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Scholarly Interest Report
         
Adrianna Gillman
Assistant Professor
Assistant Professor of Computational and Applied Mathematics
 
e-mail:Adrianna.Gillman@rice.edu
 
  • Ph.D. Applied Mathematics (2011) University of Colorado, Boulder, Boulder, CO
 
Primary Department
   Department of Computational and Applied Mathematics
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Department Affiliations
 
  • Department of Computational and Applied Mathematics
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    Research Areas
     Scientific computing, numerical methods for linear PDEs, and numerical linear algebra.
     
    Selected Publications
     Refereed articles
     

    A. Gillman, and P. Geldermans "An adaptive high order direct solution technique for elliptic boundary value problems." In Progress

     
     

    Adrianna Gillman (with G. Marple, A. Barnett, and S. Veerapaneni) " A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape ." SIAM Journal of Scientific Computing, 38 (2016) : B740-B772.

     
     

    T. Babb, A. Gillman, S. Hao, and P.G. Martinsson "An accelerated Poisson solver based on multidomain spectral discretization." In Progress

     
    Presentations
     Conference abstracts
     

    "Inverse medium scattering using the Hierarchical Poincaré-Steklov method." Copper Mountain Conference on Iterative Methods, (March 2016)

     
     Invited Talks
     

    " Fast direct solvers as preconditioners for evolved geometries." SIAM Annual Conference, Boston, MA. (July 2016)

     
     

    "An efficient high accuracy direct solution technique for variable coefficient PDEs." International Conference on Spectral and High Order Methods (ICOSAHOM), Rio, Brazil. (June 2016)

     
     

    "An efficient high accuracy direct solution technique for variable coefficient elliptic PDEs." Troisi\'eme Workshop de l'’action strat\'egique INRIA TOTAL “DIP : Depth Imaging Partnership” at Universit\'e de Pau et des Pays de l’Adour, Pau, France. (June 2015)

     
     

    "Integral formulations and fast direct solvers for periodic boundary value problems." Mathematical Foundations for Fast Multi-resolution Interactions and Large Data Analysis, Duke University. (August 2015)

     
     Posters
     

    "An efficient high order accurate discretization solution technique for high frequency Helmholtz problems." IMA Workshop on Mathematical and Numerical Modeling in Optics, (December 2016)

     
     Seminar Speaker
     

    "Fast direct solvers for partial differential equations." Univeristy of Houston, Houston, TX. (April 2015)

     
     Workshops
     

    "A fast direct solver for boundary value problems involving locally perturbed geometries." Purdue Workshop on Fast Direct Solvers, Purdue University. (November 2016)

     
     

    "An efficient high accuracy direct solution technique for variable coefficient elliptic PDEs." INRIA TOTAL “DIP : Depth Imaging Partnership” at TOTAL Houston, Houston, TX. (October 2016)

     
     

    "An efficient high accuracy discretization and direct solution technique for variable coefficient partial differential equations." Rice Oil and Gas HPC Workshop, (March 2016)

     
     

    "The Hierarchical Poincar\'e-Steklov scheme: Oscillatory problems." Oberwolfach Mini-Workshop on Fast Solvers for Highly Oscillatory Problems, Oberwolfach, Germany. (October 2016)