5 papers
Hyperelastic Modeling of Cardiac Tissue Deformation for Data Registration
Joyce Ghantous, Yves Coudiere, Michael Leguèbe
This work proposes a biomechanical registration framework designed to combine functional optical-mapping data with structural high-resolution MRI of cardiac tissue. The two acquisi…
Using curved meshes to derive a priori error estimates for a linear elasticity problem with Robin boundary conditions
Joyce Ghantous
This work concerns the numerical analysis of the linear elasticity problem with a Robin boundary condition on a smooth domain. A finite element discretization is presented using hi…
Finite element analysis of a spectral problem on curved meshes occurring in diffusion with high order boundary conditions
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is considered a spectral problem, involving a second order term on the domain boundary: the Laplace-Beltrami operator. A variational formulation is presented, leading…
A priori error estimates of a diffusion equation with Ventcel boundary conditions on curved meshes
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is considered an elliptic problem, referred to as the Ventcel problem, involvinga second order term on the domain boundary (the Laplace-Beltrami operator). A variation…
Numerical study of a diffusion equation with Ventcel boundary condition using curved meshes
Fabien Caubet, Joyce Ghantous, Charles Pierre
In this work is provided a numerical study of a diffusion problem involving a second order term on the domain boundary (the Laplace-Beltrami operator) referred to as the \textit{Ve…