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Please answer the following:
1. Name of conference
2. Type of Presentation
Contributed: Lecture form or Poster form
Minisymposium:
3. Equipment for Visual Support
Lecture form/Minisymposium: Overhead Projector or
2" x 2" Slide Projector (35mm)
Poster form: Easel or Poster Board
4. If you are a speaker in a minisymposium, who is the organizer?
5. What is the minisymposium title?
6. If more than one author, who will present the paper?
%This is a macro file for creating a SIAM Conference abstract in
% Plain Tex.
%
% If you have any questions regarding these macros contact:
% Lillian Hunt
% SIAM
% 3600 University City Center Center
% Philadelphia, PA 19104-2688
% USA
% (215) 382-9800
% e-mail:meetings@siam.org
\hsize=25.5pc
\vsize=50pc
\parskip=3pt
\parindent=0pt
\overfullrule=0pt
\nopagenumbers
\def\title#1\\{\bf{#1}\vskip6pt}
\def\abstract#1\\{\rm {#1}}
\def\author#1\\{\vskip6pt\rm {#1}\vfill\eject}
\def\eol{\hfill\break}
% end of style file
% This is ptexconf.tex. Use this file as an example of a SIAM
% Conference abstract in plain TeX.
\input ptexconf.sty
\title Numerical Analysis of a 1-Dimensional
Immersed-Boundary Method\\
\abstract We present the numerical analysis of a simplified,
one-dimensional version
of Peskin's immersed boundary method, which has been used to
solve
the two- and three-dimensional Navier-Stokes equations in the
presence of immersed boundaries. We consider the heat
equation
in a finite domain with a moving source term.
We denote the solution as $u(x,t)$ and the location of the
source
term as $X(t)$. The source term is a moving delta function
whose strength is a function of u at the location of the
delta function.
The p.d.e. is coupled to an ordinary differential equation
whose
solution gives the location of the source term.
The o.d.e. is $X'(t) = u(X(t),t)$, which can be interpreted as
saying the source term moves at the local velocity.
The accuracy the numerical method of solution depends on how
the
delta function is discretized when the delta function is not
at
a grid point and on how the solution, u, is represented
at locations between grid points. We present results showing
the effect of different choices of spreading the source to
the grid and
of restricting the solution to the source location.
The problem we analyze is also similar to the Stefan problem
and
the immersed-boundary method has features in common with
particle-in-cell
methods.\\
\author\underbar{Richard P. Beyer, Jr.}\eol
University of Washington, Seattle, WA\eol
%\vskip3pt
Randall J. LeVeque\eol
University of Washington, Seattle, WA\\
\bye
% end of example file
Please furnish complete addresses for all co-authors.
PLEASE BE SURE TO INDICATE WHAT CONFERENCE THE ABSTRACT IS FOR.
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