CURRICULUM VITAE

Jeffrey Todd Borggaard

University Address
Department of Mathematics
McBryde Hall, Virginia Tech
Blacksburg, VA, 24061
An updated PDF File is available.
|Education |Experience |Research Interests |Honors |Professional Societies|
|Teaching Experience |Publications |Presentations |Professional Activities|
Education
B.S. 1986 Worcester Polytechnic Institute Mechanical Engineering
M.S. 1988 Worcester Polytechnic Institute Mechanical Engineering
M.S. 1990 Worcester Polytechnic Institute Applied Mathematics
PhD. 1995 Virginia Tech Mathematics

Experience
1986-1988 Worcester Polytechnic Institute Teaching and Research Assistant
1988-1990 Naval Underwater Systems Center Mechanical Engineer
1991 Cadkey, Inc. Consultant
1990-1994 Virginia Tech Teaching and Research Assistant
1995-1996 Virginia Tech Research Professor
1997-1998 Cornell University Post-Doctoral Associate
1998-2002 Virginia Tech Assistant Professor
2002-2006 Virginia Tech Associate Professor
2003, 2007 (summer) Air Vehicles Directorate of Air Force Research Laboratory Visiting Scientist
2006- Virginia Tech Professor

Research Interests
Honors
Sponsored Research
Professional Societies
Teaching Experience

Worcester Polytechnic Institute: Performed classroom teaching, bi-weekly problem sessions (Machine Design), office hours and grading.

Virginia Tech: Experience with distance learning technology used to broadcast MA4414 and MA5484 to graduate students at Virginia State University and the Northern Virginia Graduate Center. I have experience teaching the following courses:

Supervised several Undergraduate Research Projects:

Supervised several Undergraduate Independent Studies.


Students Supervised

Ph.D. Students

Current Ph.D. Students

Masters Students


Post-Docs Supervised


Publications

Invited Editor on the Following Volumes

Optimal Design and Control, Edited by J.T. Borggaard, J.V. Burkardt, M.D. Gunzburger and J.M. Peterson, Birkhauser, Boston, 1995, xii+286 pages.

Computational Methods for Optimal Design and Control, Edited by J.Borggaard, J. Burns, E. Cliff and S. Schreck, Birkhauser, Boston, 1998, xii+460 pages.

Refereed Journal Articles

Boundary Element Implicit Differentiation Equations for Design Sensitivities of Axisymmetric Structures (with S. Saigal and J.H. Kane), Int. J. Solids Structures, Vol. 25, No. 5, pages 527-538 (1989).

Highly Accurate Evaluation of System Matrices for Curved Boundary Elements (with J.H. Kane and J. Turi), Int. J. Computers Structures, Vol. 40, No. 4, pages 885-892 (1991).

A PDE Sensitivity Equation Method for Optimal Aerodynamic Design (with J. Burns), Journal of Computational Physics, Vol. 136, pages 366-384, (1997).

A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection (with D. Pelletier and É. Turgeon), Numerical Heat Transfer, Part A: Applications, Vol. 38, No. 8, pages 869-885 (2000).

On Efficient Solutions to the Continuous Sensitivity Equation Using Automatic Differentiation (with A. Verma), SIAM Journal on Scientific Computing, Vol. 22, No. 1, pages 39-62 (2001).

Parametric Uncertainty Analysis for Thermal Fluid Calculations (with D. Pelletier and É. Turgeon), Journal of Nonlinear Analysis: Series A, Theory and Methods, Vol. 47, pages 4533-4543 (2001).

Reduced Order Controllers for Burgers' Equation with a Nonlinear Observer (with J. Atwell and B. King), International Journal of Applied Mathematics and Computational Science, Vol. 11, No. 6, pages 1311-1330 (2001).

A General Continuous Sensitivity Equation Formulation for Complex Flows (with É'. Turgeon and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 42, No. 6, pages 485-498 (2002).

A General Continuous Sensitivity Equation Formulation for the k-\epsilon Model of Turbulence (with É. Turgeon and D. Pelletier), International Journal of Computational Fluid Dynamics, Vol. 18, No. 1, pages 29-46 (2004).

Simulating the Fate of Subsurface-Banded Urea (with S.B. Shah and M.L. Wolfe), Nutrient Cycling in Agroecosystems, Vol. 70, pages 47-66 (2004).

A Second-order Sensitivity Equation Method for Laminar Flows (with S. É tienne, J.-N. Mahieu and D. Pelletier), International Journal of Computational Fluid Dynamics, Vol. 19, No. 2, pages 143-157 (2005).

Application of a Sensitivity Equation Method to Turbulent Flows with Heat Transfer (with E. Colin, S. É tienne and D. Pelletier), International Journal of Thermal Sciences, Vol. 44, No. 11, pages 1024-1038 (2005).

