4 papers
Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model
Xiao Xue, Marco F. P. ten Eikelder, Tianyue Yang +4
Phase separation in binary mixtures, governed by the Cahn-Hilliard equation, plays a central role in interfacial dynamics across materials science and soft matter. While numerical…
The matrix-free macro-element hybridized Discontinuous Galerkin method for steady and unsteady compressible flows
Vahid Badrkhani, Marco F. P. ten Eikelder, Rene R. Hiemstra +1
The macro-element variant of the hybridized discontinuous Galerkin (HDG) method combines advantages of continuous and discontinuous finite element discretization. In this paper, we…
Connecting continuum poroelasticity with discrete synthetic vascular trees for modeling liver tissue
Adnan Ebrahem, Etienne Jessen, Marco F. P. ten Eikelder +3
Computational simulations have the potential to assist in liver resection surgeries by facilitating surgical planning, optimizing resection strategies, and predicting postoperative…
Unification of variational multiscale analysis and Nitsche's method, and a resulting boundary layer fine-scale model
Stein K. F. Stoter, Marco F. P. ten Eikelder, Frits de Prenter +4
We show that in the variational multiscale framework, the weak enforcement of essential boundary conditions via Nitsche's method corresponds directly to a particular choice of proj…