3 papers
physics.med-ph2025
Mathematical and numerical methods for accurate aorta segmentation from non-enhanced CT Data yielding reliable identification and evaluation of large vessel vasculitis
Konan A. Allaly, Jozef Urban, Karol Mikula
Segmentation of the aorta is crucial for various medical analyses, such as the diagnosis and treatment of cardiovascular diseases. This work presents mathematical models and method…
math.NA2019
Design and analysis of finite volume methods for elliptic equations with oblique derivatives; application to Earth gravity field modelling
Jerome Droniou, Matej Medla, Karol Mikula
We develop and analyse finite volume methods for the Poisson problem with boundary conditions involving oblique derivatives. We design a generic framework, for finite volume discre…
math.NA2018
Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids
Peter Frolkovič, Karol Mikula
A new parametric class of semi-implicit numerical schemes for a level set advection equation on Cartesian grids is derived and analyzed. An accuracy and a stability study is provid…