A. Bauer and A. Patra, "Performance of Parallel Preconditioners for Adaptive hp FEM Discretization of Incompressible Flows," Communications in Numerical Methods in Engineering.18:305-313, 2002
A. Patra, A. Laszloffy and J. Long, "Data Structures and Load Balancing for Parallel Adaptive hp Finite Element Methods," to appear in Computers an d Mathematics with Applications.
A. Laszloffy, J. Long, A. Patra, "Simple Data Management, Scheduling and Solution Strategies for Managing the Irregularities in Parallel Adaptive hp Finite Element Sim ulations," Parallel Computing, Vol. 26, 2000, pp. 1765-1788.
A. Patra and A. Gupta, "A Systematic Strategy for Simultaneous Adaptive hp Finite Element Mesh Modification Using Nonlinear Programming," to appear in< I> Comp. Method. in App. Mech. and Engineering.
D. deTolla, S. Andreana, A. Patra, R. Buhite and B. Comella, "The Role of FEM in Dental Implants," to appear in J. Oral Implantology, vol. XXVI, no. 2, 2000.
A. Patra J.M. Depaolo, K.S. D'Souza, D. DeTolla and M. Meenaghan, "Analysis and Design Guidelines for Dental Implants," Implant Dentistry, vol. 7, no. 4, 1998.
A. Patra and J.T. Oden, "Computational Techniques for Adaptive hp Finite Element Methods," Finite Elements in Analysis and Design, vol. 25, 1997, pp . 27-39.
P. LeTallec and A. Patra, "Non-overlapping Domain Decomposition Methods for Adaptive hp Approximations of the Stokes Problem with Discontinuous Pressure Fields," Comp. Method. in App. Mech. and Engineering, vol. 145, 1997, pp. 361-379.
J.T. Oden, A.K. Patra and Y.S. Feng, "Parallel Domain Decomposition Solvers for Adaptive hpFinite Element Methods," SIAM Journal for Num. Anal., vol.34, 1997, pp. 2090-2118.
K.S. Bey, A.K. Patra andJ.T. Oden, "A Parallel hp-Adaptive Discontinuous Galerkin method for HyperbolicConservation Laws," Applied Numerical Mathematics., vol. 20, 1996,pp. 321-336.
A.K. Patra and J.T. Oden,"Problem Decomposition Strategies for Adaptive hp Finite ElementMethods," Computing Systems in Engineering, Vol. 6, No. 2, 1995, pp. 97-109.
J.T. Oden and A.K. Patra ,"A Parallel Adaptive Strategy for hp Finite Elements," Comp.Meth. in App. Mech. and Engineering Vol. 121, pp. 449-470, 1995.
K.S. Bey, A.K. Patra andJ.T. Oden, "hp Version Discontinuous Galerkin Methods for HyperbolicConservation Laws: A Parallel Adaptive Strategy," International Journal for Numerical Methods in Engineering, Vol. 38, pp. 3889-3908, 1995.
F.W. Liou, C.W. Shao and A.K.Patra , "A Contact Phase Model for the Analysis of Flexible Mechanisms Under Impact Loading," Computers and Structures, Vol. 49, No. 617-623,1993.
A.K. Patra and F.W. Liou, "Development of An Advisory Expert System for Elastic MechanismDesign," Computers and Structures, Vol. 46, No. 1, pp. 125-132,1993.
Presentations
"Integrated Data Management and Load Balancing for Adaptive Finite Element Schemes," First SIAM Conference on Computational Science and Engineering, Sept. 21-24, 2000.
"On the Development of Large Scale Parallel Adaptive hp Codes," P and HP Finite Elements Conference, St. Louis, 2000.
"Parallel Adaptive hp FEM for Incompressible Flows - Data Structures and Preconditioners," Finite Elements in Flow 2000 Conference, Austin, TX, 2000.
"Finite Element Modeling and Applications to Dental Implants," School of Dental Medicine, University at Buffalo, Buffalo, NY, December 1999.
"Partitioning Adaptive hp Meshes -- Predictive Techniques and Integration with Data Management Schemes," Workshop on Graph Partitioning & Applications: Current and Future Directions, AHPCRC, Minneapolis, MN, October 1999.
"Error Indicators for Lagrangian Methods," Fifth USNCCM, Boulder, CO, August 1999.
"Simulation of Dental Implants Using a Voronoi Tessellation Based Frame Model of Trabecular Bone and p version Finite Elements for Cortical Bone," Mathematics of Finite Elements and Applications, Brunel University, London, UK, June 1999.
"Shape Optimization on a Spool in a Four-Way Hydraulic Servo-Valve Using hp Adaptive Finite Element Methods," 3rd World Congress on Structural and Multidisciplinary Optimization, Amherst, NY, May 1999.
"AFEAPI: Adaptive Finite Elements Application Programmers Interface," IXth SIAM Parallel Processing Conference, San Antonio, TX, March 1999.
"AFEAPI: A Simple Infrastructure for Parallel Adaptive hp FEM Using Self-Organizing Data and Computations," A.K. Patra, J. Long and A. Laszloffy, First Workshop on "Parallel Computing for Irregular Applications," held in conjunction with HIgh Pe rformance Computing Architectures-5, Orlando, FL, January 1999.
"Efficient Mesh Partitioning for Adaptive hp Finite Element Methods," International Conference on Domain Decomposition Methods, Greenwich, U.K., August 1998.
"Optimal Adaptive hp Finite Element Meshes," SIAM Annual Meeting, Toronto, Canada, July 1998.
"Progress on Domain Decomposition Solvers for Adaptive hp Finite Element Meshes," SIAM Annual Meeting, Toronto, Canada, July 1998.
"Finite Element Analysis and Simulation of Dental Implants Including a Novel Model for Trabecular Bone Fatigue," XIIIth U.S. National Congress on Applied Mechanics, Gainesville, FL, June 1998.
"Domain Decomposition Solvers for Transient Incompressible Navier-Stokes Equations," Xth International Conference on Domain Decomposition Methods, Boulder, CO, August 1997.
"Fast Solvers for Adaptive hp Finite Element Methods," VIIIth SIAM Conference on Parallel Processing, Minneapolis, MN, March 1997.
"Newton-Krylov Solvers for Adaptive hp Finite Element Analysis of the Incompressible Navier-Stokes Equations," at IXth International Conference on Domain Decomposition Methods, Bergen, Norway, June 1996.
Theses
A.C. Bauer, Efficient Solution Procedures for Adaptive Finite Element Methods -- Applications to Elliptic Problems (ps, pdf).
J. Long, Integrated Data Management and Dynamic Load Balancing for hp and Generalized FEM.
S. Sanjanwala, Portable and Hybrid Equation Solvers and Dynamic Load Balancing.
A. Laszloffy, AFEAPI: Adaptive Finite Elements Application Programmers Interface.
D.W. Kim, Efficient Partitioning for Adaptive hp Finite Element Meshes.