HR job title
- Retired Professor
- Contact Info
- 1 979 862 3258
Pasciak, Joseph Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
My research focuses on large scale serial and parallel scientific computation, numerical and iterative methods for partial differential equations, multigrid and domain decomposition methods, electromagnetic problems and mixed finite element methods, and perfectly matched layer far field approximation for scattering problems.
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
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Bonito, A., & Pasciak, J. E.
(2015).
NUMERICAL APPROXIMATION OF FRACTIONAL POWERS OF ELLIPTIC OPERATORS. Mathematics of Computation.
84(295), 2083-2110.
-
Jin, B., Lazarov, R., Pasciak, J., & Rundell, W.
(2015).
VARIATIONAL FORMULATION OF PROBLEMS INVOLVING FRACTIONAL ORDER DIFFERENTIAL OPERATORS. Mathematics of Computation.
84(296), 2665-2700.
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Jin, B., Lazarov, R., Pasciak, J., & Zhou, Z.
(2014).
ERROR ANALYSIS OF A FINITE ELEMENT METHOD FOR THE SPACE-FRACTIONAL PARABOLIC EQUATION. SIAM Journal on Numerical Analysis.
52(5), 2272-2294.
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Bramble, J. H., & Pasciak, J. E.
(2012).
ANALYSIS OF A CARTESIAN PML APPROXIMATION TO THE THREE DIMENSIONAL ELECTROMAGNETIC WAVE SCATTERING PROBLEM. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING.
9(3), 543-561.
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Guermond, J., & Pasciak, J. E.
(2008).
Stability of Discrete Stokes Operators in Fractional Sobolev Spaces. Journal of Mathematical Fluid Mechanics.
10(4), 588-610.
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Copeland, D. M., Gopalakrishnan, J., & Pasciak, J. E.
(2008).
A mixed method for axisymmetric div-curl systems. Mathematics of Computation.
77(264), 1941-1965.
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Gopalakrishnan, J., & Pasciak, J. E.
(2008).
Multigrid convergence for second order elliptic problems with smooth complex coefficients. Computer Methods in Applied Mechanics and Engineering.
197(49-50), 4411-4418.
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Bramble, J. H., & Pasciak, J. E.
(2008).
Analysis of a finite element PML approximation for the three dimensional time-harmonic maxwell problem. Mathematics of Computation.
77(261), 1-10.
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Bramble, J. H., & Pasciak, J. E.
(2007).
Analysis of a finite PML approximation for the three dimensional time-harmonic Maxwell and acoustic scattering problems. Mathematics of Computation.
76(258), 597-614.
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Gopalakrishnan, J., & Pasciak, J. E.
(2006).
The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. Mathematics of Computation.
75(256), 1697-1719.
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Lazarov, R., Pasciak, J., & Qin, G.
(2006).
On the occasion of the sixtieth birthday of Richard E. Ewing. Numerical Linear Algebra with Applications.
13(9), 675-676.
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Bramble, J. H., Kolev, T. V., & Pasciak, J. E.
(2005).
A least-squares approximation method for the time-harmonic Maxwell equations. Journal of Numerical Mathematics.
13(4), 237-263.
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Bramble, J. H., Kolev, T. V., & Pasciak, J. E.
(2005).
The approximation of the Maxwell eigenvalue problem using a least-squares method. Mathematics of Computation.
74(252), 1575-1598.
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Bramble, J. H., Kolev, T. V., & Pasciak, J. E.
(2005).
A least-squares approximation method for the time-harmonic Maxwell equations. East West Journal of Numerical Mathematics.
13(4), 237-263.
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Bramble, J. H., & Pasciak, J. E.
(2004).
A new approximation technique for div-curl systems. Mathematics of Computation.
73(248), 1739-1762.
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Lazarov, R. D., Pasciak, J. E., Schoberl, J., & Vassilevski, P. S.
(2003).
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on non-matching grids. Numerische Mathematik.
96(2), 295-315.
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Gopalakrishnan, J., & Pasciak, J. E.
(2003).
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Mathematics of Computation.
72(241), 1-15.
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Gopalakrishnan, J., & Pasciak, J. E.
(2003).
Overlapping Schwarz preconditioners for indefinite time harmonic maxwell equations. Mathematics of Computation.
71(241), 1-15.
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Bramble, J. H., Pasciak, J. E., & Steinbach, O.
(2002).
On the stability of the L-2 projection in H-1(Omega). Mathematics of Computation.
71(237), 147-156.
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Bramble, J. H., Lazarov, R. D., & Pasciak, J. E.
(2001).
Least-squares methods for linear elasticity based on a discrete minus one inner product. Computer Methods in Applied Mechanics and Engineering.
191(8-10), 727-744.
