Research - Marta D'Elia

Research

Scientific interests:

Numerical Analysis and Scientific Computing
Numerical Partial Differential Equations
Computational Fluid Dynamics
Optimal Control
Nonlocal diffusion problems
Data Assimilation
Biomedical modeling

Current work

Publications:

M. D'Elia, M. Gunzburger, Optimal control for nonlocal diffusion problems, in preparation

M. D'Elia, A. Veneziani, A Bayesian approach to data assimilation for the incompressible Navier-Stokes equations with applications to hemodynamics, submitted

M. D'Elia, Assimilation of velocity data into fluid dynamic simulations, an application to computational hemodynamics, Dissertation thesis, 2011

M. D’Elia, L. Mirabella, T. Passerini, M. Perego, M. Piccinelli, C. Vergara and A. Veneziani, Applications of Variational Data Assimilation in Computational Hemodynamics, Chapter in Modeling of Physiological Flows, Springer, 2011

M. D'Elia, M. Perego, A. Veneziani, A variational data assimilation procedure for the incompressible Navier-Stokes equations in hemodynamics, Journal of Scientific Computing, p. 1-20, November 2011

M. D'Elia, A. Veneziani, A data assimilation technique for including noisy measurements of the velocity field into Navier-Stokes simulations, Proceedings of V European Conference on Computational Fluid Dynamics, ECCOMAS, 2010

M. D'Elia, A. Veneziani, Methods for assimilating blood velocity measures in hemodynamics simulations: preliminary results, Proc. Comp. Science, 2010

M. D'Elia, L. Dedé, A. Quarteroni, Reduced Basis Method for Parametrized Differential Algebraic Equations, Bulletin of the SeMA, 46, p. 45-73, 2009

M. D'Elia, E. Haber, L. Horesh, Design of Proper Orthogonal Decomposition basis by means of nonlinear inversion, in preparation

Invited Talks:

36th SIAM Southeastern Atlantic Section Conference, March 24-25, 2012, University of Alabama in Huntsville, Huntsville, A Bayesian approach to data assimilation for hemodynamics.

SISSA, Trieste, Italia, December 16, 2011. A statistical approach to computational fluid dynamics, an application to computational hemodynamics.

MOX, Modeling and Scientific Computing, Politecnico di Milano, Milano, Italia, December 15, 2011. A statistical approach to computational fluid dynamics, an application to computational hemodynamics.

BCAM, basque center for applied mathematics, Bilbao, Spain, December 5, 2011. A statistical approach to data assimilation for hemodynamics.

EPSRC Workshop: Topics in Control, University of Warwick, Coventry UK, November 30-December 2, 2011. A statistical approach to data assimilation for hemodynamics.

ICIAM 2011, Vancouver, Canada, July 18-22, 2011. Assimilation of noisy velocity measures for the numerical Navier-Stokes equations: a statistical approach.

2nd International Conference on Computational & Mathematical Biomedical Engineering, George Mason University, Washington D.C., March 30-April 1, 2011. A data assimilation procedure for including noisy measurements of blood velocity into hemodynamics simulations

35th SIAM Southeastern Atlantic Section Conference, University of North Carolina, Charlotte, March 26-27, 2011. A variational data assimilation procedure for hemodynamics

BGCE paper prize finalist at SIAM Conference on Computational Science and Engineering, Reno, February 28-March 4, 2011.A variational data assimilation procedure for hemodynamics

Business Analysis and Mathematical Sciences, IBM J. Watson Research Center. September 24, 2010. Design of Proper Orthogonal Decomposition basis by means of nonlinear inversion

Minisymposium on iterative methods for incompressible flows at the Fifth European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2010, Lisbon, Portugal, June 14-17, 2010. An iterative Data Assimilation procedure for including velocity measurements into Navier-Stokes simulations

MPF2010, IV International symposium on Modelling Physiological Flows: Chia Laguna, June 2-5, 2010. A data assimilation technique for hemodynamics

ICCS, International conference on computational science: Amsterdam, The Netherlands, May 31 - June 2, 2010. Methods for assimilating blood velocity measures in hemodynamics simulations: preliminary results

Uncertainty Quantification workshop: ICMS, Edinburgh, UK, May 24-28, 2010. A Data Assimilation technique for including noisy velocity measurements into Navier-Stokes simulations

lifeV developers workshop: CMCS, Lausanne, CH, January 7-8, 2010. A Data Assimilation solver for the Navier-Stokes equations

Research presentation:

SIAM Student Conference 2011, Clemson University, February 19, 2011. M. D'Elia: A well-posedness result for data assimilation in computational fluid dynamics.

Business Analysis and Mathematical Sciences, IBM J. Watson Research Center. July 30, 2010. M. D'Elia: A data assimilation technique for hemodynamics.

Department of Mathematics and Computer Science; Seminar at Scientific Computing meetings, Emory University, Atlanta, November 18, 2009, February 27, 2008

SIAM Gators Student Conference, Gainesville, Florida March 3-5, 2009. M. D'Elia, A. Veneziani: Numerical methods for including measured velocities in an incompressible Stokes simulation

MateDay, Mathematical Modeling in Industrial and Financial groups, Milan, Italy May 21, 2007. M. D'Elia: The Mathematical Engineering Experience

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