pyMOR - Generic algorithms and interfaces for model order reduction

Milk R, Rave S, Schindler F

Research article (journal) | Peer reviewed

Abstract

Reduced basis methods are projection-based model order reduction techniques for reducing the computational complexity of solving parametrized partial differential equation problems. In this work we discuss the design of pyMOR, a freely available software library of model order reduction algorithms, in particular reduced basis methods, implemented with the Python programming language. As its main design feature, all reduction algorithms in pyMOR are implemented generically via operations on well-defined vector array, operator, and discretization interface classes. This allows for an easy integration with existing open-source high-performance partial differential equation solvers without adding any model reduction specific code to these solvers. Besides an in-depth discussion of pyMOR's design philosophy and architecture, we present several benchmark results and numerical examples showing the feasibility of our approach.

Details about the publication

JournalSIAM Journal on Scientific Computing (SIAM J. Sci. Comput.)
Volume38
Issue5
Page rangeS194-S216
StatusPublished
Release year2016
Language in which the publication is writtenEnglish
DOI10.1137/15M1026614
Link to the full texthttp://www.uni-muenster.de/AMM/includes/ohlberger/publications/MRS2016__Milk_Rave_Schindler__2016__pyMOR_Generic_Algorithms_and_Interfaces_for_Model_Order_Reduction.pdf
KeywordsEmpirical interpolation; Model order reduction; Python; Reduced basis method; Scientific computing; Software

Authors from the University of Münster

Fritze, René
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Rave, Stephan
Mathematical Institute
Schindler, Felix Tobias
Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)