Doctoral Students
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Ole H. Hald, June 1972, ``On Discrete and Numerical Sturm-Liouville
Problems.''
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Betty Mock, June 1976, ``On Lumping in Finite Element Eigenvalue
Problems.''
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Arthur Shieh, June 1976, ``Fast Poisson Solver in Nonrectangular
Domains.''
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Wlodizimierz Proskurowski, May 1976, (Royal Institute of Technology,
Stockholm, Sweden), ``On the Numerical Solution of Helmholtz's
Equation and the Eigenvalue Problem of the Laplace Operator by the Capacitance
Matrix Method.''
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David Rapoport, October 1978, ``A Nonlinear Lanczos Algorithm and the
Stationary Navier-Stokes Equation.''
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Indu Anand, February 1979, ``Numerical Stability of Nested Dissection
Orderings.''
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Alexander Eydeland, June 1982, ``An Iterative Method of Solving
Nonlinear Variational Problems.''
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Daniel B. Szyld, October 1983, ``A Two-Level Iterative Method for
Large Sparse Generalized Eigenvalue Calculations.''
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Raymond Chan, October 1985, ``Iterative Methods for Overflow Queuing
Models.''
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Thomas DeLillo, October 1985, ``A Comparison of Some Numerical
Conformal Mapping Methods.''
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Ilan Bar-On, October 1988, ``Parallel Algorithms for Band SPD Systems
of Linear Equations.''
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Tarek Mathew, October 1989, ``Domain Decomposition and Iterative
Refinement Methods for Mixed Finite Element Discretisations of Elliptic
Problems.''
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Xiao-Chuan Cai, October 1989, ``Some Domain Decomposition Algorithms
for Nonselfadjoint Elliptic and Parabolic Partial Differential Equations.''
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Barry F. Smith, October 1990, ``Domain Decomposition Algorithms for
the Partial Differential Equations of Linear Elasticity'',
Abstract T.R. 1990-517 ,
Department of Computer Science, Courant Institute.
Full text in pdf.
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Xuejun Zhang, October 1991, ``Studies in Domain Decomposition:
Multi-level Methods and the Biharmonic Dirichlet Problem'',
Abstract T.R. 1991-584 ,
Department of Computer Science, Courant Institute.
Full text in pdf.
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Luca F. Pavarino, October 1992, ``Domain Decomposition Algorithms
for the p-version Finite Element Method for Elliptic Problems'',
Abstract T.R. 1992-616 ,
Department of Computer Science, Courant Institute.
Full text in pdf.
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Hsuanjen Cheng, January 1994, ``Iterative Solution of Elliptic
Finite Element Problems on Partially Refined Meshes and the Effect of Using
Inexact Solvers'',
Abstract T.R. 1994-649
Department of Computer Science, Courant Institute.
Full text in pdf.
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Marcus V. Sarkis, October 1994, ``Schwarz Preconditioners for
Elliptic Problems with Discontinuous Coefficients Using Conforming and
Non-Conforming Elements'',
Abstract T.R. 1994-671 , Department of Computer Science, Courant Institute.
Full text in pdf.
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Axel Klawonn, February 1996, (University of Münster, Germany),
``Preconditioners for Indefinite Problems'',
Abstract T.R. 1996-716 , Department of Computer Science, Courant Institute.
Full text in pdf.
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Mario A. Casarin, June 1996, ``Schwarz Preconditioners for Spectral
and Mortar Finite Element Methods with Applications to Incompressible Fluids'',
Abstract T.R. 1996-717 , Department of Computer Science, Courant Institute.
Full text in pdf..
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Ion Bica, October 1997, ``Iterative Substructuring Algorithms
for the p-version Finite Element Method for Elliptic Problems'',
Abstract T.R. 1997-743 , Department of Computer Science, Courant Institute, September 1997.
Full text in pdf.
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Andrea E. Toselli, June 1999, ``Domain decomposition methods for vector field
problems'',
Abstract T.R. 1999-785,
Department of Computer Science, Courant
Institute, May 1999.
Full text in pdf.
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Dan Stefanica, October 1999, ``Domain Decomposition Methods for
Mortar Finite Elements.'',
Abstract T.R. 2000-804,
Department of Computer Science, Courant
Institute, September 2000.
Full text in pdf.
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Jung-Han Kimn, May 2001, ``Overlapping Schwarz Algorithms using
Discontinuous Iterates for Poisson's Equation'',
Abstract T.R. 2001-817 ,
Department of Computer Science, Courant Institute, May 2001.
Full text in pdf.
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Bernhard Hientzsch, September 2001, ``Fast Solvers and Domain Decomposition Preconditioners
for Spectral Element Discretizations of Problems in H(curl)'',
Abstract T.R. 2001-823 ,
Department of Computer Science, Courant Institute, December 2001.
Full text in pdf.
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Jing Li, September 2002, ``Dual-Primal FETI Methods for Stationary Stokes and Navier-Stokes Equations'',
Abstract T.R. 2002-830 ,
Department of Computer Science, Courant Institute, September 2002.
Full text in pdf.
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Paulo Goldfeld, September 2003, ``Balancing Neumann-Neumann Preconditioners
for Mixed Formulation of Almost-Incompressible Linear Elasticity'',
Abstract T.R. 2003-847 ,
Department of Computer Science, Courant Institute, September 2003.
Full text in pdf.
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Xuemin Tu, January 2006, ``BDDC Domain Decomposition Algorithms: Methods
with Three Levels and for Flow in Porous Media'',
Abstract T.R. 2005-879,
Department of Computer Science, Courant Institute, December 2005.
Full text in pdf.
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Jungho Lee, September 2009, ``A Hybrid Domain Decomposition Method and its
Applications to Contact Problems'',
Abstract T.R. 2009-924,
_Department of Computer Science, Courant Institute, October 2009.
Full text in pdf.
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Jong Ho Lee, January 2011, ``Domain Decomposition Methods for Reissner-Mindlin
Plates Discretized with the Falk-Tu Elements'',
Abstract T.R. 2011-937,
_Department of Computer Science, Courant Institute, February 2011.
Full text in pdf.
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Duk-soon Oh, September 2011, ``Domain Decomposition Methods for Raviart-Thomas Vector Fields'',
Abstract T.R. 2011-942,
_Department of Computer Science, Courant Institute, September 2011.
Full text in pdf.
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Juan Gabriel Calvo, September 2015, ``Domain Decomposition Methods for
Problems in H(curl)'',
Abstract T.R. 2015-974,
_Department of Computer Science, Courant Institute, September 2015.
Full text in pdf.