caliente-bib.bib

@INPROCEEDINGS{Akcelic02,
  AUTHOR = {Volkan Akcelik and George Biros and Omar
Ghattas},
  TITLE = {Parallel Multiscale Gauss-Newton-Krylov Methods for Inverse
Wave Propagation},
  BOOKTITLE = {Proceedings of SC2002},
  YEAR = {2002},
  ADDRESS = {Baltimore},
  MONTH = {November},
  ORGANIZATION = {IEEE/ACM},
  PDF = {http://www.cs.cmu.edu/~oghattas/papers/sc2002.pdf},
  ABSTRACT = {One of the
outstanding challenges of computational science and engineering is large-scale
parameter estimation of systems governed by partial differential
equations. These are known as inverse problems, in contradistinction to the
forward problems that usually characterize large-scale simulation. Inverse
problems are significantly more difficult to solve than forward problems, due
to ill-posedness, large dense ill-conditioned operators, multiple minima,
space-time coupling, and the need to solve the forward problem repeatedly. We
present a parallel algorithm for inverse problems governed by time-dependent
PDEs, and scalability results for an application in inverse heterogeneous wave
propagation. The difficulties mentioned above are addressed through a
combination of total variation regularization, preconditioned matrix-free
Gauss-Newton-Krylov iteration, checkpointing, and multiscale continuation. We
are able to solve an inverse problem of wave propagation though a pelvic bone
structure involving two million inversion parameters in 3 hours on 256
processors of the Terascale Computing System at the Pittsburgh Supercomputing
Center. },
  NOTE = {SC2002 Best Technical Paper Award}
}


@ARTICLE{AkcelikBirosGhattasLongVanBloemenWaanders2003,
  AUTHOR = {Akcelik
V. and Biros G. and Ghattas O. and Long K. and van Bloemen Waanders B.},
  TITLE = {A variational finite element method for source inversion of contaminant
transport processes},
  JOURNAL = {Finite Elements in Analysis and Design},
  VOLUME = {39},
  PAGES = {683--705},
  MONTH = {May},
  YEAR = {2003}
}


@TECHREPORT{SSCollis_MHeinkenschloss_2002a,
  AUTHOR = {S. S. Collis and
M. Heinkenschloss},
  TITLE = {{Analysis of the Streamline Upwind/Petrov Galerkin
Method Applied to the Solution of Optimal Control Problems}},
  INSTITUTION = {Department of Computational and Applied Mathematics},
  ADDRESS = {Rice
University, Houston, TX 77005--1892},
  NUMBER = {TR02--01},
  YEAR = {2002},
  URL = {http://www.caam.rice.edu/~heinken},
  ABSTRACT = {We study the effect of the
streamline upwind/Petrov Galerkin (SUPG) stabilized finite element method on
the discretization of optimal control problems governed by linear
advection-diffusion equations. We compare two approaches for the numerical
solution of such optimal control problems. In the discretize-then-optimize
approach the optimal control problem is first discretized, using the SUPG
method for the discretization of the advection-diffusion equation, and then the
resulting finite dimensional optimization problem is solved. In the
optimize-then-discretize approach one first computes the infinite dimensional
optimality system, involving the advection-diffusion equation as well as the
adjoint advection-diffusion equation, and then discretizes this optimality
system using the SUPG method for both the original and the adjoint
equations. These approaches lead to different results. The main result of this
paper are estimates for the error between the solution of the infinite
dimensional optimal control problem and their approximations computed using the
previous approaches. For a class of problems prove that the
optimize-then-discretize approach has better asymptotic convergence properties
if finite elements of order greater than one are used. For linear finite
elements our theoretical convergence results for both approaches are
comparable, except in the zero diffusion limit where again the
optimize-then-discretize approach seems favorable. Numerical examples are
presented to illustrate some of the theoretical results.}
}


@INPROCEEDINGS{Young-PDE-02,
  AUTHOR = {D. P. Young and W. P. Huffman and
R. G. Melvin and C. L. Hilmes and F. T. Johnson},
  TITLE = {Nonlinear
Elimination in Aerodynamic Analysis and Design Optimization},
  BOOKTITLE = {Proceedings of the First Sandia Workshop on Large-Scale PDE Constrained
Optimization (to appear)},
  YEAR = {2002},
  SERIES = {Lecture Notes in
Computational Science and Engineering},
  PUBLISHER = {Springer Verlag},
  PS = {young-lnsce.ps.gz},
  PDF = {young-lnsce.pdf},
  ABSTRACT = { Recent emphasis on
reduction of design cycle time and cost in the design of commercial aircraft
has sparked a renewed interest in design optimization in aerodynamics,
structures, and aeroelastics. The constrained aerodynamic optimization problem
is closely related to the problem of solving nonlinear systems of equations. In
applying Newton's method to steady-state compressible CFD analysis problems,
the nonlinear elimination method has been remarkably successful. In this paper
we consider the implications of this experience for design optimization
formulations in the general case of state equation equality constraints. This
relationship between nonlinear equation solving and design optimization is
illustrated by drawing on computational examples from the TRANAIR compressible
CFD code. We first discuss various formulations of the PDE constrained
optimization problem related to the Lagrange Newton method and the multiplier
free version implementation in TRANAIR. We then discuss the nonlinear
elimination method and its application to a simple nozzle problem. This method
is then applied to derive various globalization methods in design optimization
which are illustrated by a computational example in airfoil design. Finally, we
discuss some remaining limitations and issues.}
}