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Lazarov, R. D., Pasciak, J. E., & Vassilevski, P. S.
(2001).
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Numerical Linear Algebra with Applications.
8(1), 13-31.
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Gopalakrishnan, J., & Pasciak, J. E.
(2001).
Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. Mathematics of Computation.
72(241), 1-15.
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Lazarov, R. D., Pasciak, J. E., & Vassilevski, P. S.
(2001).
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Numerical Linear Algebra with Applications.
8(1), 13-31.
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Kim, C., Lazarov, R. D., Pasciak, J. E., & Vassilevski, P. S.
(2001).
Multiplier spaces for the mortar finite element method in three dimensions. SIAM Journal on Numerical Analysis.
39(2), 519-538.
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Bramble, J. H., Pasciak, J. E., & Vassilevski, P. S.
(2000).
Computational scales of Sobolev norms with application to preconditioning. Mathematics of Computation.
69(230), 463-480.
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Bramble, J. H., Pasciak, J. E., & Vassilev, A. T.
(2000).
Uzawa type algorithms for nonsymmetric saddle point problems. Mathematics of Computation.
69(230), 667-689.
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Ewing, R. E., Lazarov, R. D., Lyons, S. L., Papavassiliou, D. V., Pasciak, J., & Qin, G.
(1999).
Numerical well model for non-Darcy flow through isotropic porous media. Computational Geosciences: modeling, simulation and data analysis.
3(3-4), 185-204.
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Bramble, J. H., Lazarov, R. D., & Pasciak, J. E.
(1998).
Least-squares for second-order elliptic problems. Computer Methods in Applied Mechanics and Engineering.
152(1-2), 195-210.
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Bramble, J. H., Pasciak, J. E., & Vassilev, A. T.
(1998).
Analysis of non-overlapping domain decomposition algorithms with inexact solves. Mathematics of Computation.
67(221), 1-19.
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Bramble, J. H., Lazarov, R. D., & Pasciak, J. E.
(1997).
A least-squares approach based on a discrete minus one inner product for first order systems. Mathematics of Computation.
66(219), 935-955.
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Bramble, J. H., & Pasciak, J. E.
(1997).
Iterative techniques for time dependent Stokes problems. Computers and Mathematics with Applications.
33(1-2), 13-30.
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Bramble, J. H., Pasciak, J. E., & Knyazev, A. V.
(1996).
A subspace preconditioning algorithm for eigenvector/eigenvalue computation. Advances in Computational Mathematics.
6(2), 159-189.
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Bramble, J. H., Pasciak, J. E., & Zhang, X.
(1996).
Two-level preconditioners for 2m'th order elliptic finite element problems. East West Journal of Numerical Mathematics.
4(2), 99-120.
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Pasciak, J. E.
(1995).
The Mathematical Theory of Finite Element Methods (Susanne C. Brenner and L. Ridgway Scott). SIAM Review.
37(3), 472-473.
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BRAMBLE, J. H., GOLDSTEIN, C. I., & PASCIAK, J. E.
(1994).
ANALYSIS OF V-CYCLE MULTIGRID ALGORITHMS FOR FORMS DEFINED BY NUMERICAL QUADRATURE. SIAM Journal on Scientific Computing.
15(3), 566-576.
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EWING, R. E., LAZAROV, R. D., PASCIAK, J. E., & VASSILEVSKI, P. S.
(1993).
DOMAIN DECOMPOSITION TYPE ITERATIVE TECHNIQUES FOR PARABOLIC PROBLEMS ON LOCALLY REFINED GRIDS. SIAM Journal on Numerical Analysis.
30(6), 1537-1557.
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CAI, Z. Q., GOLDSTEIN, C. I., & PASCIAK, J. E.
(1993).
MULTILEVEL ITERATION FOR MIXED FINITE-ELEMENT SYSTEMS WITH PENALTY. SIAM Journal on Scientific Computing.
14(5), 1072-1088.
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BRAMBLE, J. H., EWING, R. E., PARASHKEVOV, R. R., & PASCIAK, J. E.
(1992).
DOMAIN DECOMPOSITION METHODS FOR PROBLEMS WITH PARTIAL REFINEMENT. SIAM Journal on Scientific and Statistical Computing.
13(1), 397-410.
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LEE, P., PASCIAK, J. E., & PISSANETZKY, S.
(1991).
PARALLEL COMPUTATION OF MAGNETIC-FIELDS. Compel: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering.
10(1), 45-55.
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Bramble, J. H., & Pasciak, J. E.
(1984).
Chapter 7 Preconditioned Iterative Methods for Nonselfadjoint or Indefinite Elliptic Boundary Value Problems. North Holland Mathematics Studies.
94(C), 167-184.
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BRAMBLE, J. H., & PASCIAK, J. E.
