NDLI: Discussion summary: fictitious domain methods

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Discussion summary: fictitious domain methods

Content Provider	NASA Technical Reports Server (NTRS)
Author	Rodrigue, Garry Glowinski, Rowland
Copyright Year	1991
Description	Fictitious Domain methods are constructed in the following manner: Suppose a partial differential equation is to be solved on an open bounded set, Omega, in 2-D or 3-D. Let R be a rectangle domain containing the closure of Omega. The partial differential equation is first solved on R. Using the solution on R, the solution of the equation on Omega is then recovered by some procedure. The advantage of the fictitious domain method is that in many cases the solution of a partial differential equation on a rectangular region is easier to compute than on a nonrectangular region. Fictitious domain methods for solving elliptic PDEs on general regions are also very efficient when used on a parallel computer. The reason is that one can use the many domain decomposition methods that are available for solving the PDE on the fictitious rectangular region. The discussion on fictitious domain methods began with a talk by R. Glowinski in which he gave some examples of a variational approach to ficititious domain methods for solving the Helmholtz and Navier-Stokes equations.
File Size	125387
Page Count	2
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19920002512
Archival Resource Key	ark:/13960/t1dk0bh3z
Language	English
Publisher Date	1991-08-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Navier-stokes Equation Algorithms Partial Differential Equations Rectangles Parallel Computers Computer Systems Performance Problem Solving Iteration Decomposition Parallel Processing Computers Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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