Publications:

  1. Joseph E. Pasciak and R. D. Sharma, Closed form for the second order Born lineshift integral, Chem. Physd. Letters, 15 (1972), pp. 45-49.
  2. Joseph E. Pasciak and J. Wallace, Compensating for thermal blooming of repetitively pulsed lasers, J. Opt. Sci. Am., 65 (1975).
  3. Joseph E. Pasciak and J. Wallace, Thermal blooming of a rapidly moving laser beam, Applied Optics, 15 (1976), pp. 218-222.
  4.  Joseph E. Pasciak and J. Wallace, Theoretical aspects of thermal blooming compensation, J. Opt. Soc. Am., 67 (1977), pp. 1569-1575.
  5.  Joseph E. Pasciak, The penalty correction method for elliptic boundary value problems, SIAM J. Numer. Anal., 16 (1979), pp. 1046-1059.
  6. Joseph E. Pasciak, Spectral and pseudo spectral methods for advection equations, Math. of Comp., 35 (1980), pp. 1081-1092.
  7. Joseph E. Pasciak, High order time stepping methods of nonlinear evolution equations, Proc. Innovative Numerical Analysis for the Eng. Sci., (1980), pp. 633-642.
  8. Joseph E. Pasciak, MAG3FFT user guide, BNL informal report 30694, (1981).
  9. Joseph E. Pasciak, Spectral methods for a nonlinear initial value problem involving pseudo differential operators, SIAM J. Numer. Anal., 19 (1982). pp. 142-154.
  10. James H. Bramble and Joseph E. Pasciak, A new computational approach for the linearized scalar potential formulation of the magnetostatic field problem, IEEE Trans. on Mag., Mag., 18 (1982), pp. 357-361.
  11. Joseph E. Pasciak, An iterative algorithm for the volume integral method for magnetostatics problems, Comp. and Math. with Appls., 4 (1982), pp. 283-290.
  12. Joseph E. Pasciak, The H-gradient method for magnetostatic field computation, IEEE Trans. on Mag., Mag., 19 (1983), pp. 2344-2347.
  13. James H. Bramble and Joseph E. Pasciak, An efficient numerical procedure for the computation of steady state harmonic currents in flat plates, IEEE Trans. on Mag., Mag., 19 (1983) pp. 2409-2412.
  14. James H. Bramble and Joseph E. Pasciak, Preconditioned iterative methods for non-selfadjoint or indefinite elliptic boundary value problems, Proc. of the Unification of Finite Elem. Methods., (1984), pp. 167-184.
  15. Joseph E. Pasciak, Spectral methods for atmospheric laser calculations, in Spectral Methods for Partial Differential Equations, SIAM, (1984), pp. 217-238.
  16. Joseph E. Pasciak, A new scalar potential formulation of the magnetostatic field problem, Math. Comp.,  43, 168 (1984), pp. 433-445.
  17. Joseph E. Pasciak, Spectral properties for the magnetization integral operator, with M. J. Friedman, Math. Comp.,  43, 168, (1984), pp. 447-453.
  18. James H. Bramble, Joseph E. Pasciak, and A. H. Schatz, An iterative method for elliptic problems on regions partitioned into substructures, Math. Comp., 46 (1986), pp.361-369.
  19. James H. Bramble and Joseph E. Pasciak, A boundary parametric approximation to the linearized scalar potential magnetostatic field problem, (IMACS Applied Num. Math, North Holland, Amsterdam), (1985), pp. 493-514.
  20. James H. Bramble, Joseph E. Pasciak, and A. Schatz, The construction of preconditioners for elliptic problems by substructuring I, Math. Comp., 47 (1986), pp. 103-134.
  21. James H. Bramble, Joseph E. Pasciak, and A. Schatz, The construction of preconditioners for elliptic problems by substructuring II, Math. Comp., 49 (1987).
  22. James H. Bramble and Joseph E. Pasciak, New convergence estimates for multigrid algorithms, Math. Comp., 49 (1987), pp. 311-329.
  23. Joseph E. Pasciak, Domain decomposition preconditioners for elliptic problems in two and three dimensions, Numerical Algorithms for Modern Parallel Computer Architectures (Ed. M. Schultz), IMA Volumes in Mathematics and its Applications, 13, Springer Verlag, New York, (1988), pp 163-172.
