Publication Abstracts
Greengard et al. 2009
Greengard, L.,
, P.-G. Martinsson, and V. Rokhlin, 2009: Fast direct solvers for integral equations in complex three-dimensional domains. Acta Numerica, 18, 243-275, doi:10.1017/S0962492906410011.Methods for the solution of boundary integral equations have changed significantly during the last two decades. This is due, in part, to improvements in computer hardware, but more importantly, to the development of fast algorithms which scale linearly or nearly linearly with the number of degrees of freedom required. These methods are typically iterative, based on coupling fast matrix-vector multiplication routines with conjugate-gradient-type schemes. Here, we discuss methods that are currently under development for the fast, direct solution of boundary integral equations in three dimensions. After reviewing the mathematical foundations of such schemes, we illustrate their performance with some numerical examples, and discuss the potential impact of the overall approach in a variety of settings.
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BibTeX Citation
@article{gr04900a, author={Greengard, L. and Gueyffier, D. and Martinsson, P.-G. and Rokhlin, V.}, title={Fast direct solvers for integral equations in complex three-dimensional domains}, year={2009}, journal={Acta Numerica}, volume={18}, pages={243--275}, doi={10.1017/S0962492906410011}, }
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RIS Citation
TY - JOUR ID - gr04900a AU - Greengard, L. AU - Gueyffier, D. AU - Martinsson, P.-G. AU - Rokhlin, V. PY - 2009 TI - Fast direct solvers for integral equations in complex three-dimensional domains JA - Acta Numerica VL - 18 SP - 243 EP - 275 DO - 10.1017/S0962492906410011 ER -
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