A Software Framework for Reduced Basis Methods Using Dune-RB and RBmatlab
Many applications from science and engineering are based on parametrized evolution equations and depend on time–consuming parameter studies or need to ensure critical constraints on the simulation time. For both settings, model order reduction by the reduced basis approach is a suitable means to reduce computational time. The method is based on a projection of an underlying high–dimensional numerical scheme onto a low–dimensional function space. In this contribution, a new software framework is introduced that allows fast development of reduced schemes for a large class of discretizations of evolution equations implemented in Dune. The approach provides a strict separation of low–dimensional and high–dimensional computations, each implemented by its own software package RBmatlab, respectively Dune-RB. The functionality of the framework is exemplified for a finite–volume approximation of an instationary linear convection–diffusion problem.
KeywordsSoftware Framework Discrete Operator Dimensional Computation Solution Trajectory Linear Evolution Equation
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