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We design and analyze optimal additive and multiplicative multilevel methods for solving H1 problems on graded grids obtained by bisection. We deal with economical local smoothers: after a global smoo...
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
Graph bisection is an elementary problem in graph theory. We consider the best known experimental algorithms and introduce a new algorithm called Longest-Path-Algorithm. Applying this algorithm to the...
In this paper, a modification of the bisection simplex method$^{[7]}$ is made for more general purpose use. Organized in an alternative simpler form, the modified version exploits information of the...
Local mesh refinement is one of the key steps in implementations of adaptive finite element methods.This paper presents a parallel algorithm for distributed memory parallel computers for adaptive loca...

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