Paul Fischer's Publications

• Fischer, P.F., An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations, J. of Comp. Phys. 133 84-101 (1997).
• Gottlieb, D., and Fischer, P.F., On the optimal number of subdomains for hyperbolic problems on parallel computers, Int. J. of Supercomp. Appl. and High Perf. Comp. 11 65-76 (1997).
• Greiner, M., Spencer, G., and Fischer, P.F., Direct numerical simulation of three-dimensional flow and augmented heat transfer in a grooved channel 1996 ASME Natl. Heat Transfer Conf. p. 125-131. (to appear in ASME J. Heat Transfer).
• P.F. Fischer, N.I. Miller and H.M. Tufo, An overlapping Schwarz method for spectral element simulation of three-dimensional incompressible flows, presented at the IMA Workshop on Parallel Solution of Partial Differential Equations, Minneapolis, MN June 1997.
• Tufo, H.M., and Fischer, P.F. Fast Parallel Direct Solvers For Coarse Grid Problems, submitted to J. Par. & Dist. Comput. (Aug. 1997). (also presented in abbreviated form at The 13th Annual Conference of the Intel Supercomputer Users Group, Sandia National Laboratory, Albuquerque, New Mexico, 1997.)
• J.S. Mullen and P.F. Fischer, Filtering techniques for complex geometry fluid flows, Comm. in Num. Meth. in Eng. (to appear).
• Faulkner, R., Greiner, M., Fischer, P.F., and Wirtz, R.A., Direct numerical simulation of three-dimensional flow and heat transfer in a symmetrically grooved channel with constant temperature boundary conditions. to be presented at 1997 ASME Int. Mech. Eng. Congress and Exp., Dallas, TX.
• Gottlieb, S., and Fischer, P.F., A modified conjugate gradient method for the solution of Ax=b based upon b and A^(1/2)b. accepted to J. of Sci. Comput.
• Fischer, P.F., Projection techniques for iterative solution of A x = b with successive right-hand sides., Comp. Meth. Appl. Mech. Engr. (to appear). (also, in revised form, ICASE Report No. 93-90, NASA CR-191571.)
• Fischer, P.F., Parallel multi-level solvers for spectral element methods in Proceedings of Intl. Conf. on Spectral and High-Order Methods '95, Houston, TX, Houston J. of Math., R. Scott, Ed. (1996) p. 595-604.
• Fischer, P.F., Preparata, F.P., and Savage, J.E., Generalized Scans and Tri-Diagonal Systems in Proc. of the 12th Symposium on Theoretical Aspects of Computer Science, p. 168-180, 1995.
• Fischer, P.F., and Venugopal, M., A commercial CFD application on a shared memory multiprocessor using MPI in Parallel Computation Fluid Dynamics: Implementations and Results Using Parallel Computers, A.Ecer, J. Periaux, N. Satofuka, and S. Taylor, eds. Elsevier Sci. B.V. (1995) p. 231-238.
• Fischer, P.F., and Patera, A.T., Parallel Simulation of Viscous Incompressible Flows Ann. Rev. Fluid Mech., Vol 26, (1994) p.483-528.
• Fischer, P.F., Parallel domain decomposition for incompressible fluid dynamics Contemporary Mathematics 157 AMS (1994) p.313-322
• Fischer, P.F., and Rønquist, E.M., Spectral Element Methods for Large Scale Parallel Navier-Stokes Calculations Comp. Meth. Appl. Mech. Engr. 116 69-76 (1994).
• Fischer, P.F., and Patera, A.T.: Parallel Spectral Element Solutions of Eddy-Promoter Channel Flow in Proceedings of the European Research Community On Flow Turbulence and Combustion Workshop, Lausanne Switzerland, Cambridge University Press (1992) pp.246-256.
• M.F. Schatz, R.P. Tagg, H.L. Swinney, P.F. Fischer, and A.T. Patera, Supercritical transition in plane channel flow with spatially periodic perturbations , Phys. Rev. Letters (1991) p.1579-82.
• G. Anagnostou, P. Fischer, Y. Maday, E. Rønquist, and A.T. Patera, Numerical simulation of incompressible fluid flows, Concurrency: Practice and Experience 3(6) pp. 667-685, 1991.
• Fischer, P.F., and Patera, A.T., Parallel Spectral Element Solution of the Stokes Problem, J. Comput. Phys. , 92, (1991) p.380-421.
• Fischer, P.F., Analysis and Application of a Parallel Spectral Element Method for the Solution of the Navier-Stokes Equations, Comp. Meth. Appl. Mech. Engr. 80 (1990) p.483-491.
• Fischer, P.F., Spectral Element Solutions for the Navier-Stokes Equations on High-Performance Distributed Memory Parallel Processors, in Parallel and Vector Computation in Heat Transfer, John Georgiadis, Ed., presented at the 5th AIAA/ASME Thermophysics and Heat Transfer Conference Seattle, WA 1990.
• Fischer, P.F., and Patera, A.T. Parallel Spectral Element Methods for the Incompressible Navier-Stokes Equations, in Solution of Super Large Problems in Computational Mechanics (ed. J.H. Kane and A.D. Carlson), Plenum (1989) p.49-66.
• Fischer, P.F., Rønquist, E.M., and Patera, A.T., Parallel Spectral Element Methods for Viscous Flow in Parallel Supercomputing: Methods, Algorithms and Applications (ed. G. Carey), Wiley, NY, pp. 223-238, 1989.
• Fischer, P.F., Ho, L.W., Karniadakis, G.E., Rønquist,E.M., and Patera, A.T., Recent Advances in Parallel Spectral Element Simulation of Unsteady Incompressible Flows. Computers and Structures , Vol. 30, No 1/2, pp. 217-231, 1988.
• Fischer, P.F., Rønquist, E.M., Dewey, D., and Patera, A.T., Spectral Element Methods: Algorithms and Architectures. in Proc. of the First Int. Symp. on Domain Decomposition Methods for Partial Differential Equations, SIAM, Philadelphia, pp. 173-197,1988.

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