Reduced basis methods for model reduction of nonlinear parameterized evolution equations (RBevol)

Basic data for this project

Description

In the course of this project, reduced basis methods (RB) for parametrized nonlinear transport problems shall be developed. RB methods are a model reduction technique providing efficient, reduced models which allow fast parameter variations through an offline/online decomposition. In the past, RB methods have been developed for stationary problems with finite element discretizations and linear evolution problems with finite volume discretizations. This project, in contrast, aims at the development of RB methods for time dependent problems especially including non-linear terms and more complex systems of partial differential equations. In particular, we consider scalar nonlinear convection-diffusion-reaction equations and systems with a further extension by an elliptic equation. As a possible application for this concept we will look at model reduction for two-phase flow in porous media.