A Continuous Sensitivity Equation Method for Time-dependent Incompressible Laminar Flows (with H. Hristova, S. É tienne, and D. Pelletier), International Journal for Numerical Methods in Fluids, Vol. 50, No. 7, pages 871-844 (2006).

A General Sensitivity Equation Formulation for Turbulent Heat Transfer (with E. Colin, S. É tienne and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 49, No. 2, pages 125-153 (2006).

Approximate Deconvolution Boundary Conditions for Large Eddy Simulation (with T. Iliescu), Applied Math Letters, Vol. 19, pages 735-740 (2006).

An Improved Continuous Sensitivity Equation Method for Optimal Shape Design in Mixed Convection (with R. Duvigneau and D. Pelletier), Numerical Heat Transfer: Part B, Fundamentals, Vol. 50, No. 1, pages 1-24 (2006).

Refereed Proceedings and Book Chapters

Computational Fluid Dynamics using Optimum Cray Techniques (with C.A. Wagner, D.C. Brondum, A. Zachary and L.J. Alperi), in Proceedings of the AIAA 9th Computational Fluid Dynamics Conference, Buffalo, NY, pages 353-358, (June 1989).

Sensitivity Calculations for a 2D, Inviscid, Supersonic Forebody Problem (with J. Burns, E. Cliff and M. Gunzburger), in Identification and Control in Systems Governed by Partial Differential Equations, H.T. Banks, R.H. Fabiano and K. Ito editors, SIAM, Philadelphia, pages 14-25, (1993). (Also appeared as ICASE Report No. 93-13)

On Control Design for a Fluid-Structure Interaction Problem (with T.L. Herdman and J. Turi), in Proceedings of the 1993 IEEE Conference on Aerospace Control Systems, pages 236-242 (May 1993).

A Sensitivity Equation Approach for the Optimal Design of Nozzles (with J. Burns), in Proceedings of the AIAA 5th Symposium on Multidisciplinary Analysis and Optimization, pages 232-241, (September 1994).

On an Application of the Boundary Element Method to Study Flow Induced Vibrations (with T.L. Herdman and J. Turi) in Applied Mechanics in the Americas, L.A. Godoy, S.R. Idelsohn, P.A.A. Laura and D.T. Mook editors, Vol 2, Sanre Fi, Argentina, pages 317-321 (January 1995).

On the Presence of Shocks in Domain Optimization of Euler Flows, in Flow Control, M. Gunzburger editor, Springer-Verlag, pages 35-48 (1995).

A Sensitivity Equation Approach to Shape Optimization in Fluid Flows (with J. Burns), in Flow Control, M. Gunzburger editor, Springer-Verlag, pages 49-78 (1995). (Also appeared as ICASE Report No. 94-8)

Algorithms for Flow Control and Optimization (with J. Burkardt, J. Burns, E. Cliff, M. Gunzburger, H. Kim, H. Lee, J. Peterson, A. Shenoy and X. Wu) in Optimal Design and Control, J. Borggaard, J. Burkardt, M. Gunzburger and J. Peterson editors, Birkhauser, pages 97-116 (1995).

On Active Control of Flow Induced Vibrations (with T.L. Herdman and J. Turi) in Proceedings of the 34th IEEE Conference on Decision and Control.
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Computing Design Sensitivities Using an Adaptive Finite Element Method (with D. Pelletier) in Proceedings of the 27th AIAA Fluid Dynamics Conference, AIAA Paper 96-1938, June, 1996.

Asymptotically Consistent Gradients in Optimal Design (with J. Burns), in Proceedings of the Workshop on Multidisciplinary Design Optimization, N. Alexandrov and M. Hussaini editors, SIAM, Philadelphia, pages 303-314, (1997).
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On Optimal Design Using an Adaptive Finite Element Method (with D. Pelletier) in Proceedings of the First International Conference on Nonlinear Problems in Aeronautics and Aerospace, S. Sivasundaram editor, Embry-Riddle Aeronautical University Press, pages 33-40 (1997).

Optimal Shape Design in Forced Convection Using Adaptive Finite Elements (with D. Pelletier) in Proceedings of the 36th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 98-0908 (January 1998).

Observations in Adaptive Refinement Strategies for Optimal Design (with D. Pelletier) in Computational Methods for Optimal Design and Control, J. Borggaard, J. Burns, E. Cliff and S. Schreck editors, Birkhauser, pages 59-76 (1998).

A Continuous Sensitivity Equation Approach to Optimal Design in Mixed Convection (with D. Pelletier and É. Turgeon), in Proceedings of the 1999 AIAA Thermophysics Conference, AIAA Paper Number 99-3625 (June 1999).

