TEACHING:

• Spring 2008
  
  MATH 112 (Section 002) - Discrete Mathematics for BSIT
  
  MATH 686 (Section 001) - Numerical Solution of Differential Equations
  
  

  Fall 2007
  

  MATH 111 (Section 001) - Linear Math Modeling
  

  MATH 685 (Section 001) - Numerical Analysis
  
  

  Teaching Philosophy
  

  "Here is a problem, find the mathematics to solve it" rather than "Here is the mathematics, go solve the problem."
  
  

  Teaching Honors and Awards
  

  2005 President's Excellence in Teaching Award , Texas Tech University
  

  2004 Selected to Who's Who in America.
  

  2004 Inducted into Phi Kappa Phi National Honorary Society , Texas Tech University.
  

  2004 Graduate Professor of the Year, Department of Mathematics and Statistics, Texas Tech University
  

  2004 Outstanding Faculty Member , Mortar Board Senior Honor Society & Omicron Delta Kappa Honor Society, Texas Tech University.
  

  2003 Selected as a Member of the Teaching Academy , Texas Tech University
  

  2003 Alumni Association New Faculty Award , Texas Tech Alumni Association, Texas Tech University
  

  2002 Graduate Professor of the Year, Department of Mathematics and Statistics, Texas Tech University
  

  2002 Tribute to Teachers Outstanding Teacher Award, College of Arts and Sciences and College of Education, Texas Tech University
  

  2002 Nominated for Ex-Students Association New Faculty Award , College of Arts and Sciences Texas Tech University
  

  2001 Fellow of the Texas ProjectNExT : New Experiences in Teaching, Mathematics Association of America, Texas Section

  2000 Fellow of the ProjectNExT: New Experiences in Teaching, Mathematics Association of America.

RESEARCH:

• Research Interests
  
  Computational Mathematics: Numerical Analysis; Numerical Solutions to Partial Differential Equations; Finite Element Methods: Linear and Non-linear Problems, the p and the hp versions, Non-conforming elements; Domain decomposition and numerical algorithms for commercial finite element codes; Structural Mechanics; Fluid-Structure Interaction; Numerical linear algebra for advanced scientific and parallel computing; Stability and Error analysis; Inverse problems.
  
  
  Computational Biomechanics: Membrane mechanics; Constitutive formulations; Inverse finite element methods and parameter estimation; Fluid-structure interaction of blood flow through the arteries; Growth and remodelling.
  
  
  Mathematics Education: Enhancing learning with new technologies; Pedagogical Content Knowledge; Mathematical Modeling for Teachers; Multicultural Education; K-12 Outreach.
  
  

  Research Honors and Grants
  

  2006-09 Mathematical and Computational Modeling of Fluid-Structure-Control Interactions with Multidisciplinary Applications in Science and Engineering, Computational Mathematics, National Science Foundation.
  

  2006-08 REU: Multidisciplinary Summer Undergraduate Research Program in Computation and Control of Biological and Biologically Inspired Systems, Department of Defense (ASSURE) and National Science Foundation (REU) programs.
  

  2006-08 Multidisciplinary Research Program in Computation and Control of Biological Systems, Advanced Research Program-Mathematics, Texas Higher Education Coordinating Board.
  

  2006-07 Texas Tech Summer Mathematics Academy, AMS Epsilon Grants.
  

  2006: American Society for Engineering Education (ASEE) Summer Faculty Fellowship, Air Force Office of Scientific Research.
  

  2005: American Society for Engineering Education (ASEE) Summer Faculty Fellowship, Air Force Office of Scientific Research.
  

  2002-05 Non-conforming hp finite element methods for computational modeling of problems in science and engineering, Computational Mathematics, National Science Foundation.
  

  2002-03 Research Enhancement Grant, College of Arts and Sciences, Texas Tech University.
  

  2001-02 Research Enhancement Grant, College of Arts and Sciences, Texas Tech University.
  
