bem.bib

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@article{SmigajETal2015,
  title={Solving boundary integral problems with {BEM++}},
  author={{\'S}migaj, Wojciech and Betcke, Timo and Arridge, Simon and Phillips, Joel and Schweiger, Martin},
  journal={ACM Transactions on Mathematical Software (TOMS)},
  volume={41},
  number={2},
  pages={6},
  year={2015},
  publisher={ACM}
}

@article{HessSmith1967,
	Author = {Hess, John L and Smith, AMO},
	Date-Added = {2018-12-21 16:49:28 -0300},
	Date-Modified = {2018-12-21 16:49:28 -0300},
	Journal = {Progress in Aerospace Sciences},
	Keywords = {panel method},
	Pages = {1--138},
	Publisher = {Elsevier},
	Title = {Calculation of potential flow about arbitrary bodies},
	Volume = {8},
	Year = {1967},
	Bdsk-Url-1 = {http://www.dtic.mil/dtic/tr/fulltext/u2/755480.pdf}}

@article{Liu2006,
	Author = {Liu, YJ and Nishimura, N},
	Date-Added = {2015-06-06 11:39:52 +0000},
	Date-Modified = {2015-06-06 11:40:50 +0000},
	Doi = {10.1016/j.enganabound.2005.11.006},
	Journal = {Engineering Analysis with Boundary Elements},
	Number = {5},
	Pages = {371--381},
	Publisher = {Elsevier},
	Title = {The fast multipole boundary element method for potential problems: a tutorial},
	Volume = {30},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.enganabound.2005.11.006}}

@article{Peirce1995,
	Abstract = {In this paper we introduce a method to reduce the solution cost for Boundary Element (BE) models from O(N3)operations to O(N2logN) operations (where N is the number of elements in the model). Previous attempts to achieve such an improvement in efficiency have been restricted in their applicability to problems with regular geometries defined on a uniform mesh. We have developed the Spectral Multipole Method (SMM) which can be used not only for problems with arbitrary geometries but also with a variety of element types. The memory necessary to store the required influence coefficients for the spectral multipole method is O(N) whereas the memory required for the traditional Boundary Element method is O(N2). We demonstrate the savings in computational speed and fast memory requirements in some numerical examples. We have established that the break-even point for the method can be as low as 500 elements, which implies that the method is not only suitable for extremely large-scale problems, but that it also provides a useful bridge between the small-scale and large-scale problems. We also demonstrate the performance of the multipole algorithm on the solution of large-scale granular assembly models. The large-scale BE capacity provided by this algorithm will not only prove to be useful in large macroscopic models but it will also make it possible to model microscopic damage processes that form the fundamental mechanisms in plastic flow and brittle fracture.},
	Author = {Peirce, Anthony P and Napier, JAL},
	Date-Added = {2015-06-06 11:34:05 +0000},
	Date-Modified = {2015-06-06 11:36:35 +0000},
	Journal = {Int.\ J. Num.\ Meth.\ Eng.},
	Number = {23},
	Pages = {4009--4034},
	Publisher = {Wiley Online Library},
	Title = {A spectral multipole method for efficient solution of large-scale boundary element models in elastostatics},
	Volume = {38},
	Year = {1995}}

@article{Cruse1969,
	Author = {T. Cruse},
	Date-Added = {2014-04-07 21:44:03 +0000},
	Date-Modified = {2014-04-07 21:46:11 +0000},
	Journal = {Int.\ J. \ Solids Struct.},
	Pages = {1259-1274},
	Title = {Numerical Solutions in Three Dimensional Elastostatics},
	Volume = {5},
	Year = {1969}}

@article{Rizzo1967,
	Author = {F. J. Rizzo},
	Date-Added = {2014-04-07 21:42:08 +0000},
	Date-Modified = {2014-04-07 21:43:56 +0000},
	Journal = {Quarterly of Applied Mathematics},
	Pages = {83-95},
	Title = {An Integral Equation Approach to Baundary Value Problems of Classical Elastostatics},
	Volume = {25},
	Year = {1967}}

@article{Symm1963,
	Author = {G. T. Symm},
	Date-Added = {2014-04-07 21:41:33 +0000},
	Date-Modified = {2014-04-07 21:42:04 +0000},
	Journal = {Proc. R. Soc. A},
	Number = {33-46},
	Title = {Integral Equation Methods in Potential Theory {II}},
	Volume = {275},
	Year = {1963}}

