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- research-articleJanuary 1999
A Parallel Algorithm for Mesh Smoothing
SIAM Journal on Scientific Computing (SISC), Volume 20, Issue 6Pages 2023–2040https://doi.org/10.1137/S1064827597323208Maintaining good mesh quality during the generation and refinement of unstructured meshes in finite-element applications is an important aspect in obtaining accurate discretizations and well-conditioned linear systems. In this article, we present a mesh-...
- research-articleMay 1997
Parallel Algorithms for Adaptive Mesh Refinement
SIAM Journal on Scientific Computing (SISC), Volume 18, Issue 3Pages 686–708https://doi.org/10.1137/S106482759528065XComputational methods based on the use of adaptively constructed nonuniform meshes reduce the amount of computation and storage necessary to perform many scientific calculations. The adaptive construction of such nonuniform meshes is an important part of ...
- research-articleMay 1993
A Parallel Graph Coloring Heuristic
SIAM Journal on Scientific Computing (SISC), Volume 14, Issue 3Pages 654–669https://doi.org/10.1137/0914041The problem of computing good graph colorings arises in many diverse applications, such as in the estimation of sparse Jacobians and in the development of efficient, parallel iterative methods for solving sparse linear systems. This paper presents an ...
- research-articleMay 1992
A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results
SIAM Journal on Scientific and Statistical Computing (SSSC), Volume 13, Issue 3Pages 771–793https://doi.org/10.1137/0913046The authors recently proposed a new parallel algorithm, based on the sequential Levenberg–Marquardt method, for the nonlinear least-squares problem. The algorithm is suitable for message-passing multiprocessor computers.
In this paper a parallel efficiency ...