2 papers
math.NA2020
A space-time certified reduced basis method for quasilinear parabolic partial differential equations
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear parabolic problems. The method is based on a space-time variational formulation. We provide a residu…
math.NA2020
Reduced basis methods for quasilinear elliptic PDEs with applications to permanent magnet synchronous motors
Michael Hinze, Denis Korolev
In this paper, we propose a certified reduced basis (RB) method for quasilinear elliptic problems together with its application to nonlinear magnetostatics equations, where the lat…