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Items for "Elliptic equations"

Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes

In this paper, we investigate the spectral properties of condensed matrices in mixed hybrid discretizations of the Neumann boundary value problem for the Poisson equation on distorted meshes...

Keywords: Elliptic equations, mixed hybrid discretizations, condensed matrices, spectrally equivalent preconditioners

03/2003 | Journal of Numerical Mathematics, Walter de Gruyter
Data-sparse elliptic operator inverse based on explicit approximation to the Green function

A class of data-sparse hierarchical matrices (?-matrices) allows to approximate nonlocal (integral) operators with almost linear complexity [22 – 31]...

Keywords: Elliptic equations, BEM, FEM, data-sparse approximate inverse, hierarchical matrices

06/2003 | Journal of Numerical Mathematics, Walter de Gruyter
Hierarchical matrix approximation to Green's function via boundary concentrated FEM

In the preceding paper [24], a method is described for an explicit hierarchical (?-matrix) approximation to the inverse of an elliptic differential operator with piecewise constant/smooth coefficients in ?d ...

Keywords: Elliptic equations, BEM, FEM, data-sparse approximate inverse, hierarchical matrices, boundary concentrated hp-FEM

09/2003 | Journal of Numerical Mathematics, Walter de Gruyter