Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

We propose a new formulation along with a family of finite element schemes for the
approximation of the interaction between fluid motion and linear mechanical response of a …

In biomechanics problems, the biological soft tissues are usually treated as anisotropic
nearly incompressible hyperelastic materials, but such complicated nonlinear material …

We describe the SOniCS (SOFA+ FEniCS) plugin to help develop an intuitive understanding
of complex biomechanics systems. This new approach allows the user to experiment with …

Summary The smoothed FEM (S‐FEM) is firstly extended to explore the behavior of 3D
anisotropic large deformation of rabbit ventricles during the passive filling process in …

The numerical approximation of hyperelasticity must address nonlinear constitutive laws,
geometric nonlinearities associated with large strains and deformations, the imposition of …

We propose a finite element formulation for a coupled elasticity–reaction–diffusion system
written in a fully Lagrangian form and governing the spatio-temporal interaction of species …

In the context of isogeometric analysis (IGA) of shell structures, the popularity of the solid-
shell elements benefit from formulation simplicity and full 3D stress state. However some …

The aim of this paper is to develop and analyze a family of stabilized discontinuous finite
volume element methods for the Stokes equations in two and three spatial dimensions. The …

This paper is concerned with the mathematical analysis of a coupled elliptic–parabolic
system modeling the interaction between the propagation of electric potential and …