This work is devoted to the structure of time-discrete Green--Naghdi equations including bathymetry. We use projection characterize homogeneous and inhomogeneous boundary conditions for which semidiscrete are well posed. allows us propose efficient robust numerical treatment that ensures entropy stability scheme by construction. Numerical evidence provided illustrate our approach suitable situa...

We consider the design of nite element methods for the Naghdi shell model in the case when the deformation is bending dominated. Two formulations based on stabilizing techniques are introduced and it is proved that they are stable, hence free from locking. The theoretical estimates are connrmed by numerical benchmark studies. M ethodes d' el ements nis stabilis ees pour les coques a exion domin...

The present paper deals with a modified Serre–Green–Naghdi (mSGN) system that has been introduced by Clamond et al. (2017) to improve the dispersion relation. We precise blow-up scenario of mSGN equations and we prove existence class solutions develop singularities in finite time. All presented results hold, same proof, for surface tension.

We consider the Nagdhi equations which model a thin three-dimensional shell. We propose a spectral discretization of this problem in the case where the midsurface of the shell is weakly regular. We perform the numerical analysis of the discrete problem and prove optimal error estimates. Résumé: Nous considérons les équations de Nagdhi qui modélisent une coque tridimensionnelle de faible épaisse...

The main aim of the paper is to study impact delay times in a poro-elastic medium using finite element approach and three-phase lag thermo-elastic theory. governing equations were obtained for model with six times. Consideration was given one-dimensional application half-space. Because complex form basic equations, used solve this problem. Asymmetric symmetric tensors represent all physical qua...