This paper is dedicated to a detailed analysis of the symmetry properties of the cubical
Stokes eigenmodes and to the numerical verification of its predictions. These modes are …

Making the most ef? cient use of computer systems has rapidly become a leading topic of
interest for the computer industry and its customers alike. However, the focus of these …

Cubature Points Based Triangular Spectral Elements: an Accuracy Study 1 Introduction Page 1
J. Math. Study doi: 10.4208/jms.v51n1.18.02 Vol. 51, No. 1, pp. 15-25 March 2018 Cubature …

This paper presents a new method using spectral approaches to compute the Discrete
Hodge Helmholtz Decomposition (DHHD) of a given vector field. This decomposition …

Bifurcated magnetohydrodynamic (MHD) equilibrium states are computed for ITER hybrid
scenario and RFX-mod SHAx configurations with very flat or reversed core magnetic shear …

We present the application of the recent physics-conforming COOL method [2, 4] to the
eigenvalue problem of a cylindrical waveguide filled with unmagnetized plasma. Using the …

An incompressible variational ideal ballooning mode equation is discretized with the COOL
finite element discretization scheme using basis functions composed of variable order …

It is well known that the approximation of eigenvalues and associated eigenfunctions of a
linear operator under constraint is a difficult problem. One of the difficulties is to propose …

An original polynomial approximation to solve partial differential equations is presented.
This spectral element version takes into account the underlying nature of the corresponding …

When representing realistic physical phenomena by partial differential equations (PDE), it is
crucial to approximate the underlying physics correctly, to get precise results, and to …