Aycil Cesmelioglu

Aycil Cesmelioglu

Ph. D. Candidate
Department of Computational and Applied Mathematics
Rice University
6100 Main St - MS 134
Houston, TX, 77005-1892
E-mail: aycil (dot) cesmelioglu (at) rice (dot) edu

Education

	Ph.D., Computational and Applied Mathematics Rice University, Houston, expected May 2010.
	M.A., Mathematics, University of Pittsburgh, Pittsburgh, 2008.

M.S., Mathematics,
Koc University, Istanbul, 2006.

B.S., Mathematics,
Koc University, Istanbul, 2003.

Research Interests

Flow and transport in porous media, multiphase flow, Stokes and Navier-Stokes flow, coupled problems
Finite Element Methods (FEM), discontinuous Galerkin (DG) methods

For more details, see my research statement.

Publications

A. Cesmelioglu, P. Chidyagwai, B. Riviere, "Solution of coupled transport with Navier-Stokes and Darcy equations", in preparation.
A. Cesmelioglu, V. Girault, B. Riviere, "Coupling of time-dependent Navier-Stokes and Darcy flow without the inertial forces on the interface", in preparation.
A. Cesmelioglu, B. Riviere, "Analysis of weak solutions for the fully Coupled Stokes-Darcy-Transport problem", submitted to SIAM Journal on Mathematical Analysis. Also technical report TR09-38, Nov 2009.
A. Cesmelioglu, B. Riviere, "Primal discontinuous Galerkin methods for time-dependent coupled surface and subsurface flow", Journal of Scientific Computing, vol. 40, Numbers 1-3, pp. 115-140, July 2009.
A. Cesmelioglu, B. Riviere, "Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow", Journal of Numerical Mathematics, vol.16, Issue 4, pp. 249-280. December 2008, also technical report TR-MATH 08-17, May 2008.
A. Cesmelioglu, "Banach spaces with the Grothendieck property", Master's thesis, Koc University, 2006.

Presentations and Posters

Analysis and simulation of a multiphysics and a multiphase problem (Scheduled Presentation). AMS Annual Meeting, San Francisco, CA, January 14, 2010
On the Coupled Problem of Navier-Stokes, Darcy and Transport Equations (Scheduled Presentation). SIAM Conference on Analysis of Partial Differential Equations, Miami, Florida, December 7, 2009
A Multiphysics and a Multiphase Problem (Poster). AWM Workshop for Women Graduate Students and Recent PhDs/SIAM Annual Meeting, Denver, CO, July 7, 2009
Origami, Math and Practical Applications (Presentation). Summer Math Days, Rice University, Houston, TX, June 30, 2009
Analysis of Time-dependent Navier-Stokes Flow Coupled with Darcy Flow (Presentation). CAAM Graduate Seminar Talk, Rice University, Houston, TX, November 2008.
Analysis of Time-dependent Navier-Stokes Flow Coupled with Darcy Flow (Presentation). Finite Element Circus Conference, Rennslaer Polytechnic Institute, Troy, NY, October 24, 2008.

Teaching

Instructor, University of Pittsburgh, Department of Mathematics, MATH 0230 Analytic Geometry and Calculus II, Summer 2007
Teaching Assistant, University of Pittsburgh, Department of Mathematics (2005 - 2008)
Teaching Assistant, Koc University, Department of Mathematics (2003 - 2005)

Sites of Interest