Parallel Scalable PDE-Constrained Optimization: Antenna Identification in Hyperthermia Cancer Treatment Planning

Olaf Schenk, Murat Manguoglu, Ahmed Sameh, Matthias Christen and Madan Sathe, in Computer Science - Research and Development: ISC09, Volume 23, Issue 3-4, pp. 177–183, June 2009

A PDE-constrained optimization algorithm which is designed for parallel scalability on distributed-memory architectures with thousands of cores is presented. The method is based on a line-search interior-point algorithm for large-scale continuous optimization, it is matrix-free in that it does not require the factorization of derivative matrices. Instead, it uses a new parallel and robust iterative linear solver on distributed-memory architectures. We will show almost linear parallel scalability results for the complete optimization problem, which is a new emerging important biomedical application and is related to antenna identification in hyperthermia cancer treatment planning.

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