You are here: Home :: Keyword index :: eth bis gen :: finite difference method - First-principles finite element

Items for "finite element"

On the numerical solution of a semilinear elliptic eigenproblem of LaneEmden type, I: Problem formulation and description of the algorithms

In this first part of our two-part article, we present some theoretical background along with descriptions of some numerical techniques for solving a particular semilinear elliptic eigenproblem of Lane-Emden type on a triangular domain without any lines of symmetry...

Keywords: numerical method, Lane, Emden, semilinear, elliptic, eigenproblem, operator splitting, finite element, arclength continuation, least-squares, control

10/2007 | Journal of Numerical Mathematics, Walter de Gruyter

On the numerical solution of a semilinear elliptic eigenproblem of LaneEmden type, II: Numerical experiments

In this second part of our two-part article, we present and discuss the corresponding numerical results from implementations of the numerical algorithms described in the first part...

Keywords: numerical method, Lane, Emden, semilinear, elliptic, eigenproblem, operator splitting, finite element, arclength continuation, least-squares, control

11/2007 | Journal of Numerical Mathematics, Walter de Gruyter

Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients

The degenerate isotropic boundary value problem (²(x)u(x, y)) = f(x, y) on the unit square (0, 1)² is considered in this paper...