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VECPAR
2004
Springer
13 years 10 months ago
Domain Decomposition Methods for PDE Constrained Optimization Problems
Abstract. Optimization problems constrained by nonlinear partial differential equations have been the focus of intense research in scientific computing lately. Current methods for...
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan ...
TOMS
1998
148views more  TOMS 1998»
13 years 4 months ago
PELLPACK: A Problem-Solving Environment for PDE-Based Applications on Multicomputer Platforms
This paper presents the software architecture and implementation of the problem solving environment (PSE) PELLPACK for modeling physical objects described by partial differential ...
Elias N. Houstis, John R. Rice, Sanjiva Weerawaran...
MCS
2008
Springer
13 years 4 months ago
Numerical optimal control of the wave equation: optimal boundary control of a string to rest in finite time
In many real-life applications of optimal control problems with constraints in form of partial differential equations (PDEs), hyperbolic equations are involved which typically desc...
Matthias Gerdts, Günter Greif, Hans Josef Pes...
SIAMSC
2008
179views more  SIAMSC 2008»
13 years 4 months ago
Multigrid Algorithms for Inverse Problems with Linear Parabolic PDE Constraints
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...
Santi S. Adavani, George Biros
MOC
2002
101views more  MOC 2002»
13 years 4 months ago
Global and uniform convergence of subspace correction methods for some convex optimization problems
This paper gives some global and uniform convergence estimates for a class of subspace correction (based on space decomposition) iterative methods applied to some unconstrained con...
Xue-Cheng Tai, Jinchao Xu