Modeling holes and inclusions by level sets in the extended finite-element method
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Barth, 1998, Numerical schemes for the Hamilton–Jacobi and level set equations on triangulated domains, J. Comput. Phys., 145, 1, 10.1006/jcph.1998.6007
Daux, 2000, Arbitrary cracks and holes with the extended finite element method, Int. J. Numer. Methods Engrg., 48, 1741, 10.1002/1097-0207(20000830)48:12<1741::AID-NME956>3.0.CO;2-L
Dolbow, 2000, Modeling fracture in Mindlin–Reissner plates with the extended finite element method, Int. J. Solids Struct., 37, 7161, 10.1016/S0020-7683(00)00194-3
C.A. Duarte, I. Babuška, J.T. Oden, Generalized finite element methods for three dimensional structural mechanics problems, in: S.N. Atluri, P.E. O'Donoghue (Eds.), Modeling and Simulation Based Engineering: Proceedings of the International Conference on Computational Engineering Science, vol. I, Technical Science Press, Atlanta, GA, October 1998, pp. 53–58
Duarte, 2000, Generalized finite element methods for three dimensional structural mechanics problems, Comput. Struct., 77, 215, 10.1016/S0045-7949(99)00211-4
Krongauz, 1998, EFG approximation with discontinuous derivatives, Int. J. Numer. Methods Engrg., 41, 1215, 10.1002/(SICI)1097-0207(19980415)41:7<1215::AID-NME330>3.0.CO;2-#
Melenk, 1996, The partition of unity finite element method: Basic theory and applications, Comput. Methods Appl. Mech. Engrg., 139, 289, 10.1016/S0045-7825(96)01087-0
Moës, 1999, A finite element method for crack growth without remeshing, Int. J. Numer. Methods Engrg., 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
J.T. Oden, C.A. Duarte, O.C. Zienkiewicz, A new cloud-based hp finite element method, Technical Report TICAM Report 96-55, The University of Texas at Austin, Austin, TX, December 1996
Oden, 1998, A new cloud-based hp finite element method, Comput. Methods Appl. Mech. Engrg., 153, 117, 10.1016/S0045-7825(97)00039-X
Osher, 1988, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton–Jacobi formulations, J. Comput. Phys., 79, 12, 10.1016/0021-9991(88)90002-2
Sethian, 1996, A marching level set method for monotonically advancing fronts, Proc. Nat. Acad. Sci., 93, 1591, 10.1073/pnas.93.4.1591
Sethian, 1999
Strouboulis, 2000, The design and analysis of the generalized finite element method, Comput. Methods Appl. Mech. Engrg., 181, 43, 10.1016/S0045-7825(99)00072-9
Strouboulis, 2000, The generalized finite element method: An example of its implementation and illustration of its performance, Int. J. Numer. Methods Engrg., 47, 1401, 10.1002/(SICI)1097-0207(20000320)47:8<1401::AID-NME835>3.0.CO;2-8
N. Sukumar, D.L. Chopp, B. Moran, Extended finite element method and fast marching method for three dimensional fatigue crack propagation, J. Comput. Phys. (submitted)
Sukumar, 2000, Extended finite element method for three-dimensional crack modeling, Int. J. Numer. Methods Engrg., 48, 1549, 10.1002/1097-0207(20000820)48:11<1549::AID-NME955>3.0.CO;2-A
Szabó, 1991