  24. James H. Bramble, Richard E. Ewing, Joseph E. Pasciak, and A. H. Schatz, A preconditioning technique for the efficient solution of problems with local grid refinement,  Computer Meth. in App. Mech. and Eng., 67 (1988), pp. 149-159.
  25. Joseph E. Pasciak, Domain decomposition preconditioners for elliptic problems in two and three dimensions; first approach, Proceedings, First International Conference on Domain Decomposition Methods for Partial Differential Equations, (Eds. R. Glowinski, G.H. Golub, G.A. Meurant, J. Periaux), SIAM, Phil. Penn. (1988) pp. 62-72.
  26. James H. Bramble, Joseph E. Pasciak, and A. H. Schatz, The construction of preconditioners for elliptic problems by substructuring III, Math. Comp., 51 (1988) pp.415-430.
  27. James H. Bramble, Joseph E. Pasciak, and J. Xu, The analysis of multigrid algorithms for nonsymmetric and indefinite elliptic problems, Math. Comp., 51 (1988) pp. 389-414.
  28. James H. Bramble and Joseph E. Pasciak, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems, Math. Comp., 50 (1988) pp. 1-18.
  29. James H. Bramble, Joseph E. Pasciak, and A. H. Schatz, The construction of preconditioners for elliptic problems by substructuring IV, Math. Comp., 53 (1989) pp.1-24.
  30. James H. Bramble, Joseph E. Pasciak, P. M. Sammon, and V. Thomee, Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data, Math. Comp., 52 (1989) pp. 339-367.
  31.  Joseph E. Pasciak, Two domain decomposition methods for Stokes problems, in Domain Decomposition Methods (eds. T. Chan, R. Glowinski, J. Periaux and O. Widlund), SIAM, Philadelphia (1989) pp. 419-430.
  32. James H. Bramble, Joseph E. Pasciak, and J. Xu, Parallel multilevel preconditioners, Numerical Analysis 1989, Proceedings of the 13th Dundee Conference, (June 1989), pp. 23-39.
  33. James H. Bramble and Joseph E. Pasciak, A domain decomposition technique for Stokes problems, Applied Numerical Mathematics (A Special Issue), 6 (1990), pp 251--261, (1990).
  34. James H. Bramble, Joseph E. Pasciak, and J. Xu, Parallel multilevel preconditioners, Math. Comp., 55 (1990) pp.1-22.
  35. James H. Bramble, Joseph E. Pasciak, and J. Xu, The analysis of multigrid algorithms with non-nested spaces or non-inherited quadratic forms, Math. Comp., 56 (1991), pp.1-34.
  36. James H. Bramble, Joseph E. Pasciak, J. Wang, and J. Xu, Convergence estimates for multigrid algorithms without regularity assumptions, Math. Comp., 57 (1991), pp. 23-45.
  37. James H. Bramble, Joseph E. Pasciak, J. Wang and J. Xu, Convergence estimates for product iterative methods with applications to domain decomposition, Math. Comp., 57 (1991) pp. 1-21.
  38. Joseph E. Pasciak, P. Lee, and S. Pissanetsky, Parallel computations of magnetic fields, COMPEL--The Inter. Jour. for Comp. and Math. in Electrical and Electronic Eng., 10 (1991), pp. 45-55.
  39. James H. Bramble, Richard E. Ewing, Joseph E. Pasciak, and Rossen Parashkevov, Domain decomposition methods for problems with uniform local refinements in two dimensions, Fourth Inter. Symp. on Domain Decomposition Methods for Partial Differential Equations (Eds., R. Glowinski, Y. Kuznetsov, G. Meurant, J. Periaux, and O. Widlund) SIAM, Phil. PA (1991) pp. 91-100.
  40. James H. Bramble, Joseph E. Pasciak, and J. Xu, A multilevel preconditioner for domain decomposition boundary systems, Proc. 10th Inter. Conf. Comp. Meth. Appl. Sci. Eng., Feb. 11-14, 1991, Paris.
  41. James H. Bramble, Richard E. Ewing, Joseph E. Pasciak, and Rossen Parashkevov, Domain decomposition methods for problems with partial refinement, SIAM J. Sci. Stat. Comput., 18 (1992), pp.397-410.
  42. James H. Bramble and Joseph E. Pasciak, The analysis of smoothers for multigrid algorithms, Math. Comp., 58 (1992), pp. 467-488.
