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 GruyterA 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 GruyterIn 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 ?
Keywords: Elliptic equations, BEM, FEM, data-sparse approximate inverse, hierarchical matrices, boundary concentrated hp-FEM
09/2003 | Journal of Numerical Mathematics, Walter de Gruyter