3 papers
math.NA2025
Structure-preserving Variational Multiscale Stabilization of the Incompressible Navier-Stokes Equations
Kevin Dijkstra, Deepesh Toshniwal
This paper introduces a Variational Multiscale Stabilization (VMS) formulation of the incompressible Navier--Stokes equations that utilizes the Finite Element Exterior Calculus (FE…
math.NA2025
Macro-element Refinement schemes for THB-Splines: Applications to Bézier Projection and Structure-Preserving Discretizations
Kevin Dijkstra, Carlotta Giannelli, Deepesh Toshniwal
This paper introduces a novel adaptive refinement strategy for Isogeometric Analysis (IGA) using Truncated Hierarchical B-splines (THB-splines). The proposed strategy enhances loca…
math.NA2023
A characterization of linear independence of THB-splines in and application to Bézier projection
Kevin Dijkstra, Deepesh Toshniwal
In this paper we propose a local projector for truncated hierarchical B-splines (THB-splines). The local THB-spline projector is an adaptation of the Bézier projector proposed by T…