  43. Richard E. Ewing, Raytcho D. Lazarov, Joseph E. Pasciak, and P. S. Vassilevski, Domain decomposition type iterative techniques for parabolic problems on locally refined grids, SIAM J. Numer. Anal., 30(6) (1993) pp. 1537-1557.
  44. Z. Cai, C. I. Goldstein, and Joseph E. Pasciak, Multilevel iteration for mixed finite element systems with penalty, SIAM J. Stat. Sci., 14 (1993), pp. 1072--1088.
  45. James H. Bramble, Z. Leyk, and Joseph E. Pasciak, Iterative schemes for non-symmetric and indefinite elliptic boundary value problems, Math. Comp., 60 (1993) pp. 1-22.
  46. James H. Bramble and Joseph E. Pasciak, New estimates for multilevel algorithms including the V-cycle, Math. Comp., 60 (1993) pp. 447-471.
  47. Michael A. Celia, Richard E. Ewing, Joseph E. Pasciak, Patrick O'Leary, and A. T. Vassilev, Parallelization of multiphase models for contaminant transport in porous media, {Parallel Processing for Scientific Computing, Vol. 1} (R. Sincovec, D. Keyes, M. Leuze, L. Petzold, and D. Reed, eds.), SIAM, Philadelphia, Pennsylvania, (1993), pp. 83-91.
  48. James H. Bramble, Z. Leyk, and Joseph E. Pasciak, Multigrid algorithms for pseudo-differential operators of negative order, Math. Comp., 63, (1994) pp. 461-478.
  49. James H. Bramble and Joseph E. Pasciak, A preconditioned algorithm for eigenvector/eigenvalue computation, BNL Report # 47876.
  50. James H. Bramble, C. I. Goldstein, and Joseph E. Pasciak, Analysis of V-cycle multigrid algorithms for forms defined by numerical quadrature, SIAM Sci. Stat. Comp., 15 (1994) pp. 566-576.
  51. R. B. Marr, Joseph E. Pasciak, and R. F. Peierls, Parallel computation with remote procedure requests using structured messages, (Preprint).
  52. James H. Bramble and Joseph E. Pasciak, Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity, Domain Decomposition methods in science and Engineering, A. Quarteroni, J. Periaux, Y.A. Kuznetsov and O.B. Widlund, Eds, Contemporary Mathematics Series #157, Am. Math. Soc (1994), pp. 17-26.
  53. James H. Bramble, D. Y. Kwak, and Joseph E. Pasciak, Uniform convergence of multigrid V-cycle iteration for indefinite and nonsymmetric problems, SIAM J. Numer. Anal., 31 (1994), pp. 1746-1763, and Sixth Copper Mtn. Conf. on Multigrid Methods, Nasa Conf. Pub. 3224, pp. 43-60.
  54. J. W. Davenport, N. Chetty. R. B. Marr, S. Narisimhan, Joseph E. Pasciak, R. F. Peieirls, and M Weinert, First Principles pseudopotential calculations on aluminum and aluminum alloys, in Alloy Modeling and Design, TMS (The Minerals, Metals & Materials Society), (1994), pp. 3-12.
  55. James H. Bramble and Joseph E. Pasciak, Preconditioning and iterative techniques for time dependent Stokes problems, in Solution Techniques for Large-Scale CFD Problems, (ed., W.G. Habashi), John Wiley & Sons, New York (1995) pp. 201-215.
  56. James H. Bramble and Joseph E. Pasciak, Least-squares methods for Stokes equations based on a discrete minus one inner product, J. Comp. App. Math., 74 (1996) pp. 155-173.
  57. Richard E. Ewing, Raytcho D. Lazarov, Joseph E. Pasciak, and A. T. Vassilev, Mathematical modeling, numerical technique, and computer simulation of flow and transport in porous media, Computational Techniques and Applications: CTAC95, (Eds. R.L. May and A.K. Easton) World Scientific, (1996) pp. 13-30.
  58. James H. Bramble, Richard E. Ewing, Joseph E. Pasciak and Jian Shen, The analysis of multigrid algorithms for cell centered finite difference methods, Advances in Computational Math., 5 (1996) pp.15-29.
  59. James H. Bramble, Joseph E. Pasciak, and Xuejun Zhang, Two-level preconditioners for 2m'th order elliptic finite element problems, East-West Jour. Numer. Math., 4 (1996) pp. 99-120.
