scholarly journals A PDE-Constrained Optimization Approach to Uncertainty in Inverse Problems with Applications to Inverse Scattering

2010 ◽  
Author(s):  
George Biros ◽  
Omar Ghattas
Keyword(s):  
Inverse Problems ◽  
Constrained Optimization ◽  
Inverse Scattering ◽  
Optimization Approach ◽  
Pde Constrained Optimization

scholarly journals Sundance: High-Level Software for PDE-Constrained Optimization

2012 ◽  
Vol 20 (3) ◽  
pp. 293-310 ◽  
Author(s):  
Kevin Long ◽  
Paul T. Boggs ◽  
Bart G. van Bloemen Waanders
Keyword(s):  
Inverse Problems ◽  
Constrained Optimization ◽  
High Performance ◽  
Nonlinear Pde ◽  
Pde Constrained Optimization ◽  
Simulator Design ◽  
Design Requirements ◽  
Linear And Nonlinear ◽  
Reduced Space ◽  
High Level

Sundance is a package in the Trilinos suite designed to provide high-level components for the development of high-performance PDE simulators with built-in capabilities for PDE-constrained optimization. We review the implications of PDE-constrained optimization on simulator design requirements, then survey the architecture of the Sundance problem specification components. These components allow immediate extension of a forward simulator for use in an optimization context. We show examples of the use of these components to develop full-space and reduced-space codes for linear and nonlinear PDE-constrained inverse problems.

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