@TECHREPORT{abraham1,
  AUTHOR = {F. Abraham and M. Behr and M. Heinkenschloss},
  TITLE = {The effect of stabilization on the optimal control of the {Oseen}
equations (submitted for publication)},
  INSTITUTION = {Department of
Computational and Applied Mathematics, Rice University},
  NUMBER = {CAAM
TR03-04},
  YEAR = {2003}
}


@ARTICLE{barlett1,
  AUTHOR = {Bartlett, R. A. and L. T. Biegler},
  TITLE = {QPSchur: A Dual, Active Set, {Schur} Complement Method for Large-scale and
Structured Convex Quadratic Programming Algorithm},
  JOURNAL = {submitted for
publication},
  YEAR = {2002}
}


@INPROCEEDINGS{bart1,
  AUTHOR = {van Bloemen Waanders, Bart and Roscoe
Bartlett and Lorenz T. Biegler and Carl D. Laird},
  TITLE = {Nonlinear
Programming Strategies for Source Detection of Municipal Water Networks},
  BOOKTITLE = {Proceedings EWRI Conference}
}


@BOOK{biegler2,
  AUTHOR = {L. Biegler and O. Ghattas and M. Heinkenschloss and
B. van Bloemen Waanders},
  TITLE = {Large-scale {PDE}-constrained Optimization},
  SERIES = {Lecture Notes in Computational Science and Engineering},
  PUBLISHER = {Springer Verlag},
  VOLUME = {30},
  YEAR = {2003}
}


@INCOLLECTION{biegler3,
  AUTHOR = { L. T. Biegler and Andreas Waechter},
  TITLE = {{SQP SAND} Strategies that Link to Existing Modeling Systems},
  SERIES = {Lecture Notes in Computational Science and Engineering},
  VOLUME = {30},
  PUBLISHER = {Springer-Verlag},
  YEAR = {2003},
  EDITOR = {Ghattas,
Heinkenschloss, Biegler and van Bloemen Waanders},
  BOOKTITLE = {Large-Scale PDE
Constrained Optimization}
}


@ARTICLE{biros1,
  AUTHOR = {G. Biros and O. Ghattas},
  TITLE = {{Parallel
Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part I:
The Krylov-Schur Solver}},
  JOURNAL = {SIAM Journal on Scientific Computing
(submitted)},
  YEAR = {2000}
}


@ARTICLE{biros2,
  AUTHOR = {G. Biros and O. Ghattas},
  TITLE = {{Parallel
Lagrange-Newton-Krylov-Schur Methods for PDE-Constrained Optimization. Part II:
The Lagrange-Newton Solver, and its Application to Optimal Control of Steady
Viscous Flows}},
  JOURNAL = {SIAM Journal on Scientific Computing (submitted)},
  YEAR = {2000}
}


@INCOLLECTION{biros3,
  AUTHOR = {G. Biros and O. Ghattas},
  TITLE = {Inexactness
Issues in the {Lagrange-Newton-Krylov-Schur} method},
  SERIES = {Lecture Notes
in Computational Science and Engineering},
  VOLUME = {30},
  PUBLISHER = {Springer-Verlag},
  YEAR = {2003},
  EDITOR = {Ghattas, Heinkenschloss, Biegler
and van Bloemen Waanders},
  BOOKTITLE = {Large-Scale PDE Constrained
Optimization}
}


@ARTICLE{cai1,
  AUTHOR = {X.-C. Cai and D. E. Keyes},
  TITLE = {Nonlinearly
Preconditioned Inexact {Newton} Algorithms},
  JOURNAL = {SIAM J. Sci. Comp},
  YEAR = {2002},
  VOLUME = {24},
  PAGES = {183--200}
}


@ARTICLE{itle1,
  AUTHOR = {Itle, G. C. and A. G. Salinger and R. P. Pawlowski
and J.N. Shadid and L. T. Biegler},
  TITLE = {A Tailored Optimization Strategy
for {PDE}-based Design: Application to a {CVD} Reactor},
  JOURNAL = {submitted
for publication},
  YEAR = {2002}
}


