Publications

PADMANABHAN SESHAIYER

Books

1. Classical and Modern Numerical Analysis: Theory Methods and Practice , CRC Press, a Taylor & Francis Company, A. Ackleh, R. Kearfott, E. Allen and P. Seshaiyer (2009).
2. Non-conforming hp finite element methods,Ph.D Dissertation, University of Maryland Baltimore County, 1998.

Publications (Journals, Proceedings and Book Chapters)

• ARTICLES IN REFEREED JOURNALS (APPLIED AND COMPUTATIONAL MATHEMATICS)
  1. Multilevel non-conforming finite element methods for coupled fluid-structure interactions , E. Aulisa, S. Garcia, E.Swim and P. Seshaiyer, International Journal of Numerical Analysis and Modeling, Series B, vol 3(3), pp 307-319 (2012)
  2. Multiphysics Modeling and Simulation of Fluid-Structure Interaction applied to biological problems , F. Mihai, I. Youn and P. Seshaiyer, Vol 9, pp 615-623 (2012).
  3. Stability of Membrane Elastodynamics with applications to Cylindrical Aneurysms , A. Samuelson and P. Seshaiyer, Journal of Applied Mathematics, Accepted and In Press (2011).
  4. Stability analysis of inhomogeneous equilibrium for axially and transversely excited nonlinear beam , E. Kaya, E. Aulisa, A. Ibragimov and P. Seshaiyer, Communications on Pure and Applied Analysis, Vol 10(5), pp1447-1462 (2011).
  5. Distributed Computational Methods for Coupled Fluid Structure Thermal Interaction Applications , E. Aulisa, S. Manservisi, P. Seshaiyer, A. Idesman, Journal of Algorithms and Computational Technology , Vol 4(3), pp 291-310 (2010).
  6. A multilevel domain decomposition approach for studying coupled flow application , E. Aulisa, A. Cervone, S. Manservisi and P. Seshaiyer, Communications in Computational Physics, Vol 6, pp 319-341 (2009).
  7. Benchmark problems for wave propagation in elastic materials , A. Idesman, H. Samajder, E. Aulisa and P. Seshaiyer, Computational Mechanics, Vol 43(6), pp 797-814 (2009).
  8. A stability estimate for fluid-structure interaction problem with non-linear beam , E. Kaya, E. Aulisa, A. Ibragimov and P. Seshaiyer, Discrete and Continuous Dynamical System, Supplement, pp 424-432 (2009).
  9. Finite difference methods for coupled flow interaction transport models , S. McGee and P. Seshaiyer, Electronic Journal of Differential Equations, pp. 171-184 (2009).
  10. A computational domain decomposition approach for solving coupled flow-structure-thermal interaction problems , E. Aulisa, S. Manservisi, P. Seshaiyer, Electronic Journal of Differential Equations, pp. 13-31 (2009).
  11. A multilevel domain decomposition approach for solving coupled applications in Computational Fluid Dynamics , E. Aulisa, S. Manservisi and P. Seshaiyer. International Journal for Numerical Methods in Fluids, 56(8): pages 1139-1145 (2008).
  12. A computational methodology to study coupled physical processes over partitioned domains , S. Franklin, P. Seshaiyer and P. Smith, Applied Mathematical Modeling, pp 632-646 (2007).
  13. A nonconforming finite element method for fluid-structure interaction problems , E. Swim and P. Seshaiyer, Computer Methods in Applied Mechanics and Engineering Vol 195, pp 2088-2099 (2006).
  14. A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids , E. Aulisa, S. Manservisi and P. Seshaiyer, Computer Methods in Applied Mechanics and Engineering, Vol 195, 4604-4616 (2006).
  15. A non-conforming computational methodology for modeling coupled problems , E. Aulisa, S. Manservisi and P. Seshaiyer, Nonlinear Analysis, Vol 63 (5-7), 1445-1454 (2005).
  16. A three-field FEM for elliptic partial differential equations driven by stochastic loads , S. Franklin, P. Seshaiyer and P. Smith, Stochastic Analysis & Applns, Vol 23(4), 757-783 (2005).
  17. Intratrophic predation in a simple food chain with a fluctuating nutrient , S.R.J.Jang, J. Baglama and P. Seshaiyer, Discrete & Continuous Dynamical Systems - Series B, Vol 5(2), 335-352 (2005).
  18. Frictional Study of Woven Fabric: Relationship Between Friction and Velocity of Testing , D. Hermann, S. S. Ramkumar, P. Seshaiyer and S. Parameswaran, Journal of Applied Polymer Science, Vol 92, pp 2420-2424 (2004).
  19. Stability and convergence of non-conforming hp finite element methods , P. Seshaiyer, Computers & Mathematics with Applications, Vol 46, pp 165-182 (2003).
  20. Non-conforming computational methods for mixed-elasticity problems , F. B. Belgacem, L. K. Chilton and P. Seshaiyer, Computational Methods in Applied Mathematics, Vol 3 (1), pp 1-12 (2003).
  21. The hp mortar fem for the mixed elasticity and Stokes problems , F. B. Belgacem, L. K. Chilton & P. Seshaiyer, Computers & Mathematics with Applications, Vol 46, pp 35-55 (2003).
  22. A non-conforming finite element method for submeshing , P. Seshaiyer and P. W. Smith, Applied Mathematics and Computation, Vol 139 (1), pp 85-100 (2003).
  23. Experimental study of the frictional properties of friction spun yarns , S. S. Ramkumar, L. Sashtri, R. W. Tock, D. C. Shelly, M. L. Smith and P. Seshaiyer, Journal of Applied Polymer Science, Vol 88(10), pp 2450-2454 (2003).
  24. The hp mortar domain decomposition method for problems in fluid mechanics , L. K. Chilton and P. Seshaiyer, Int. Journal of Numerical Methods in Fluids, Vol 40(12), 1561-1570 (2002).
  25. Uniform hp convergence results for the mortar finite element method , P. Seshaiyer and M. Suri, Mathematics of Computations, Vol 69, pp 521-546 (2000).
  26. hp submeshing via non-conforming finite element methods , P. Seshaiyer and M. Suri, Computer Methods in Applied Mechanics & Engineering, Vol 189(3), pp 1011-1030 (2000).
  27. Optimal convergence rates for hp mortar finite element methods for second-order elliptic problems , F. Ben Belgacem, P. Seshaiyer & M. Suri, RAIRO Mathematical modeling and Numerical Analysis, Vol 34(3), pp 591-608 (2000).
  28. Convergence results for non-conforming hp methods: The mortar finite element method , P. Seshaiyer & M. Suri, Domain Decomposition Methods 10, Contemporary Mathematics, Vol 218, pp 467-473 (1998).
  
