26 citations · 164 across the 38 of their papers we have counts for
5 papers · 1 filter
Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data
Abramo Agosti, Pasquale Ciarletta, Harald Garcke +1
Parameters in mathematical models for glioblastoma multiforme (GBM) tumour growth are highly patient specific. Here we aim to estimate parameters in a Cahn-Hilliard type diffuse in…
Simulation and Control of a Nonsmooth Cahn-Hilliard Navier-Stokes System
Carmen Gräßle, Michael Hintermüller, Michael Hinze +1
We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn-Hilliard Navier-Stokes system involving a nonsmooth energy potential. We estab…
Model Order Reduction by Proper Orthogonal Decomposition
Carmen Gräßle, Michael Hinze, Stefan Volkwein
We provide an introduction to POD-MOR with focus on (nonlinear) parametric PDEs and (nonlinear) time-dependent PDEs, and PDE constrained optimization with POD surrogate models as a…
Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization
Niklas Kühl, Peter M. Müller, Arthur Stück +2
We discuss exterior and classical interior alternatives for evaluating fluid flow induced forces on bodies. The discussion aims at a reduction of the total shape derivative, achiev…
Finite element approximation of source term identification with TV-regularization
Michael Hinze, Tran Nhan Tam Quyen
In this paper we investigate the problem of recovering the source term in an elliptic system from a measurement of the state on a part of the boundary. For the particular interest…