@MASTERSTHESIS{jannet,
  AUTHOR = { J. Berschling},
  TITLE = {Inverse problems in
multiphase groundwater flow},
  SCHOOL = { Department of Civil and Environmental
Engineering, Carnegie Mellon University},
  YEAR = {2003}
}


@ARTICLE{jock1,
  AUTHOR = {Jockenhoevel, T. and L. T. Biegler and A. Waechter},
  TITLE = {Dynamic Optimization of the Tennessee Eastman Process Using the
OptControlCentre},
  JOURNAL = {Computers and Chemical Engineering},
  YEAR = {2003},
  VOLUME = {27},
  NUMBER = {11},
  PAGES = {1513--1531}
}


@ARTICLE{keyes-jcp-04,
  AUTHOR = {D.A. Knoll and D.E. Keyes},
  TITLE = {Jacobian-free {Newton--Krylov} methods: a Survey of approaches and
applications},
  JOURNAL = {Journal of Computational Physics},
  YEAR = {2004},
  VOLUME = {193},
  PAGES = {357--397}
}


@INCOLLECTION{keyes3,
  AUTHOR = {D. E. Keyes and P. D. Hovland and L. C. McInnes
and W. Samyono},
  TITLE = {Using Automatic Differentiation for Second-order
Matrix-free Methods in {PDE}-constrained Optimization},
  PUBLISHER = {Springer
Verlag},
  YEAR = {2002},
  EDITOR = {G.  Corliss et al},
  BOOKTITLE = {Automatic
Differentiation of Algorithms: From Simulation to Optimization}
}


@MASTERSTHESIS{mallet,
  AUTHOR = { V. Mallet},
  TITLE = {Simulation numerique de
la propagation d'interfaces},
  SCHOOL = {Ecole Centrale de Lyon},
  YEAR = {2002}
}


@ARTICLE{raghu1,
  AUTHOR = {Raghunathan, A. and L. T. Biegler},
  TITLE = {MPEC
Formulations and Algorithms in Process Engineering},
  JOURNAL = {Computers and
Chemical Engineering},
  YEAR = {2003},
  TVOLUME = {27},
  PAGES = {1381--1392}
}


@INCOLLECTION{roscoe1,
  AUTHOR = { Roscoe A. Bartlett and Lorenz T. Biegler},
  TITLE = {{rSQP++} : An Object-Oriented Framework for Successive Quadratic
Programming},
  SERIES = {Lecture Notes in Computational Science and
Engineering},
  VOLUME = {30},
  PUBLISHER = {Springer-Verlag},
  YEAR = {2003},
  EDITOR = {Ghattas, Heinkenschloss, Biegler and van Bloemen Waanders},
  BOOKTITLE = {Large-Scale PDE Constrained Optimization}
}


@INCOLLECTION{salinger1,
  AUTHOR = {A.G. Salinger and R.P. Pawlowski and
J.N. Shadid and B.van Bloemen Waanders and R.  Bartlett and G.C. Itle and
L. Biegler},
  TITLE = {{rSQP} Optimization of Large-Scale Reacting Flow
Applications with {MPSalsa}},
  SERIES = {Lecture Notes in Computational Science
and Engineering},
  PUBLISHER = {Springer-Verlag},
  VOLUME = {30},
  YEAR = {2003},
  EDITOR = {L. Biegler and O. Ghattas and M.  Heinkenschloss and B. van Bloemen
Waanders},
  BOOKTITLE = {Large-Scale PDE-Constrained Optimization}
}


@ARTICLE{santos1,
  AUTHOR = {Santos, L.O. and L. T. Biegler},
  TITLE = {A Tool to
Analyze Robust Stability for constrained Model Predictive Controllers},
  JOURNAL = {ADCHEM 2003},
  YEAR = {2003}
}


@INPROCEEDINGS{sc2003,
  AUTHOR = {Volkan Akcelik and Jacobo Bielak and George
Biros and Ioannis Epanomeritakis and Antonio Fernandez and Omar Ghattas and Eui
Joong Kim and Julio Lopez and David O'Hallaron and Tiankai Tu and John
Urbanic},
  TITLE = {High Resolution Forward and Inverse Earthquake Modeling on
Terascale Computers},
  BOOKTITLE = {Proceedings of SC2003},
  PUBLISHER = {ACM/IEEE},
  ADDRESS = {Phoenix},
  YEAR = 2003
}


@ARTICLE{waechter1,
  AUTHOR = {Waechter, A. and L. T. Biegler},
  TITLE = {Global
and Local Convergence of Line Search Filter Methods for Nonlinear Programming},
  JOURNAL = {submitted for publication},
  YEAR = {2001}
}