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∞-coefficients. This paper analyses the application of hierarchical matrices to the convection-dominant convection-diffusion equation with constant convection. In the case of increasing convection, the convergence of a standard ℋ-matrix approximant towards the original matrix will deteriorate. We derive a modified partitioning and admissibility condition that ensures good convergence also for the singularly perturbed case.
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Received January 1, 2003; revised March 4, 2003 Published online: May 2, 2003
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Borne, S. ℋ-matrices for Convection-diffusion Problems with Constant Convection. Computing 70, 261–274 (2003). https://doi.org/10.1007/s00607-003-1474-4
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DOI: https://doi.org/10.1007/s00607-003-1474-4