  60. James H. Bramble, Andrew V. Knyazev and Joseph E. Pasciak, A subspace preconditioning algorithm for eigenvector/eigenvalue computation, Advances in Comp. Math., 6 (1996) pp.159-189.
  61. James H. Bramble, Joseph E. Pasciak, and A. Vassilev, Analysis of the inexact Uzawa algorithm for saddle point problems, SIAM J. Numer. Anal., 34 (1997) pp. 1072--1092.
  62. James H. Bramble, Joseph E. Pasciak, and Apostol T. Vassilev, Analysis of non-overlapping domain decomposition algorithms with inexact solves , Math. Comp. 66 (1997) pp. 179-196.
  63. James H. Bramble and Joseph E. Pasciak, Iterative techniques for time dependent Stokes problems , Computers Math. Applic., 33 (1997) pp. 13-30.
  64. James H. Bramble, Raytcho D. Lazarov and Joseph E. Pasciak, A least-squares approach based on a discrete minus one inner product for first order systems, Math. Comp., 66 (1997) pp. 935-955.
  65. James H. Bramble, Joseph E. Pasciak and Apostol T. Vassilev, Analysis of the inexact Uzawa algorithm for saddle point problems, SIAM J. Numer. Anal., 34 (1997) pp. 1072-1092.
  66. J.R. Brannan, M.A. Celia, R.E. Ewing, L.S. Johnson, A. Kaulgud, Z. Leyk, J.E. Pasciak and R.C. Sharpley, Integration of contaminant transport simulators on parallel machines with a graphical user interface for remote interactive modeling, Proceedings: High performance computing 1997, grand challenges in computer simulation, Soc. Comp. Simulation Int. (1997) pp. 319--324.
  67. James H. Bramble, Raytcho D. Lazarov, and Joseph E. Pasciak, Least-Squares for Second Order Elliptic Problems, Comput. Methods in Appl. Mech. Engrg. 152 (1998) 195-210.
  68. James H. Bramble, Joseph E. Pasciak and Apostol T. Vassilev, Non-overlapping domain decomposition preconditioners with inexact solves, Domain Decomposition Methods in Science and Engineering Domain Decomposition Press, Bergen, Norway, (1998) pp. 40-52.
  69. James H. Bramble, Joseph E. Pasciak and Apostol T. Vassilev, Inexact Uzawa Algorithms for Nonsymmetric Saddle Point Problems, Siam J. Numer. Anal. 69 (2000) 667-689.
  70. James H. Bramble, Joseph E. Pasciak and Panayot S. Vassilevski, Computational Scales of Sobolev Norms with Application to Preconditioning, Math. Comp. 69 (2000) 463-480.
  71. Jayadeep Gopalakrishnan and Joseph E. Pasciak, Multigrid for the Mortar finite element method, Siam J. Numer. Anal. 37 (2000) 1029-1052.
  72. James H. Bramble, Raytcho D. Lazarov and Joseph E. Pasciak, Least-squares methods for linear elasticity based on a discrete negative norm, Comput. Methods in Appl. Mech. Engrg. 152 (2001) 520-543.
  73. R. Ewing, R. Lazarov, S.L. Lyons, D.V. Papavassiliou, J. Pasciak and G.X. Qin, Numerical Well Model for Non-Darcy Flow, Comp. Geos. 3 (1999) 185-204.
  74. David C. Dobson, Jayadeep Gopalakrishnan, and Joseph E. Pasciak, An efficient method for band structure calculations in 3d photonic crystals, J. Comput. Phys. 161 (2000) 668-679.
  75. Raytcho D. Lazarov, Joseph E. Pasciak and Panayot Vassilevski, Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems, Numer. Linear Algebra Appl. 8 (2001) 13-31.
  76. James H. Bramble, Joseph E. Pasciak, and Olaf Steinbach, On the stability of the L^2-projection in H^1, Math. Comp. 71 2002, 147-156.
  77. Raytcho D. Lazarov, Joseph E. Pasciak and Panayot S. Vassilevski, Coupling mixed and finite volume discretizations of convection-diffusion equations on non-matching grids, Proceedings: Finite Volumes for Complex Applications Hermes Science Publ., Paris 1999.
  78. Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, and Panayot S. Vassilevski, Multiplier spaces for the mortar finite element method in three dimensions SIAM J. Numer. Anal. 39 (2001) 519-538.
