CRPC-94449

Title:    A Short Note Comparing Multigrid and Domain 
          Decomposition for Protein Modeling Equations

Authors:  Michael Holst, Faisal Saied

Date:     May 1994

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Keywords (list up to 8):

   Multigrid, Domain Decomposition, PDE, Elliptic, 
   Protein Modeling, Parallelization.

Abstract:

      We consider multigrid and domain decomposition methods for the
   numerical solution of electrostatics problems arising in biophysics.
   We compare multigrid methods designed for discontinuous coefficients with
   domain decomposition methods, including comparisons of standard multigrid
   methods, algebraic multigrid methods, additive and multiplicative Schwarz
   domain decomposition methods, and acceleration of multigrid and domain
   decomposition methods with conjugate gradient methods.  As a test problem,
   we consider a linearization of the Poisson-Boltzmann equation, which
   describes the electrostatic potential of a large complex biomolecule lying
   in an ionic solvent.

Publication History:

   Submitted to:  Proceedings of the 7th Annual Domain Decomposition Meeting

   Published in: