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2012 | 10 | 1 | 204-216
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A brief review of some application driven fast algorithms for elliptic partial differential equations

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EN
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EN
Some application driven fast algorithms developed by the author and his collaborators for elliptic partial differential equations are briefly reviewed here. Subsequent use of the ideas behind development of these algorithms for further development of other algorithms some of which are currently in progress is briefly mentioned. Serial and parallel implementation of these algorithms and their applications to some pure and applied problems are also briefly reviewed.
Twórcy
Bibliografia
  • [1] Anderes E., Coram M.A., Two-dimensional density estimation using smooth invertible transformation, J. Statist. Plann. Inference, 2011, 141(3), 1183–1193 http://dx.doi.org/10.1016/j.jspi.2010.09.019
  • [2] Badea L., Daripa P., On a boundary control approach to domain embedding method, SIAM J. Control Optim., 2001, 40(2), 421–449 http://dx.doi.org/10.1137/S0363012999357380
  • [3] Badea L., Daripa P., A fast algorithm for two-dimensional elliptic problems, Numer. Algorithms, 2002, 30(3–4), 199–239 http://dx.doi.org/10.1023/A:1020176803736
  • [4] Badea L., Daripa P., On a Fourier method of embedding domains using an optimal distributed control, Numer. Algorithms, 2003, 32(2–4), 261–273 http://dx.doi.org/10.1023/A:1024002802603
  • [5] Badea L., Daripa P., A domain embedding method using the optimal distributed control and a fast algorithm, Numer. Algorithms, 2004, 36(2), 95–112 http://dx.doi.org/10.1023/B:NUMA.0000033094.75324.48
  • [6] Borges L., Daripa P., A parallel version of a fast algorithm for singular integral transforms, Numer. Algorithms, 2000, 23(1), 71–96 http://dx.doi.org/10.1023/A:1019143832124
  • [7] Borges L., Daripa P., A fast parallel algorithm for the Poisson equation on a disk, J. Comput. Phys., 2001, 169(1), 151–192 http://dx.doi.org/10.1006/jcph.2001.6720
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  • [13] Daripa P., Mashat D., An efficient and novel numerical method for quasiconformal mappings of doubly connected domains, Numer. Algorithms, 1998, 18(2), 159–178 http://dx.doi.org/10.1023/A:1019169431757
  • [14] Du K., A simple numerical method for complex geometrical optics solutions to the conductivity equation, SIAM J. Sci. Comput., 2011, 33(1), 328–341 http://dx.doi.org/10.1137/100802256
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  • [23] Uhlmann G., Electrical impedance tomography and Calderón’s problem, Inverse Problems, 2009, 25(12), #123011
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-011-0103-2
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