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Date: Thu, 21 Nov 1996 19:43:23 GMT
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<HEAD><TITLE> Joseph E. Flaherty</TITLE></HEAD><BODY><P><H2><A NAME=SECTION0004100000000000000> <!WA0><IMG SRC="http://www.cs.rpi.edu/brochure/Faculty/faces/joe.GIF" ALIGN=middle> Joseph E. Flaherty</A></H2><P><I>flaherje@cs.rpi.edu</I><BR>Amos Eaton Professor<BR>Ph.D. Polytechnic Institute of Brooklyn<BR><em>Numerical Analysis, Scientific Computation and Adaptive Methods</em><P>Flaherty came to Rensselaer from New York University in 1973. Sincehis arrival, he has been studying scientific computation and iscurrently investigating adaptive methods for differential equations.He has recently become interested in developing versions of thesemethods that will run on a variety of parallel computers.<P>His goal is developing automatic systems for solving partialdifferential equations. These systems will allow scientists andengineers to describe problems in a natural way, automatically selectappropriate numerical techniques, solve the equations to a prescribedlevel of accuracy, and display the results.<P>His software is adaptive. It can automaticallychange numerical methods and can move, create or destroy finitedifference or finite element meshes while the system is solving theequations and learning more about their properties. Flaherty'stechniques are general, and thus capable of helping engineers confrontand describe phenomena such as stresses in metals, aerodynamics,pollution dispersion in lakes, and temperatures in nuclear reactorvessels.<P>These problems are typical of many practical situations where smallscale structures form, evolve, propagate, and decay during the courseof calculating the solution. Reliable, robust and efficient softwarethat automatically captures and resolves the phenomena as they appearwould be very useful to scientists and engineers who may not know thenature or location of the situation beforehand.<P>His major successes have been in one- and two-dimensional transientsystems. His work relies heavily on the use of computer graphics sothat scientists and engineers can easily specify their problems andvisualize their results. He and fellow researchers are starting toinvestigate adaptive methods for three-dimensional problems andprocedures that are suitable for parallel computers. Embedded datastructures within the adaptive procedures can be exploited to developefficient parallel strategies.<P><!WA1><A NAME=tex2html146 HREF="http://www.cs.rpi.edu/brochure/Faculty/index.html"> <!WA2><IMG SRC=http://www.cs.rpi.edu/icons/up_motif.gif ALIGN=middle> Faculty and Their Research </A>⌨️ 快捷键说明
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