PDE-constrained optimization problems find many applications in medical image analysis,
for example, neuroimaging, cardiovascular imaging, and oncologic imaging. We review the …

With this work we release CLAIRE, a distributed-memory implementation of an effective
solver for constrained large deformation diffeomorphic image registration problems in three …

Solving the linear system is often the major computational burden when a forward-backward
evolutionary equation must be solved in a problem, where is the so-called all-at-once matrix …

Partial differential equation (PDE)–constrained optimization problems with control or state
constraints are challenging from an analytical and numerical perspective. The combination …

In this paper, we propose a new efficient preconditioner for iteratively solving the large-scale
indefinite saddle-point sparse linear system, which arises from discretizing the optimality …

In this paper, we propose a unified size-structured PDE model for the growth of metastatic
tumors, which extends a well-known coupled ODE-PDE dynamical model developed and …

We present our work on scalable, GPU-accelerated algorithms for diffeomorphic image
registration. The associated software package is termed CLAIRE. Image registration is a …

We consider the iterative solution of algebraic systems, arising in optimal control problems
constrained by a partial differential equation with additional box constraints on the state and …

The operation of machine tools often demands a highly accurate knowledge of the tool
center point's (TCP) position. The displacement of the TCP over time can be inferred from …

This paper is concerned with fast solver of distributed optimal control problems constrained
by a nonlocal Cahn-Hilliard equation. By eliminating the control variable, a linear system on …