  79. Jayadeep Gopalakrishnan and Joseph E. Pasciak, Overlapping Schwarz preconditioners for indefinite Maxwell equations, Math. Comp. 72 2003, 1-16.
  80. David C. Dobson and Joseph E. Pasciak, Analysis of an algorithm for computing electromagnetic Bloch modes using Nedelec spaces, Comp. Math. App. Math. 1 (2001) 138-153.
  81. Raytcho D. Lazarov, Joseph E. Pasciak and Stanimire Z. Tomov, Error control, local grid refinement, and efficient solution algorithms for singularly perturbed problems, in Analytical and Numerical Method for Convection-Dominated and Singularly Perturbed Problems, L.G. Vulkov, J.J.H. Miller, and G.I. Shishkin (eds.) Nova Science Publishers, Inc., (2000), 71-82.
  82. Leszek Demkowicz, Jayadeep Gopalakrishnan, and Joseph E. Pasciak, The analysis of a multigrid algorithm for time harmonic Maxwell equations, SIAM J. Numer. Anal. (Electronically posted: to appear) 42 2005, 90-108.
  83. Constantin Bacuta, James H. Bramble, and Joseph E. Pasciak, Using finite element tools in proving shift theorems for elliptic boundary value problems, Comp. Linear Algebra 10 2003, 33-64.
  84. Constantin Bacuta, James H. Bramble, and Joseph E. Pasciak, New interpolation results and applications to finite element methods for elliptic boundary value problems, East-West J. Numer. Math. 3 (2001) 179-198.
  85. Constantin Bacuta, James H. Bramble, and Joseph E. Pasciak, Shift Theorems For The Biharmonic Dirichlet Problem, Recent Progress in Computational and Applied PDEs Kluwer Academic/Plenum Publishers (to appear).
  86. J.E. Pasciak and J. Zhao, Overlapping Schwarz methods in H (curl) on nonconvex domains, East-West J. Numer. Anal. 10 2002, 221-234.
  87. J.H. Bramble and J.E. Pasciak, A new approximation technique for div-curl systems, Math. Comp. 73 (2004), no. 248, 1739--1762 (electronic).
  88. J.H. Bramble, T. Kolev, and J.E. Pasciak, The approximation of the Maxwell eigenvalue problem using a least-squares method, Math. Comp. 74 (2005), no. 252, 1575--1598 (electronic).
  89. T. Kim, J.E. Pasciak and P.S. Vassilevski, Mesh independent convergece of a modified inexact Newton method for a second order nonlinear problem, Numerical Linear Algebra with Applications 13 (2006) 23-47.
  90. J. Gopalakrishnan and J.E. Pasciak, The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations, Math. Comp. (to appear)
  91. J.H. Bramble and J.E. Pasciak, Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems Math. Comp. (submitted).
  92. J.H. Bramble, T.V. Kolev and J.E. Pasciak, A least-squares method for the time-harmonic Maxwell equations, J. Numer. Math. 13 ,(2005) pp.237-263.
  93. D.M. Copeland and J.E. Pasciak, A least-squares method for axisymmetric div-curl systems, Numerical Linear Algebra with Applications 13 (2006) 733-752.
  94. J.E. Pasciak and Y. Wang, A multigrid preconditioner for the mixed formulation of linear plane elasticity, SIAM J. Numer. Anal. 44 (2006) 478-493.
  95. J.-L. Guermond and J.E. Pasciak, Stability of discrete Stokes operators in fractional Sobolev spaces (to appear: Journal of Mathematical Fluid Mechanics (JMFM)) .
  96. T.V. Kolev, J.E. Pasciak, and P.S. Vassilevski, H(curl) auxiliary mesh preconditioning, (to appear: Num. Linear Alg. App.).
  97. D.M. Copeland, J. Gopalakrishnan and J.E. Pasciak, A Mixed Method for Axisymmetric Div-curl Systems
  98. S. Kim and J.E. Pasciak The computation of resonances in open systems using a perfectly matched layer.
  99. J.H. Bramble and J.E. Pasciak, A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: apriori estimates in H1.
  100. J.H. Bramble and J.E. Pasciak, Analysis of a finite element PML approximation for the three dimensional time-harmonic Maxwell problem
  101. J. E. Pasciak and P. S. Vassilevski, Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions.
  102. J. Gopalakrishnan and J.E. Pasciak, Multigrid convergence for second order elliptic problems with smooth complex coefficients