A Two-Dimensional Model for Simulating the Fate of Subsurface-Banded Nitrogen (with S. Shah and M.L. Wolfe), in Proceedings of the 1999 ASAE Annual International Meeting, ASAE Paper Number 99-2140 (July 1999).

A Continuous Sensitivity Equation Method for Conduction and Phase Change Problems (with D. Pelletier and J.-F. Hétu), in Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2000-0881 (January 2000).

A Study of Optimal Cooling Strategies in Thermal Processes (with D. Pelletier and É. Turgeon), in Proceedings of the 38th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2000-0563 (January 2000).

Recent Advances in Numerical Techniques for the Design and Analysis of COIL Systems (with W. Eppard, W. McGrory, A. Godfrey and E. Cliff), in Proceedings of the 31st AIAA Plasmadynamics and Lasers Conference, AIAA Paper Number 2000-2576 (June 2000).

A General Continuous Sensitivity Equation Formulation for Complex Flows (with D. Pelletier and É. Turgeon), in Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Design, AIAA Paper Number 2000-4732 (September 2000).

A Continuous Sensitivity Equation Method for Flows with Temperature Dependent Properties (with D. Pelletier and É. Turgeon), in Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Design, AIAA Paper Number 2000-4821 (September 2000).

Sensitivity and Uncertainty Analysis for Variable Property Flows (with D. Pelletier and É. Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0140 (2001).

Adaptivity, Sensitivity and Uncertainty: Towards Standards in CFD (with D. Lacasse, D. Pelletier and É. Turgeon), in Proceedings of the 39th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2001-0192 (2001).

A Sensitivity Equation Method for Conduction and Phase Change Problems (with D. Pelletier), in Nonsmooth/Nonconvex Mechanics: Modeling, Analysis and Numerical Methods, (Nonsmooth Optimization and Applications Series, Volume 45), D. Gao, R. Ogden and G. Stavroulakis, editors, Kluwer Academic, pages 43--68 (2001).

Application of a Sensitivity Equation Method to the k-epsilon Model of Turbulence (with É. Turgeon and D. Pelletier), in Proceedings of the 15th AIAA Computational Fluid Dynamics Conference, AIAA Paper Number 2001-2534 (2001).

A General Continuous Sensitivity Equation Formulation for the k-epsilon Model of Turbulence (with É. Turgeon and D. Pelletier), in Proceedings of the 15th AIAA Computational Fluid Dynamics Conference, AIAA Paper Number 2001-3000 (2001).

Sensitivity Analysis with Sliding Boundary Conditions (with E. Cliff and A. Godfrey), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0100 (2002).

Sensitivity and Uncertainty Analysis for Turbulent Flows (with S. Étienne, D. Pelletier and É. Turgeon), in Proceedings of the 40th AIAA Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2002-0985 (2002).

Reliable Sensitivity Analysis via an Adaptive Sensitivity Equation Method (with D. Pelletier, É. Turgeon and S. Étienne), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2758 (2002).

A Continuous Control Design Method (with J. Burns), in Proceedings of the 3rd Theoretical Fluid Mechanics Meeting, AIAA Paper Number 2002-2989 (2002).

On Sensitivity Analysis for Problems with Numerical Noise (with D. Pelletier and K. Vugrin), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5553 (2002).

Parametric Uncertainty Analysis in a Phase Change Model (with J.-F. Hétu and D. Pelletier), in Proceedings of the 9th AIAA Multidisciplinary Analysis and Optimization Meeting, AIAA Paper Number 2002-5601 (2002).

Second-Order Sensitivity Analysis for Conjugate Phase-Change Problems (with D. Pelletier and C. Winter), in Proceedings of the 41st Aerospace Sciences Meeting and Exhibition, AIAA Paper Number 2003-0512 (2003).

A Second Order Sensitivity Equation Method for Laminar Flows (with S. Étienne, J.-N. Mahieu and D. Pelletier), in Proceedings of the 10th Annual Conference of the CFD Society of Canada, (2003).

Sensitivity Analysis of Transient Non-Linear Heat Conduction (with S. Étienne, H. Hristova, J.-N. Mahieu and D. Pelletier), in Proceedings of the 10th Annual Conference of the CFD Society of Canada, (2003).

A Sensitivity Equation Method for Turbulent Heat Transfer (with E. Colin, S. Étienne and D. Pelletier), in Proceedings of the 36th AIAA Thermophysics Conference, AIAA Paper Number 2003-3636 (2003).

Optimization of an Integrated Actuator Placement and Robust Control Scheme for Distributed Parameter Processes Subject to Worst-Case Spatial Disturbance Distribution (with M. Demetriou), in Proceedings of the 2003 American Control Conference, (2003).

