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math.NA2025
A Stabilized Finite Element Method for a Morpho-Visco-Poroelastic Model
Sabia Asghar, Duncan den Bakker, Etelvina Javierre +2
Studying the structure of soft tissues is important and relevant in biology, particularly in some diseases, such as tumor growth and dermal contraction after burn injury. Based on…
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…
math.NA2024
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.…