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SIAMMAX
2010
156views more  SIAMMAX 2010»
13 years 16 days ago
Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
Optimality systems and their linearizations arising in optimal control of partial differential equations with pointwise control and (regularized) state constraints are considered. ...
Roland Herzog, Ekkehard W. Sachs
SIAMJO
2008
93views more  SIAMJO 2008»
13 years 5 months ago
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization
A class of trust-region methods is presented for solving unconstrained nonlinear and possibly nonconvex discretized optimization problems, like those arising in systems governed by...
Serge Gratton, Annick Sartenaer, Philippe L. Toint
SC
2004
ACM
13 years 11 months ago
Ultrascalable Implicit Finite Element Analyses in Solid Mechanics with over a Half a Billion Degrees of Freedom
The solution of elliptic diffusion operators is the computational bottleneck in many simulations in a wide range of engineering and scientific disciplines. We present a truly sca...
Mark F. Adams, Harun H. Bayraktar, Tony M. Keaveny...
ICC
2007
IEEE
122views Communications» more  ICC 2007»
14 years 3 days ago
Dynamic Programming for Scheduling a Single Route in Wireless Networks
— Multi-slot resource scheduling in a general two dimensional wireless ad hoc network, is a hard problem with no known polynomial-time solution. Recent optimization theoretic ana...
Gyouhwan Kim, Rohit Negi
SIAMSC
2010
142views more  SIAMSC 2010»
13 years 4 months ago
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics
This paper develops a nested iteration algorithm to solve time-dependent nonlinear systems of partial differential equations. For each time step, Newton’s method is used to form...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...