  
• ARTICLES IN REFEREED JOURNALS (COMPUTATIONAL BIOMECHANICS)
  1. Numerical Modeling and Analysis of Fluid Structure Interaction in Application to Cerebral Arteries," A. Foster, D. Anderson and P. Seshaiyer, George Mason Review, Accepted and In press, Spring 2011.
  2. Modeling, Analysis and Computation of Fluid-structure interaction models for biological systems , S. Minerva Venuti and P. Seshaiyer, SIAM Undergraduate Research Online, Vol 3, pp 1-17 (2010).
  3. A sub-domain inverse finite element characterization of hyperelastic membranes including soft tissues , P. Seshaiyer & J. D. Humphrey, J. of Biomech. Engg, Vol 125 (3), pp 363-371 (2003).
  4. On the protective role of contact constraints in saccular aneurysms , P. Seshaiyer and Jay D. Humphrey, Journal of Biomechanics, Vol 34, pp 607-612 (2001).
  5. Multiaxial mechanical behavior of human saccular aneurysms , P. Seshaiyer, F. P. K. Hsu, A. D. Shah, S. K. Kyriacou & J. D. Humphrey, Computer Methods in Biomechanics and Biomedical Engineering, Vol 4, pp 281-289 (2001).
  
  
• ARTICLES IN REFEREED JOURNALS (BIOSTATISTICS)
  1. Erratum to Variance in randomized play-the winner clinical trials , P. Seshaiyer, Statistics & Probability Letters, Vol 35 p 240 (1997).
  2. Adaptive survival trials , W. F. Rosenberger & P. Seshaiyer, Journal of Biopharmaceutical Statistics, Vol 7(4) pp 617-624 (1997).
  