  

  Conference Grants
  

  2003-04 Minisymposium on Mathematical and Computational modeling of Biological Systems
  Applied Mathematics, National Science Foundation
  

  2003-04 Minisymposium on Mathematical and Computational modeling of Biological Systems
  Bioengineering Conference Grant, The Whitaker Foundation
  
  

  Students Directed/Co-Directed (2000-2007)
  

  Ph.D. (E. Swim, S. Franklin, S. Mcgee, W. Mcgee)
  

  M.S. (W. McGee, S. Davenport, D. Hermann, B. Tate, L. Ferguson, V. Moses, K. Kundomal, A. Hinahosa, R. Rajanala, S. Losoha, Y. Su)
  

  M.A. (E. McGinnis - High School Teacher)

  Undergraduate Student Projects (M. Gamel, C. Anaya, S. Alley, R. Anderson, C. Petty, E. McGinnis, J. Ryals)
  

  K-12 High school Student Projects (S. Parameswaran, A. Stoll, B. Heath, K. Litsch, H. Popnoe, N. Michelle, S. Mcgee, A. Bernussi).
  
  

  Selected Peer-Reviewed Publications
  

  Seshaiyer, P. & Suri, M. (2000). hp submeshing via non-conforming finite element methods. Computer Methods in Applied Mechanics and Engineering, 189: 1011-1030.
  

  Seshaiyer, P. & Suri, M. (2000). Uniform hp convergence results for the mortar finite element method. Mathematics of Computations, 69: 521-546.
  

  Ben Belgacem, F., Seshaiyer, P. and Suri, M. (2000). Optimal convergence rates for hp mortar finite element methods for second-order elliptic problems. RAIRO Mathematical modeling & Numerical Analysis, 34: 591-608.
  

  Seshaiyer, P., Hsu, F.P.K., Shah, A.D., Kyriacou, S.K. & Humphrey, J.D. (2001). Multiaxial mechanical behavior or human saccular aneurysms, Computer Methods in Biomechanics and Biomedical Engineering, 4: 281-289
  

  Seshaiyer, P. & Humphrey, J.D. (2001). On the protective role of contact constraints in saccular aneurysms. Journal of Biomechanics, 34: 607-612.
  

  Chilton, L.K. & Seshaiyer, P. (2002). The hp mortar domain decomposition method for problems in fluid mechanics, International Journal of Numerical Methods in Fluids, 40:1561-1570.
  

  Seshaiyer,P.& Humphrey, J.D. (2003). A sub-domain inverse finite element characterization of hyperelastic membranes including soft tissues. ASME Journal of Biomechanical Engineering, 125(3): 363-371.
  

  Seshaiyer, P. (2003). Stability and convergence of non-conforming hp finite element methods. Computers and Mathematics with applications, 46: 165-182.
  

  Belgacem F.B., Chilton L. K. & Seshaiyer, P. (2003). Non-conforming computational methods for mixed-elasticity problems, Computational Methods in Applied Mathematics, 3:1-12.
  

  Morano, L.E., Pedersen, K., Seshaiyer, P. and Slimowitz, J. (2003). The Professional Master's Degree: A New Option, MATH HORIZON, February, Pages14-18.
  

  Hermann, D., Ramkumar, S.S., Seshaiyer, P. and Parameswaran, S. (2004). Frictional study of woven fabric: Relationship between friction and velocity of testing. Journal of Applied Polymer Science, 92(4):2420-2424.
  

  Aulisa, E., Manservisi, S. & Seshaiyer, P. (2005). A non-conforming computational methodology for modeling coupled problems. Nonlinear Analysis, 63: 1445-1454.
  

  Franklin, S.F., Seshaiyer, P. & Smith, P. (2005). A Three-Field Finite Element Method for Elliptic Partial Differential Equations Driven by Stochastic Loads. Stochastic Analysis and Applications, 23(4): 757-784.
  

  Seaquist, C. R., Seshaiyer, P. & Crowley, D. (2005). Calculation across Cultures and History. Texas College Mathematics Journal, 1: 15-31.
  

  Aulisa, E., Manservisi, S. & Seshaiyer, P. (2006). A computational multilevel approach for solving 2D Navier-Stokes equations over non-matching grids. Computer Methods in Applied Mechanics and Engineering, 195: 4604-4616.
  

  Swim, E. & Seshaiyer, P. (2006). A nonconforming finite element method for fluid-Structure interaction problems. Computer Methods in Applied Mechanics and Engineering, 195: 2088-2099.
  

  Paige, R., Toda, M. & Seshaiyer, P. (2007). Student misconceptions caused by misuse of technology. International Journal for Technology in Mathematics Education, Vol. 14, No. 4, p 189-196.
  

  Aulisa, E., Manservisi, S. & Seshaiyer, P. (2008). A multilevel domain decomposition approach for solving coupled applications in Computational Fluid Dynamics. International Journal for Numerical Methods in Fluids, 56(8): 1139-1145.

MAIL ME :

pseshaiy@gmu.edu