Abstract Models of the micro-circulatory blood flow in the brain can play a key role in
understanding the variety of cerebrovascular diseases that occur in the microvasculature …

We study solution techniques for a linear-quadratic optimal control problem involving
fractional powers of elliptic operators. These fractional operators can be realized as the …

We analyze a parallel, noniterative, multiphysics domain decomposition method for
decoupling the Stokes--Darcy model with multistep backward differentiation schemes for the …

It is well known that finite element solutions for elliptic PDEs with Dirac measures as source
terms converge, due to the fact that the solution is not in H^1, suboptimal in classical norms …

A large variety of severe medical conditions involve alterations in microvascular circulation.
Hence, measurements or simulation of circulation and perfusion has considerable clinical …

This special issue of Computational Methods in Applied Mathematics is dedicated to
Thomas Apel on the occasion of his 60th birthday in 2022. He was and is a leading figure in …

In this article, an alternative energy-space based approach is proposed for the Dirichlet
boundary control problem and then a finite-element based numerical method is designed …

This paper is concerned with the discretization of linear elliptic partial differential equations
with Neumann boundary condition in polygonal domains. The focus is on the derivation of …

This paper presents a numerical method and analysis, based on the variational
discretization concept, for optimal control problems governed by elliptic PDEs with …

In this article, we study the Dirichlet boundary control problem governed by Poisson
equation, therein the control is penalized in H 1 (Ω) space and various symmetric …