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Items for "hierarchical matrices"

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
Hierarchical Kronecker tensor-product approximations

The goal of this work is the presentation of some new formats which are useful for the approximation of (large and dense) matrices related to certain classes of functions and nonlocal (integral, integro-differential) operators, especially for high-dimensional problems...

Keywords: integral equations, BEM, low-rank matrices, hierarchical matrices, Kronecker products, multi-dimensional matrices, tensors

06/2005 | Journal of Numerical Mathematics, Walter de Gruyter