(1983).
AN EFFICIENT NUMERICAL PROCEDURE FOR THE COMPUTATION OF STEADY-STATE HARMONIC CURRENTS IN FLAT PLATES. IEEE Transactions on Magnetics.
19(6), 2409-2412.
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PASCIAK, J. E.
(1983).
THE H-GRADIENT METHOD FOR MAGNETOSTATIC FIELD COMPUTATIONS. IEEE Transactions on Magnetics.
19(6), 2344-2347.
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BRAMBLE, J. H., & PASCIAK, J. E.
(1982).
A NEW COMPUTATIONAL APPROACH FOR THE LINEARIZED SCALAR POTENTIAL FORMULATION OF THE MAGNETOSTATIC FIELD PROBLEM. IEEE Transactions on Magnetics.
18(2), 357-361.
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Wallace, J., & Pasciak, J.
(1976).
Thermal blooming of a rapidly moving laser beam. 15(1), 218-222.
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Wallace, J., & Pasciak, J.
(1975).
Compensating for thermal blooming of repetitively pulsed lasers. Journal of the Optical Society of America.
65(11), 1257-1257.
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Sharma, R. D., & Pasciak, J.
(1972).
Closed form for the second order born lineshift integral. CHEMICAL PHYSICS LETTERS.
16(1), 45-49.
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Bonito, A., & Pasciak, J. E.
(2015).
NUMERICAL APPROXIMATION OF FRACTIONAL POWERS OF ELLIPTIC OPERATORS. Mathematics of Computation.
84(295), 2083-2110.
-
chapter
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Bonito, A., & Pasciak, J. E.
(2013).
A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition. Springer Proceedings in Mathematics and Statistics.
Iliev, O. P., Margenov, S. D., Minev, P. D., Vassilevski, P. S., & Zikatanov, L. T. (Eds.),
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications.
(pp. 69-79).
Springer Nature.
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Bonito, A., & Pasciak, J. E.
(2013).
A Multigrid Algorithm for an Elliptic Problem with a Perturbed Boundary Condition. Springer Proceedings in Mathematics and Statistics.
Iliev, O. P., Margenov, S. D., Minev, P. D., Vassilevski, P. S., & Zikatanov, L. T. (Eds.),
Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications.
(pp. 69-79).
Springer Nature.
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conference paper
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Jin, B., Lazarov, R., Pasciak, J., & Zhou, Z.
(2013).
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H-s, 0 <= s <= 1. Lecture Notes in Computer Science.
24-37.
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Jin, B., Lazarov, R., Pasciak, J., & Zhou, Z.
(2013).
Galerkin FEM for Fractional Order Parabolic Equations with Initial Data in H-s, 0 <= s <= 1. Lecture Notes in Computer Science.
24-37.
Research
principal investigator on
Teaching
teaching activities
- CSCE660 Comp Linear Algebra Instructor
- MATH417 Numerical Methods Instructor
- MATH491 Hnr-research Instructor
- MATH602 Meth Appl Part Diff Eq Instructor
- MATH609 Numerical Analysis Instructor
- MATH610 Num Meth In Diff Equa Instructor
- MATH639 Iterative Techniques Instructor
- MATH640 Linear Algebra For Appl Instructor
- MATH660 Comp Linear Algebra Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
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Copeland, Dylan Matthew (2006-08). Negative-norm least-squares methods for axisymmetric Maxwell equations.
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Kim, Seungil (2010-01). Analysis of a PML method applied to computation to resonances in open systems and acoustic scattering problems.
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Kim, Taejong (2006-08). Mesh independent convergence of modified inexact Newton methods for second order nonlinear problems.
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Kolev, Tzanio Valentinov (2004-11). Least-squares methods for computational electromagnetics.
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Wang, Yanqiu (2005-11). Preconditioning for the mixed formulation of linear plane elasticity.
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Zhao, Jun (2004-09). Analysis of finite element approximation and iterative methods for time-dependent Maxwell problems.
Background
education and training
- Ph.D. in Mathematics, Cornell University - (Ithaca, New York, United States) 1977
- B.A. in Mathematics, Northeastern University - (Shenyang, China) 1973
awards and honors
- Association of Former Students University-Level Distinguished Achievement Award, The, conferred by Texas A&M University - (College Station, Texas, United States), 2011
- Outstanding Science Communicator Award, conferred by Sigma Xi - (Durham, North Carolina, United States), 2010
- CMMSE Prize, conferred by University of Salamanca - (Salamanca, Castilla y Leon, Spain), 2007
- Highly Cited Researcher, conferred by Thomson Reuters - (New York, New York, United States), 2001
Contact
first name
- Joseph
has last name
- Pasciak
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- joseph-e-pasciak@tamu.edu