Parallel Solver Framework for Mixed-Integer PDE-Constrained Optimization

Technical Report · Mon Mar 01 00:00:00 EST 2021

DOI:https://doi.org/10.2172/1771009· OSTI ID:1771009

Phillips, Cynthia A. ^[1]; Chatter, Michelle Althea ^[1]; Eckstein, Jonathan ^[1]; Erturk, Alper ^[1]; El-Kady, Ihab F. ^[1]; Gerbe, Romain ^[1]; Kouri, Drew Philip ^[1]; Loughlin, William ^[1]; Reinke, Charles M. ^[1]; Rokkam, Rohith ^[1]; Ruzzene, Massimo ^[1]; Sugino, Christopher ^[1]; Swanson, Calvin ^[1]; van Bloemen Waanders, Bart G. ^[1]

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1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

ROL-PEBBL is a C++, MPI-based parallel code for mixed-integer PDE-constrained optimization (MIPDECO). In these problems we wish to optimize (control, design, etc.) physical systems, which must obey the laws of physics, when some of the decision variables must take integer values. ROL-PEBBL combines a code to efficiently search over integer choices (PEBBL = Parallel Enumeration Branch-and-Bound Library) and a code for efficient nonlinear optimization, including PDE-constrained optimization (ROL = Rapid Optimization Library). In this report, we summarize the design of ROL-PEBBL and initial applications/results. For an artificial source-inversion problem, finding sources of pollution on a grid from sparse samples, ROL-PEBBLs solution for the nest grid gave the best optimization guarantee for any general solver that gives both a solution and a quality guarantee.

• Research Organization: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
• DOE Contract Number: AC04-94AL85000; NA0003525
• OSTI ID: 1771009
• Report Number(s): SAND2021-2363; 694639
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING