Aycil Cesmelioglu

Aycil Cesmelioglu

Institute for Mathematics and its Applications (IMA)
University of Minnesota
400 Lind Hall
207 Church Street S.E.
Minneapolis, MN 55455-0134
E-mail: aycil.cesmelioglu (at) ima (dot) umn (dot) edu

Employment

Postdoctoral Associate, Institute for Mathematics and its Applications (IMA), Minneapolis,
Sept. 30, 2010 - current

Education

	Ph.D., Computational and Applied Mathematics Rice University, Houston, 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

Numerical analysis of partial differential equations, especially Discontinuous Galerkin (DG) methods, hybridizable DG (HDG) methods, finite element methods (FEM) and their application to flow and transport problems and fluid-structure interaction problem.

Publications

A. Cesmelioglu, B. Riviere, "Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-Transport problem, Journal of Differential Equations, in press. Also technical report TR10--23, Rice University. doi: 10.1016/j.jde.2011.12.001.
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. doi: 10.1007/s10915-009-9274-4.
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, P. Chidyagwai, B. Riviere, "Solution of coupled transport with Navier-Stokes and Darcy equations", submitted.
A. Cesmelioglu, C. Cockburn, N. C. Nguyen, and J. Peraire, "Analysis of HDG methods for Oseen equations", Journal of Scientific Computing, accepted, 2012.
A. Cesmelioglu, V. Girault, B. Riviere, "Time-dependent coupling of Navier-Stokes and Darcy flows", submitted.
A. Cesmelioglu, B. Cockburn, "Analysis of HDG methods for Navier-Stokes equations", in preparation.
S. Brenner, A. Cesmelioglu, J. Cui, L-Y.Sung, "A nonconforming ﬁnite element method for an acoustic ﬂuid-structure interaction problem", in preparation.

Presentations and Posters

Analysis of HDG Methods for the Navier-Stokes Equations (Presentation). 2012 Joint Mathematics Meetings, Boston, MA, Jan. 2012.
Analysis of HDG Methods for the Oseen Equations (Presentation). ICIAM 2011, Vancouver, BC, Canada, July. 2011.
Coupling of Navier-Stokes/Darcy flow with transport (Poster). IMA Workshop: Societally Relevant Computing, Minneapolis, MN, Apr. 2011.
Existence of a weak solution for the fully coupled Navier-Stokes/Darcy-transport problem (Presentation). SIAM Conference on Mathematical & Computational Issues in the Geosciences, Long Beach, CA, Mar. 2011
On the coupling of surface/subsurface flow with transport. IMA Postdoc Seminar, University of Minnesota, Minneapolis, MN, Feb. 2010.
Analysis and simulation of a multiphysics and a multiphase problem (Presentation). AMS Annual Meeting, San Francisco, CA, Jan. 2010
Coupling of surface flow and transport with miscible displacement (Presentation). SIAM Conference on Analysis of Partial Differential Equations, Miami, FL, Dec. 2009
A multiphysics and a multiphase problem (Poster). AWM Workshop for Women Graduate Students and Recent PhDs/SIAM Annual Meeting, Denver, CO, July 2009
Origami, math and practical applications (Presentation). Summer Math Days, Rice University, Houston, TX, Jun. 2009
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow (Presentation). CAAM Graduate Seminar Talk, Rice University, Houston, TX, Nov. 2008.
Analysis of time-dependent Navier-Stokes flow coupled with Darcy flow (Presentation). Finite Element Circus Conference, Rennslaer Polytechnic Institute, Troy, NY, Oct. 2008.

Teaching

Instructor, University of Minnesota, School of Mathematics, MATH 1271 Calculus I, Fall 2011
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