@article{Jawson1963,
	Author = {M. A. Jawson},
	Date-Added = {2014-04-07 21:39:29 +0000},
	Date-Modified = {2014-04-07 21:41:26 +0000},
	Journal = {Proc. R. Soc. A},
	Pages = {23-32},
	Title = {Integral Equation Methods in Potential Theory {I}},
	Volume = {275},
	Year = {1963}}

@misc{Green1828,
	Author = {G. Green},
	Date-Added = {2014-04-07 21:34:50 +0000},
	Date-Modified = {2014-04-07 21:53:01 +0000},
	Howpublished = {Nottingham.},
	Title = {An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism},
	Year = {1828}}

@article{Fredholm1903,
	Author = {I. Fredholm},
	Date-Added = {2014-04-07 21:32:25 +0000},
	Date-Modified = {2014-04-07 21:34:07 +0000},
	Journal = {Acta Mathematica},
	Number = {1},
	Pages = {365-390},
	Title = {Sur une Classe d'\'{e}quations functionnelles},
	Volume = {27},
	Year = {1903}}

@article{Somigliana1885,
	Author = {C. Somigliana},
	Date-Added = {2014-04-07 21:29:07 +0000},
	Date-Modified = {2014-04-07 21:31:58 +0000},
	Journal = {Il Nuovo Cimento},
	Pages = {17-20},
	Title = {Sopra l' Equilibrio di' un Corpo Elastico Isotropo},
	Volume = {3},
	Year = {1885}}

@article{Betti1872,
	Author = {E. Betti},
	Date-Added = {2014-04-07 21:26:31 +0000},
	Date-Modified = {2014-04-07 21:29:00 +0000},
	Journal = {Il Nuovo Cimento},
	Number = {1},
	Pages = {69-97},
	Title = {Theoria dell' Elasticita},
	Volume = {7-8},
	Year = {1872}}

@book{Steinbach2008,
	Author = {O. Steinbach},
	Date-Added = {2014-04-07 21:24:33 +0000},
	Date-Modified = {2014-04-07 21:25:36 +0000},
	Publisher = {Springer},
	Title = {Numerical Approximation Methods for Elliptic Boundary Value Problems. Finite and Boundary Elements.},
	Year = {2008}}

@book{McLean2000,
	Author = {William Mc{L}ean},
	Date-Added = {2014-04-07 21:22:55 +0000},
	Date-Modified = {2014-04-07 21:23:56 +0000},
	Publisher = {Cambridge University Press},
	Title = {Strongly Elliptic Systems and Boundary Integral Equations},
	Year = {2000}}

@book{CourantHilbert-Vol1,
	Address = {New York},
	Author = {Courant, Richard and Hilbert, David},
	Date-Added = {2013-09-15 20:00:30 +0000},
	Date-Modified = {2013-09-15 20:08:08 +0000},
	Note = {Free ebook on the Internet Archive \href{http://archive.org/details/MethodsOfMathematicalPhysicsVolume1}{http://archive.org/details/MethodsOfMathematicalPhysicsVolume1}},
	Publisher = {Interscience Publishers, Inc.},
	Title = {Methods of Mathematical Physics},
	Volume = {1},
	Year = {1953},
	Bdsk-Url-1 = {http://archive.org/details/MethodsOfMathematicalPhysicsVolume1}}

@article{zinchenko2003,
	Author = {Zinchenko, A. and Davis, R},
	Date-Added = {2013-08-13 00:42:00 +0000},
	Date-Modified = {2013-08-13 00:43:02 +0000},
	Journal = {Phil. Trans. R. Soc. Lond.},
	Title = {Large-scale simulations of concentrated emulsion flows},
	Year = {2003}}

@article{yokotaEtAl2010,
	Author = {Yokota, Rio and Bardhan, Jaydeep P. and Knepley, Matthew G. and Barba, L. A. and Hamada, Tsuyoshi},
	Date-Added = {2013-07-29 16:53:02 +0000},
	Date-Modified = {2013-07-29 16:53:57 +0000},
	Journal = {Comput.\ Phys.\ Comm.},
	Title = {Biomolecular electrostatics using a fast multipole {BEM on up to 512 GPUs} and a billion unknowns},
	Year = {2010}}

@article{frangi2005,
	Author = {Frangi, A. and di. Gioia, A.},
	Date-Added = {2013-07-29 16:39:09 +0000},
	Date-Modified = {2013-07-29 16:40:18 +0000},
	Journal = {Comp.\ Mech.},
	Title = {Multipole {BEM} for the evaluation of damping forces on {MEMS}},
	Year = {2005}}

