3 papers
math.NA2024
IETI-based Low-Rank method for PDE-constrained optimization
Alexandra Bünger, Tom-Christian Riemer, Martin Stoll
Isogeometric Analysis (IgA) is a versatile method for the discretization of partial differential equations on complex domains, which arise in various applications of science and en…
math.NA2020
A low-rank matrix equation method for solving PDE-constrained optimization problems
Alexandra Bünger, Valeria Simoncini, Martin Stoll
PDE-constrained optimization problems arise in a broad number of applications such as hyperthermia cancer treatment or blood flow simulation. Discretization of the optimization pro…
math.NA2018
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis
Alexandra Bünger, Sergey Dolgov, Martin Stoll
Isogeometric analysis (IGA) has become one of the most popular methods for the discretization of partial differential equations motivated by the use of NURBS for geometric represen…