  
• ARTICLES IN REFEREED JOURNALS/PROCEEDINGS (MATHEMATICS EDUCATION/OUTREACH/CURRICULUM)
  1. Being an environmentally friendly package engineer , J. Suh, P. Seshaiyer, K. Moore, M. Green, H. Jewell and I. Rice, Teaching Children Mathematics, National Council of Teachers in Mathematics, Volume 20, No. 4, 261-263 (2013).
  2. Transforming Practice Through Undergraduate Research , P. Seshaiyer, Council for Undergraduate Research (CUR) Focus, Fall 2012, Volume 33, Number 1, pp 8-13 (2012).
  3. "The King Has a Really Big Bowl: Mangos and Misconceptions", P. Seshaiyer and P. Freeman, Teaching Children Mathematics, National Coucil of Teachers in Mathematics, Accepted and In Press, To appear (2012)
  4. "Modeling 10-ness", J. Suh and P. Seshaiyer, Teaching Children Mathematics, NCTM, Accepted and In Press, To appear (2012).
  5. Unlocking the locker problem with technology , P. Seshaiyer, J. Suh and P. Freeman, Teaching Children Mathematics, National Council of Teachers of Mathematics, Accepted and In Press, To appear in Nov 2011.
  6. The development of elementary and middle school teachers' algebraic connections through vertical articulation and Lesson Study , Research Report in the Psychology of Mathematics Education, Proceedings of the 33rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA), Accepted and In Press, To appear in Oct 2011.
  7. Student misconceptions caused by misuse of technology , R. Paige, P. Seshaiyer and M. toda, International Journal for Technology in Mathematics Education, Abstract , Vol. 14(4), pp 189-196 (2007).
  8. Calculation across Cultures and History , C.R. Seaquist, P. Seshaiyer and D. Crowley, Texas College Mathematics Journal, Vol 1, 15-31 (2005).
  9. The Professional Master's Degree: A New Option , L. E. Marano, K. Pedersen, P. Seshaiyer and J. Slimowitz, MATH HORIZON, pp 14-18, February (2003).
  
  
• ARTICLES IN REFEREED BOOK CHAPTERS
  1. Coordinate Geometry: History and Development of Curricular Concepts: Algebra, Geometry, Communication, Connections", To appear in Encyclopedia of Mathematics and Society (2011)
  2. Non-conforming finite element methods for nonmatching grids in three dimensions , W. McGee and P. Seshaiyer, Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computer Science and Engineering, Kornhuber et. al. (Eds.), 40, pp 327-334 (2004).
  3. Fluid-Structure interaction using nonconforming finite element methods , E. Swim and P. Seshaiyer, Domain Decomposition Methods in Science and Engineering, Lecture Notes in Computer Science and Engineering, Kornhuber et. al. (Eds.), 40, pp 217-224 (2004).
  4. Computational Modeling of geophysical systems , S. Davenport and P. Seshaiyer, Computational Science and Its Applications, Lecture notes in Computer Science, V. Kumar et. al., 2667, pp 523-532 (2003).
  5. Non-conforming hp mortar finite element methods for Stokes problems, F. Ben Belgacem, L. K. Chilton and P. Seshaiyer, Recent Developments in Domain Decomposition Methods, Lecture notes in Computer Science, 23, pp 133-146 (2002).
  
  
• ARTICLES IN REFEREED PROCEEDINGS
  1. Distributed Computational Methods for Coupled Multi-physics Applications, E. Aulisa, S. Manservisi, P. Seshaiyer, A. Idesman. Proceedings of the 2008 International Symposium on Distributed Computing and Applications for Business Engg. and Science, vol 1, pp 8-15 (2008).
  2. Computational modeling of highly flexible membrane wings in micro air vehicles, L. Ferguson, E. Aulisa, P. Seshaiyer, R. Gordnier, Proceedings of the 47th American Institute of Aeronautics and Astronautics (AIAA) Structures, Structural Dynamics, and Materials Conference, AIAA 2006-1661 , pp 1-12 (2006).
  3. Nonlinear Models for Biologically-Inspired Elastic Membrane Wings, E. Swim and P. Seshaiyer, Proceedings of the 49th American Institute of Aeronautics and Astronautics (AIAA) Structures, Structural Dynamics, and Materials Conference, AIAA 2008-2008 , pp 1-12 (2008).
  4. Applications of non-conforming finite element methods to fluid dynamics, E. Aulisa, S. Manservisi and P. Seshaiyer, Proc. of the European Congress on Computational Methods in Applied Sciences and Engineering, P. Neittaanmaki et. al. (Eds.), Vol 2, pp 1-17 (2004).
  5. A non-conforming computational methodology for modeling coupled problems, E. Aulisa, S. Manservisi and P. Seshaiyer, Proceedings of the World Congress of Nonlinear Analysts, pp 1734-1745 (2004).
  6. Contact constraints and saccular aneurysms, J. D. Humphrey and P. Seshaiyer, In the Proceedings of BED, Vol 50, pp 687-688 (2001).
  
  
• ARTICLES SUBMITTED TO REFEREED JOURNALS (APPLIED AND COMPUTATIONAL MATHEMATICS)
  1. Mathematical and Computational Modeling for 3D Cylindrical Inflation of Fusiform Aneurysms, A. Samuelson and P. Seshaiyer (2011).
  2. Dynamic Compartmental Metal Flow Modeling, M. Angulo and P. Seshaiyer (2011).
  3. Computational Methods for Multi-physics Applications with Fluid-structure Interaction, Kumnit Nong, Eugenio Aulisa, Sonia Garcia, Edward Swim, and P. Seshaiyer (2011)
  
  

MAIL ME :

pseshaiy@gmu.edu