Application of a Sensitivity Equation Method to Transient Non-Linear Heat Conduction (with H. Hristova, S. Etienne and D. Pelletier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-0495 (2004).

Second Order Sensitivity and Uncertainty Analysis of Laminar Airfoil Flows (with J. Mahieu, D. Pelletier and J. Trepanier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-0742 (2004).

Application of a Sensitivity Equation Method to Turbulent Flows with Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), in Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2004-1290 (2004).

Sensitivity Equations for the Design of Control Systems (with J. Vance), in Proceedings of the Sixth IASTED International Conference on Control and Applications, IASTED Paper Number 441-050 (2004).

Computational Challenges in Control of Partial Differential Equations (with J. Burns and L. Zietsman), in Proceedings of the 2nd AIAA Flow Control Conference, AIAA Paper Number 2004-2526 (2004).

Optimization of a joint sensor placement and robust estimation scheme for distributed parameter processes subject to worst case spatial disturbance distributions (with M. Demetriou), in Proceedings of the 2004 American Control Conference (2004).

A Continuous Sensitivity Equation Method for Time-Dependent Incompressible Laminar Flows (with H. Hristova, S. Etienne and D. Pelletier), in Proceedings of the 34th AIAA Fluid Dynamics Conference and Exhibit, AIAA Paper Number 2004-2630 (2004).

On Strong Convergence of Feedback Operators for Non-Normal Distributed Parameter Systems (with J. Burns, E. Vugrin and L. Zietsman), in Proceedings of the 43rd IEEE Conference on Decision and Control, IEEE Paper Number WeA04.5, pages 1526--1531, (2004).

Application of a Sensitivity Equation Method to Turbulent Conjugate Heat Transfer (with E. Colin, S. Etienne and D. Pelletier), in Proceedings of the 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2005-0186 (2005).

Design of Worst Spatial Distribution of Disturbances for a Class of Parabolic Partial Differential Equations (with M. Demetriou), in Proceedings of the 2005 American Control Conference, (2005).

Optimal Shape Design in Mixed Convection using a Continuous Sensitivity Equation Approach (with R. Duvigneau and D. Pelletier), in Proceedings of the 38th AIAA Thermophysics Conference, AIAA Paper Number 2005-4823 (2005).

A Sensitivity Equation Method for Compressible Subsonic Laminar Airfoil Flows (with P. Edmond, D. Pelletier and S. Etienne), in Proceedings of the 23rd AIAA Applied Aerodynamics Conference, AIAA Paper Number 2005-4601 (2005).

A Continuous Second Order Sensitivity Equation Method for Time-Dependent Incompressible Laminar Flows (with F. Ilinca and D. Pelletier), in Proceedings of the 17th AIAA Computational Fluid Dynamics Conference, AIAA Paper Number 2005-5252 (2005).

Application of a Sensitivity Equation Method to Compressible Subsonic Impinging Jets (with P. Edmond, D. Pelletier, S. Etienne, and A. Hay), in Proceeding of the 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper Number 2006-0909 (2006).

Optimal Reduced-Order Modeling for Nonlinear Distributed Parameter Systems, in Proceedings of the 2006 American Control Conference, Paper WeB13.3, 2006.

A Penalty Method Approach to LQR Control for Saddle Point Problems (with M. Stoyanov and L. Zietsman), in Proceedings of the International Conference on Nonlinear Problems in Aviation and Aerospace 2006, to appear.

A Domain Decomposition Approach to POD (with C. Beattie, S. Gugercin and T. Iliescu), in Proceedings of the 45th IEEE Conference on Decision and Control, to appear.

Other Publications

Axisymmetric Boundary Element Design Sensitivity Analysis (with S. Saigal), in Proceedings of the Third International Conference on CAD/CAM, Robotics and Factories of the Future, Southfield, MI (August 1988).

Torpedo Drag Disk Analysis (with M.A. Tucchio, A.D. Carlson, R.A. Lafreniere, R.S. Munn and C.A. Wagner), NUSC Technical Memorandum (TM 881208) (November 1988).

Computational Fluid Dynamics Analysis of Sail-Hull Junction Modifications (with C.A. Wagner, D.C. Brondum and L.S. Langston), NUSC Technical Report (TR 8641) (June 1990).

Iterative Matrix Solvers in Incompressible Computational Fluid Dynamics, NUSC Technical Memorandum (TM 901153) (August 1990).


Presentations

Invited Conference Presentations

Invited Colloquia and Seminars

Other Presentations


Professional Activities

Conferences Organized

Sessions Organized/Co-Organized
last updated, August 2006.
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