We develop efficient numerical methods for fractional order PDEs, and employ them to
investigate viscoelastic constitutive laws for arterial wall mechanics. Recent simulations …

The nonlocal models of peridynamics have successfully predicted fractures and
deformations for a variety of materials. In contrast to local mechanics, peridynamic boundary …

The aim of this work is to present an overview of recent advances in multi-scale modeling of
brain blood flow. In particular, we present some approaches that enable the in silico study of …

We develop and analyze a concurrent framework for coupling peridynamics and the
corresponding classical elasticity theory, with applications to the numerical simulations of …

We present a new fictitious pressure method for fluid–structure interaction (FSI) problems in
incompressible flow by generalizing the fictitious mass and damping methods we published …

Excessive synchronizations of neurons in the brain networks can be a reason for some
episodic disorders such as epilepsy. In this paper, we simulate neural dynamic models and …

This work presents a matrix-free finite element solver for finite-strain elasticity adopting an h
p-multigrid preconditioner. Compared to classical algorithms relying on a global sparse …

High‐order finite elements are commonly compared with linear element formulations
showing that, in terms of the relation between computational time and achievable accuracy …

We develop a mixed formulation for incompressible hyperelastodynamics based on a
continuum modeling framework recently developed in the work of Liu and Marsden and …

We present a phase-field/ALE method for simulating fluid–structure interactions (FSI) in two-
phase flow. We solve the Navier–Stokes equation coupled with the Cahn–Hilliard equation …