3 papers
math.NA2025
Error Estimates and Graded Mesh Refinement for Isogeometric Analysis on Polar Domains with Corners
Thomas Apel, Philipp Zilk
Isogeometric analysis (IGA) enables exact representations of computational geometries and higher-order approximation of PDEs. In non-smooth domains, however, singularities near cor…
math.NA2024
Isogeometric analysis of the Laplace eigenvalue problem on circular sectors: Regularity properties, graded meshes & variational crimes
Thomas Apel, Philipp Zilk
The Laplace eigenvalue problem on circular sectors has eigenfunctions with corner singularities. Standard methods may produce suboptimal approximation results. To address this issu…
math.AP2024
Lipolysis on Lipid Droplets: Mathematical Modelling and Numerical Discretisations
Reymart Salcedo-Lagunero, Klemens Fellner, Thomas Apel +2
Lipolysis is a life-essential metabolic process, which supplies fatty acids stored in lipid droplets to the body in order to match the demands of building new cells and providing c…