3 papers
math.NA2026
Convergence of the Immersed Interface Method in Linear Elasticity
Sabia Asghar, Qiyao Peng, Etelvina Javierre +1
We consider an open, bounded, simply connected (Lipschitz) domain in , which contains a closed polyhedral surface or polygonal contour, referred to as the interface.…
math.NA2025
A Stabilized Finite Element Method for Morpho-Visco-Poroelastic Model
Sabia Asghar, Duncan den Bakker, Etelvina Javierre +2
We propose a mathematical model that combines elastic, viscous and porous effects with growth or shrinkage due to microstructural changes. This phenomenon is important in tissue or…
math.NA2025
On the Inversion of Polynomials of Discrete Laplace Matrices
Sabia Asghar, Qiyao Peng, Fred Vermolen +1
The efficient inversion of matrix polynomials is a critical challenge in computational mathematics. We design a procedure to determine the inverse of matrices polynomial of multidi…