Benjamin Ganis
Research
For a PDF version of my Research Statement, click here.
PhD Thesis
B. Ganis. Multiscale Methods for Stochastic Collocation of Mixed Finite Elements for Flow in Porous Media. PhD Thesis, University of Pittsburgh, 2010. [PDF]
Publications
[4] J.M. Connors and B. Ganis. Uncertainty quantification for a two domain natural convection problem. Submitted, 2010.
[3] B. Ganis, I. Yotov, and M. Zhong. A stochastic mortar mixed finite element method for flow in porous media with multiple rock types. Submitted, 2010. [PDF]
[2] B. Ganis and I. Yotov. Implementation of a Mortar Mixed Finite Element Method using a Multiscale Flux Basis. Computer Methods in Applied Mechanics and Engineering, 198 (2009) 3989-3998. [PDF]
[1] B. Ganis, H. Klie, M. F. Wheeler, T. Wildey, I. Yotov, and D. Zhang. Stochastic collocation and mixed finite elements for flow in porous media. Computer Methods in Applied Mechanics and Engineering, 197 (2008) 3547-3559. [PDF]
Talks
[6] Multiscale methods for stochastic collocation of mixed finite elements for flow in porous media. PhD Thesis Defense, April 8, 2010, Pittsburgh, Pennsylvania. [PDF]
[5] Multiscale Methods for Increased Tractability in Stochastic Collocation for Flow in Porous Media. Talk given at CSRI, Sandia National Laboratory, December 2, 2009, Albuquerque, New Mexico.
[4] Multiscale methods for stochastic collocation of mixed finite elements for flow in porous media. PhD Thesis Overview, August 25, 2009, Pittsburgh, Pennsylvania.
[3] Multiscale Flux Basis Implementation for a Mortar Mixed Finite Element Method and its use in Stochastic Collocation of Flow in Porous Media. Talk given at the SIAM Conference on Computational Science and Engineering (CSE09), March 2-6, 2009, Miami, Florida.
[2] Implementation of a Mortar Mixed Finite Element Method using a Multiscale Flux Basis with Applications to Stochastic Collocation of flow in porous media. Talk given at the Computational Mathematics Seminar, November 4, 2008, at the University of Pittsburgh, Pittsburgh, Pennsylvania.
[1] Implementation of a Mortar Mixed Finite Element Method using a Multiscale Flux Basis. Talk given at Fall 2008 Finite Element Circus, October 24-25, 2008, at Rensselaer Polytechnic Institute, Troy, New York.
Posters
[3] A Stochastic Mortar Mixed Finite Element Method for Flow in Porous Media with Multiple Rock Types. Poster at the 2010 SIAM Annual Meeting (AN10), July 12-16, 2010, Pittsburgh, Pennsylvania.
[2] Stochastic multiscale modeling of flow in porous media. Poster at the 2010 DOE Applied Mathematics Meeting, May 3-5, 2010, Berkeley, California.
[1] Mortar Multiscale Stochastic Numerical Modeling of Flow in Porous Media. Poster at the Workshop on Applied Mathematics Research (AMR08), October 15-17, 2008, Argonne National Laboratory, Argonne, Illinois.