@article{fachinotti2007,
	Author = {Fachinotti, V. D. and Cardona, A and D'Elia, J and Paquay, S},
	Date-Added = {2013-07-29 16:25:44 +0000},
	Date-Modified = {2013-07-29 20:38:15 +0000},
	Journal = {Mecanica Computational},
	Title = {{BEM} for the Analysis of Fluid Flow Around {MEMS}},
	Year = {2007}}

@article{klaseboeretal2011,
	Author = {Klaseboer, E and Manica, R. and Chan, D. Y. C. and Khoo, B. C.},
	Date-Added = {2013-07-11 14:02:45 +0000},
	Date-Modified = {2013-07-29 20:38:28 +0000},
	Journal = {Engineering Analysis with Boundary Elements},
	Pages = {480-494},
	Title = {{BEM} Simulations of potential flow with viscous effects as applied to a rising bubble},
	Volume = {35},
	Year = {2011}}

@mastersthesis{panti2008,
	Author = {Panti, E.},
	Date-Added = {2013-07-11 13:58:04 +0000},
	Date-Modified = {2013-07-11 13:58:46 +0000},
	School = {University of Reading},
	Title = {Boundary Element Method for Heat Transfer in a Buried Pipe},
	Year = {2008}}

@techreport{majchrzakfreus2003,
	Author = {Majchrzak, E. and Freus, K.},
	Date-Added = {2013-07-11 13:55:49 +0000},
	Date-Modified = {2013-07-11 14:07:52 +0000},
	Institution = {Scientific Reseach of the Institue of Mathematics and Computer Science},
	Title = {Boundary Element Method in the Inverse Problems of Steady Heat Transfer},
	Year = {2003}}

@techreport{dijkstramattheij2007,
	Author = {Dijkstra, W. and Mattheij, R. M. M.},
	Date-Added = {2013-07-08 18:33:58 +0000},
	Date-Modified = {2013-07-29 20:37:39 +0000},
	Institution = {Eindhoven University of Technology},
	Title = {Condition number of the {BEM} matrix arising from the Stokes equations in {2D}},
	Year = {2007}}

@article{Fata2009,
	Author = {S. N. Fata},
	Date-Added = {2013-05-24 16:22:13 +0000},
	Date-Modified = {2015-06-03 08:54:24 +0000},
	Journal = {Int.\ J. Num.\ Meth.\ Engineering},
	Keywords = {analytical expression},
	Pages = {32--47},
	Title = {Explicit expressions for {3D} boundary integrals in potential theory},
	Volume = {78},
	Year = {2009}}

@book{BrebbiaDominguez1989,
	Author = {Brebbia, C and Dominguez, I},
	Date-Added = {2013-03-18 19:09:03 +0000},
	Date-Modified = {2013-03-18 19:09:14 +0000},
	Edition = {1st},
	Keywords = {bem},
	Publisher = {WIT Press},
	Title = {Boundary Elements An Introductory Course},
	Year = {1992}}

@book{ciskowskibrebbia1991,
	Date-Added = {2013-03-17 21:07:12 +0000},
	Date-Modified = {2013-03-17 21:07:12 +0000},
	Editor = {Ciskowski, R. D. and Brebbia, C. A},
	Publisher = {Elsevier},
	Title = {Boundary Element Methods in Acoustics},
	Year = {1991}}

@inproceedings{ZhuHuangSongWhite2001,
	Author = {Zhu, Z. and Huang, J. and Song, B. and White, J.},
	Booktitle = {Proceedings of the 2001 IEEE/ACM Int.\ Conf.\ on Computer-Aided Design},
	Date-Added = {2012-05-23 19:05:32 +0000},
	Date-Modified = {2013-01-25 01:23:20 +0000},
	Pages = {592--597},
	Title = {Improving the Robustness of a Surface Integral Formulation for Wideband Impedance Extraction of {3D} Structures},
	Year = {2001}}

@inproceedings{LiuZhangRizzo1993,
	Author = {Y. J. Liu and D. M. Zhang and F. J. Rizzo},
	Booktitle = {Transactions on Modelling and Simulation},
	Date-Added = {2011-12-19 18:33:39 -0500},
	Date-Modified = {2011-12-19 18:37:28 -0500},
	Editor = {WIT Press},
	Keywords = {singular, hypersingular},
	Title = {Nearly singular and hypersingular integrals in the boundary element method},
	Year = {1993}}

