Numerical Approximation of Elasticity Tensor Associated With Green-Naghdi Rate

Boussinesq–Green–Naghdi rotational water wave theory

Article history: Received 4 March 2012 Received in revised form 14 September 2012 Accepted 17 September 2012 Available online xxxx

A Modified Galerkin / Finite Element Method for the Numerical Solution of the Serre-green-naghdi System

A new modified Galerkin / Finite Element Method is proposed for the numerical solution of the fully nonlinear shallow water wave equations. The new numerical method allows the use of low-order Lagrange finite element spaces, despite the fact that the system contains third order spatial partial derivatives for the depth averaged velocity of the fluid. After studying the efficacy and the conserva...

On Tensor Approximation of Green Iterations for Kohn-Sham Equations

Numerical approximation of multi-dimensional PDEs in quantized tensor spaces

Modern methods of tensor-product approximation by separation of variables allow an efficient lowparametric calculus of functions and operators in higher dimensions. Most common separable representations combine the Tucker, canonical, tensor train (TT) and the more general MPS-type decompositions. The idea of data quantization makes it possible to represent (approximate) the multivariate functio...

Derivation and Analysis of a New 2d Green-naghdi System

We derive here a variant of the 2D Green-Naghdi equations that model the propagation of two-directional, nonlinear dispersive waves in shallow water. This new model has the same accuracy as the standard 2D GreenNaghdi equations. Its mathematical interest is that it allows a control of the rotational part of the (vertically averaged) horizontal velocity, which is not the case for the usual Green...