hovedoppgave | en_US |
dc.identifier.urn | URN:NBN:no-9927 | en_US |
dc.type.document | Hovedoppgave | en_US |
dc.identifier.duo | 18292 | en_US |
dc.contributor.supervisor | Ragnar Winther | en_US |
dc.identifier.bibsys | 041345118 | en_US |