Jay Gopalakrishan, Mathematics
William Hager, Mathematics
Andrew Kurdila, Mech. & Aero. Eng.
Shari Moskow, Mathematics
Wei Shyy, Mech. & Aero. Eng.
Loc Vu-Quoc, Mech. & Aero. Eng.

The conference contains several themes developed around multiscale issues. One focus of this conference is on approximate solutions to partial differential equations which model problems with multiple length scales. The conference brings together researchers from numerical analysis, PDE, and engineering communities who are tackling multiscale difficulties from varying points of view. One main theme of the workshop will be asymptotic methods and homogenization theory, in which analytic techniques are used to resolve and approximate solutions. These asymptotic and homogenization expansions can be used both to develop numerical techniques and to model quite complicated and nonregular materials. Another focus of the conference is on multigrid methods. They have been proven both practically and theoretically to be very efficient solution techniques for a wide variety of discrete systems arising from partial differential equations. While algorithmic advances continue to made in the area of algebraic multigrid, advances in multigrid theory have resulted in new algorithms for difficult problems in electromagnetics and acoustics previously thought unsuitable for multigrid.

  • Approximate solution of PDEs with multiple length scales
  • Multigrid methods
  • Engineering applications including diffractive gratings, oil exploration, medical sensors, new innovations in aerodynamic vehicles
  • A post conference white paper on the state of the art is now available.



    Confirmed speakers


  • Gregoire Allaire (Ecole Poly., France)
       A multiscale finite element method for numerical homogenization

  • Constantin Bacuta (Penn State)
       Applications of multilevel analysis to regularity estimates for PDEs

  • Gang Bao (Michigan State Univ.)
       Direct and Inverse Problems for 3-D Maxwell's Equations

  • Josette Bellan (JPL, NASA)
       Computational-scale reduction for simulations of two-phase flow with phase change: LES using SGS models derived from DNS

  • Leonid Berlyand (Penn State)
       Discrete network approximation for effective properties of high contrast random highly packed solid and fluid composite

  • Eric Bonnetier (Inst. IMAG, France)
       Remarks on the polarization tensor of a composite medium containing close or touching disks

  • Susanne Brenner (Univ. South Carolina)
       Multigrid algorithms for C^0 interior penalty methods

  • Franco Brezzi (Univ. Pavia, Italy)
        Featured lecture

  • Vani Cheruvu (Univ. Colorado at Boulder)
       Adaptive multiwavelet solutions for a class of advection-diffusion equations

  • Bernardo Cockburn (Univ. Minnesota)
       An adaptive method for Hamilton-Jacobi equations

  • Craig Douglas (Univ. Kentucky)
       Using virtual telemetry in dynamic data-driven application simulations

  • Vladimir Druskin (Schlumberger Inc.)
       Optimal finite-difference grids for Neumann-to-Dirichlet problems

  • Yalchin Efendiev (Texas A&M)
       Numerical homogenization of nonlinear partial differential equations

  • Richard Falk (Rutgers)
       Locking free discontinuous Galerkin methods for the Reissner-Mindlin plate without reduced integration

  • Jacob Fish (Rensselaer Poly.)
        Multiscale computational solid mechanics

  • Marc Garbey (Univ. Houston)
       Heterogeneous domain decomposition for boundary layer problems

  • Guillermo Goldstein (Georgia Tech.)
       Perfectly plastic heterogeneous materials

  • Pierre Gremaud (North Carolina State Univ.)
       Numerical methods for multidimensional granular flows

  • Max Gunzburger (Florida State)
       A multi-scale viscosity finite element method for hyperbolic conservation laws

  • Thomas Hughes (Univ. Texas at Austin)
       Variational and multiscale methods in turbulence with particular emphasis on large eddy simulation

  • Guido Kanschat (Univ. Heidelberg, Germany)
       Multi-model preconditioning for radiative transfer in high density regimes

  • Dominique Leguillon (Univ. Pierre et Marie Curie, France)
       A two scale analysis of the failure of a joint between two steel plates

  • Robert Lipton (Lousiana State Univ.)
       Multi-scale stress analysis in composite structures

  • Donatella Marini (Univ. Pavia, Italy)
       Discontinuous Galerkin methods for first-order hyperbolic problems

  • John Osborn (Univ. Maryland)
       Approximation results for the Generalized Finite Element Method

  • Joseph Pasciak (Texas A&M)
       Least-squares approximation of div-curl systems

  • Fernando Reitich (Univ. Minnesota)
       A new high-order high-frequency integral equation method for the solution of wave scattering problems

  • Jie Shen (Purdue)
       Efficient and accurate spectral methods for linear and nonlinear wave equations

  • Wei Shyy (UF)
       Computations of Fluid Flow and Flexible Structure Interaction

  • Faouzi Triki (Michigan State Univ.)
       Resonances for microstrip transmission lines

  • Michael Vogelius (Rutgers)
        Featured lecture

  • Darko Volkov (New Jersey Inst. of Tech.)
       Numerical methods for locating small dielectric inhomogeneities based on asymptotics of perturbed fields and application of selected incoming waves

  • Pieter Wesseling (Delft Univ., The Netherlands)
       A unified computing method for compressible and incompressible flows applied to hydrodynamic cavitation

  • Jinchao Xu (Penn State)
       New numerical techniques for some non-Newtonian flow models

  • Ludmil Zikatanov (Penn State)
       On two level convergence estimates and the convergence of algebraic multigrid method

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    Please direct comments on the website to: Dr. Soonchul Park