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Balancing domain decomposition method
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<h2 id="external-links">External links</h2> <ul><li><a href="https://web.archive.org/web/20080228054053/http://www.mgnet.org/mgnet/Codes/jmandel/">BDD reference implementation at mgnet.org</a></li> <li><a href="http://www.domain-decomposition.com">Domain Decomposition – Theory, publications, methods, algorithms.</a> <a href="https://web.archive.org/web/20110710143436/http://www.domain-decomposition.com/">Archived</a> 2011-07-10 at the <a href="/facts/Wayback_Machine/nmQ3a6JC">Wayback Machine</a></li></ul> <h2 id="references">References</h2> <ol> <li id="fn:1"><p>J. Mandel, Balancing domain decomposition, Comm. Numer. Methods Engrg., 9 (1993), pp. 233–241. doi:10.1002/cnm.1640090307 <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li> <li id="fn:2"><p>L. C. Cowsar, J. Mandel, and M. F. Wheeler, Balancing domain decomposition for mixed finite elements, Math. Comp., 64 (1995), pp. 989–1015. doi:10.1090/S0025-5718-1995-1297465-9 <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li> <li id="fn:3"><p>P. Le Tallec, J. Mandel, and M. Vidrascu, A Neumann–Neumann domain decomposition algorithm for solving plate and shell problems, SIAM Journal on Numerical Analysis, 35 (1998), pp. 836–867. doi:10.1137/S0036142995291019 <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li> <li id="fn:4"><p>P. Le Tallec, J. Mandel, and M. Vidrascu, A Neumann–Neumann domain decomposition algorithm for solving plate and shell problems, SIAM Journal on Numerical Analysis, 35 (1998), pp. 836–867. doi:10.1137/S0036142995291019 <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li> <li id="fn:5"><p>J. Mandel and C. R. Dohrmann, Convergence of a balancing domain decomposition by constraints and energy minimization, Numer. Linear Algebra Appl., 10 (2003), pp. 639–659. doi:10.1002/nla.341 <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li> <li id="fn:6"><p>M. Bhardwaj, D. Day, C. Farhat, M. Lesoinne, K. Pierson, and D. Rixen, Application of the FETI method to ASCI problems – scalability results on 1000 processors and discussion of highly heterogeneous problems, International Journal for Numerical Methods in Engineering, 47 (2000), pp. 513–535. doi:10.1002/(SICI)1097-0207(20000110/30)47:1/3<513::AID-NME782>3.0.CO;2-V <a href="/wiki/Doi_(identifier)" target="_blank">/wiki/Doi_(identifier)</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li> <li id="fn:7"><p>Y. Fragakis, Force and displacement duality in Domain Decomposition Methods for Solid and Structural Mechanics. To appear in Comput. Methods Appl. Mech. Engrg., 2007. <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li> <li id="fn:8"><p>B. Sousedík and J. Mandel, On the equivalence of primal and dual substructuring preconditioners. arXiv:math/0802.4328, 2008. <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li> </ol>