Advanced Numerical Methods in Computational Mathematics

A direct forcing immersed boundary method for biofluid simulations using a non-linear rotation free shell model on unstructured grids

This paper introduces an immersed boundary method for simulating thin structures in incompressible flow using a nonlinear rotation-free shell model on unstructured grids, validated with benchmark problems and applied to aortic dissection.

A FINITE ELEMENT FRAMEWORK FOR BULK-SURFACE COUPLED PDES TO SOLVE MOVING BOUNDARY PROBLEMS IN BIOPHYSICS

The paper introduces a finite element framework for solving bulk-surface coupled PDEs in biophysics, demonstrating accuracy and applicability to moving boundary problems.