Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations.

Adler, James H.

Manteuffel, Thomas Albert, 1948-

McCormick, S. F. (Stephen Fahrney), 1944-

Nolting, J.W.

Ruge, John.

Tang, L.


  • In this paper, we propose new adaptive local refinement (ALR) strategies for first-order system least-squares finite elements in conjunction with algebraic multigrid methods in the context of nested iteration. The goal is to reach a certain error tolerance with the least amount of computational cost and nearly uniform distribution of the error over all elements. To accomplish this, the refinement ... read more
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  • J. H. Adler, T. Manteuffel, S. McCormick, J. Nolting, J. Ruge, and L. Tang. Efficiency-based adaptive local refinement for first-order system least-squares formulations. SIAM J. Sci. Comput. (SISC), 33(1):1-24, 2011. DOI:10.1137/100786897.
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