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Any solution of the Navier–Stokes equations in a three-dimensional axisymmetric domain admits a Fourier expansion with respect to the angular variable, and it can be noted that each Fourier coefficient satisfies a variational problem on the meridian domain ...
A novel implicit cell-vertex finite volume method is presented for the solution of both the Navier-Stokes equations and the governing equations for certain viscoelastic fluids. The key idea is the elimination of the pressure term from the momentum equation ...
We study Wave Maps from R2+1 to the hyperbolic plane H-2 with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some H1+mu, mu > 0. We show that such Wave Maps don't develop singularities i ...
In this note we introduce and analyze a stabilized finite element method for the generalized Stokes equation. Stability is obtained by adding a least squares penalization of the gradient jumps across element boundaries. The method can be seen as a higher o ...
In this paper we present a method for the numerical solution of elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. The method consists in calculating successive corrections to the solution in patches whose discre ...
In the past few years, the level set method has been extensively used for the numerical solution of interface problems in different domains, from free-surface and mean curvature flows to image processing. A crucial ingredient in every implementation of the ...
In this paper the effects of the magnetic self-field on the transport properties of a multi-layer high-Tc superconducting (HTS) cable are investigated by means of 2D finite element method (FEM) simulations. Analyzed is a 3-layer HTS cable, but the develope ...
A numerical method is proposed to evaluate gradients on non-uniform, non-orthogonal, three-dimensional structured meshes of hexahedra, as commonly used by finite volume methods. The method uses isoparametric transforms on tetrahedra to evaluate the gradien ...
In this paper, we present a method for the numerical integration of the three-dimensional Green kernel over two triangles. This method is compared with the results obtained by other algorithms. The comparison proves the efficiency of the technique in remov ...
Fundamental and phenomenological models for cells, stacks, and complete systems of PEFC and SOFC are reviewed and their predictive power is assessed by comparing model simulations against experiments. Computationally efficient models suited for engineering ...