@inproceedings{Gray1998,
	Author = {L. J. Gray},
	Booktitle = {Singular integrals in the Boundary Element Method},
	Date-Added = {2011-12-19 18:29:03 -0500},
	Date-Modified = {2011-12-19 18:32:41 -0500},
	Editor = {Computational Mechanics Publishers},
	Keywords = {analytical expression, singular, hypersingular},
	Pages = {33-84},
	Title = {Evaluation of singular and hypersingular Galerkin integrals: direct limits and symbolic computation},
	Year = {1998}}

@article{DaveyHinduja1989,
	Author = {K. Davey and S. Hinduja},
	Date-Added = {2011-12-19 18:26:16 -0500},
	Date-Modified = {2011-12-19 18:28:18 -0500},
	Journal = {App.\ Math.\ Modelling},
	Keywords = {analytical expression, linear element},
	Title = {Analytical integration of linear three-dimensional trinagular elements in BEM},
	Volume = {13},
	Year = {1989}}

@article{CariniSalvadori2002,
	Author = {A. Carini and A. Salvadori},
	Date-Added = {2011-12-19 18:24:04 -0500},
	Date-Modified = {2013-07-29 20:37:51 +0000},
	Journal = {Computational Mechanics},
	Keywords = {analytical expression},
	Pages = {177-185},
	Title = {Analytical integrations in {3D} {BEM}: preliminaries},
	Volume = {28},
	Year = {2002}}

@article{MartinRizzo1996,
	Author = {P. A. Martin and F. J. Rizzo},
	Date-Added = {2011-12-19 18:20:52 -0500},
	Date-Modified = {2011-12-19 18:23:18 -0500},
	Journal = {J.\ Num.\ Meth.\ in Engineering},
	Keywords = {hypersingular, singular},
	Pages = {687-704},
	Title = {Hypersingular Integrals: how much smooth must the density be?},
	Volume = {39},
	Year = {1996}}

@book{Atkinson1997,
	Author = {K. E. Atkinson},
	Date-Added = {2011-12-19 18:16:39 -0500},
	Date-Modified = {2011-12-19 18:38:12 -0500},
	Keywords = {bie},
	Publisher = {Cambridge Monographs on Applied and Computational Mechanics},
	Title = {The Numerical Solution of Integral Equations of the Second Kind},
	Year = {1997}}

@book{BrebbiaDominguez1992,
	Author = {Brebbia, C and Dominguez, I},
	Date-Added = {2011-12-19 18:12:58 -0500},
	Date-Modified = {2013-03-18 19:09:18 +0000},
	Edition = {2nd},
	Keywords = {bem},
	Publisher = {WIT Press},
	Title = {Boundary Elements An Introductory Course},
	Year = {1992}}

@book{RjasanowSteinbach2007,
	Author = {S. Rjasanow and O. Steinbach},
	Date-Added = {2011-12-19 18:08:28 -0500},
	Date-Modified = {2011-12-19 18:42:48 -0500},
	Keywords = {analytical expression},
	Publisher = {Springer},
	Title = {The Fast Solution of Boundary Integral Equations},
	Year = {2007}}

@article{Newman1986,
	Author = {J. N. Newman},
	Date-Added = {2011-12-19 18:05:21 -0500},
	Date-Modified = {2011-12-19 18:07:19 -0500},
	Journal = {J.\ Eng.\ Mathematics},
	Keywords = {analytical expression},
	Pages = {113-126},
	Title = {Distributions of sources and normal dipoles over a quadrilateral panel},
	Volume = {20},
	Year = {1986}}

@article{Fata2011,
	Author = {S. N. Fata},
	Date-Added = {2011-12-19 18:02:05 -0500},
	Date-Modified = {2015-06-03 08:55:45 +0000},
	Journal = {J.\ Comp.\ App.\ Mathematics},
	Keywords = {analytical expression},
	Pages = {4480--4495},
	Title = {Explicit expressions for three-dimensional boundary integrals in linear elasticity},
	Volume = {235},
	Year = {2011}}

@book{Liu2009,
	Author = {Yijun Liu},
	Date-Added = {2011-12-19 17:59:55 -0500},
	Date-Modified = {2011-12-19 18:15:55 -0500},
	Keywords = {fmm, bem},
	Publisher = {Cambridge University Press},
	Title = {Fast Multipole Boundary Element Method. Theory and Application in Engineering},
	Year = {2009}}

@book{Katsikadelis2002,
	Author = {J. T. Katsikadelis},
	Date-Added = {2011-12-19 17:54:05 -0500},
	Date-Modified = {2011-12-19 18:19:40 -0500},
	Keywords = {bem},
	Publisher = {Elsevier Science},
	Title = {Boundary Elements Theory and Applications},
	Year = {2002}}