In the current article, in presence of thermal and diffusion processes, equations governing elastic materials through thermodiffusion are obtained. The Moore–Gibson–Thompson (MGT) equation modifies defines for conduction mass that occur solids. This modification is based on adding heat relaxation times Green–Naghdi Type III (GN-III) models. an unbounded medium with a cylindrical hole, built mod...

We study a hybrid approach combining finite volume (FV) and element (FE) method to solve fully-nonlinear weakly-dispersive depth averaged wave propagation model. The FV is used the underlying hyperbolic shallow water system, while standard P1 elliptic system associated dispersive correction. impact of several numerical aspects: reconstruction in phase; representation data FE phase their on theo...

one of the fundamental notions of realization of sustainable city within the framework of the theory of sustainable development is what affects the urban green spaces as well as the influence they may have. as the upshot of years’ worth of experiences in the ideology of iranian urban design, iranian garden is of magnificently high position which possesses the potentials to act as the green spac...

We give some equivalence estimates on the solution of a singular perturbation problem that represents, among other models, the Koiter and Naghdi shell models. Two of the estimates apply to intermediate shell problems and the third is for membrane/shear dominated shells. From these equivalences, many known and some new sharp estimates on the solutions of the singular perturbation problems easily...

Article history: Received 15 July 2013 Received in revised form 18 April 2014 Accepted 23 May 2014 Available online 2 June 2014

Abstract This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin schemes with subcell finite volume limiters applied to a new class of first hyperbolic reformulations nonlinear dispersive systems based an extended Lagrangian approach introduced by Dhaouadi et al. (Stud Appl Math 207:1–20, 2018), Favrie and Gavrilyuk (Nonlinearity 30:2718–2736, 2017). We conside...

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...

We consider the issue of wave-breaking closure for well-known Green–Naghdi model and attempt at providing some more understanding sensitivity approaches to numerical set-up. More precisely based on Kazolea Ricchiuto (Ocean Model 123:16–39, 2018), we used two strategies modeling a solitary wave over slope. The first one is hybrid method consisting suppressing dispersive terms in breaking region ...

In formal scattering theory, Green functions are obtained as solutions of a distributional equation. In this paper, we use the Sturm-Liouville theory to compute Green functions within a rigorous mathematical theory. We shall show that both the Sturm-Liouville theory and the formal treatment yield the same Green functions. We shall also show how the analyticity of the Green functions as function...