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Volumn 20, Issue 7, 2012, Pages

Extended smoothed boundary method for solving partial differential equations with general boundary conditions on complex boundaries

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY METHOD; COMPLEX GEOMETRIES; CONTINUOUS FUNCTIONS; DIFFUSION EQUATIONS; DOMAIN PARAMETERS; GENERAL BOUNDARY CONDITIONS; IRREGULAR SURFACE; MATHEMATICAL DERIVATION; MECHANICAL EQUILIBRIUM; NEUMANN AND DIRICHLET BOUNDARY CONDITIONS; NUMERICAL SOLUTION; ORIGINAL DIFFERENTIAL EQUATIONS; SUBSTRATE SURFACE;

EID: 84867222015     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/20/7/075008     Document Type: Article
Times cited : (109)

References (88)
  • 1
    • 33845742183 scopus 로고    scopus 로고
    • ∞ extension of a function defined on an irregular region to a rectangle via convolution with Gaussian kernels
    • DOI 10.1016/j.amc.2006.06.029, PII S0096300306006151
    • Bueno-Orovio A 2006 Appl. Math. Comput. 183 813-8 (Pubitemid 46014634)
    • (2006) Applied Mathematics and Computation , vol.183 , Issue.2 , pp. 813-818
    • Bueno-Orovio, A.1
  • 5
    • 33751544551 scopus 로고    scopus 로고
    • 10.1017/S0962492902000077 0962-4929
    • Peskin C S 2002 Acta Numer. 11 479-517
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 6
    • 10044234233 scopus 로고    scopus 로고
    • 10.1016/j.amc.2003.12.068 0096-3003
    • Boyd J P 2005 Appl. Math. Comput. 161 591-7
    • (2005) Appl. Math. Comput. , vol.161 , Issue.2 , pp. 591-597
    • Boyd, J.P.1
  • 9
    • 58849135272 scopus 로고    scopus 로고
    • 10.1016/j.cam.2008.08.034 0377-0427
    • Lui S H 2009 J. Comput. Appl. Math. 225 541-57
    • (2009) J. Comput. Appl. Math. , vol.225 , Issue.2 , pp. 541-557
    • Lui, S.H.1
  • 14
    • 0037429531 scopus 로고    scopus 로고
    • Transport and diffusion of material quantities on propagating interfaces via level set methods
    • DOI 10.1016/S0021-9991(02)00057-8
    • Adalsteinsson D and Sethian J A 2003 J. Comput. Phys. 185 271-88 (Pubitemid 36270002)
    • (2003) Journal of Computational Physics , vol.185 , Issue.1 , pp. 271-288
    • Adalsteinsson, D.1    Sethian, J.A.2
  • 15
  • 16
    • 4243457001 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.57.4323 1063-651X E
    • Karma A and Rappel W-J 1998 Phys. Rev. E 57 4323-49
    • (1998) Phys. Rev. , vol.57 , Issue.4 , pp. 4323-4349
    • Karma, A.1    Rappel, W.-J.2
  • 17
    • 0000752997 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.60.3614 1063-651X E
    • Karma A and Rappel W-J 1999 Phys. Rev. E 60 3614-25
    • (1999) Phys. Rev. , vol.60 , Issue.4 , pp. 3614-3625
    • Karma, A.1    Rappel, W.-J.2
  • 18
    • 2342581048 scopus 로고
    • 10.1063/1.434402 0021-9606
    • Cahn J W 1977 J. Chem. Phys. 66 3667-72
    • (1977) J. Chem. Phys. , vol.66 , Issue.8 , pp. 3667-3672
    • Cahn, J.W.1
  • 21
    • 33748867168 scopus 로고    scopus 로고
    • A variational approach to moving contact line hydrodynamics
    • DOI 10.1017/S0022112006001935, PII S0022112006001935
    • Qian T, Wang X-P and Ping S 2006 J. Fluid Mech. 564 333-60 (Pubitemid 44420003)
    • (2006) Journal of Fluid Mechanics , vol.564 , pp. 333-360
    • Qian, T.1    Wang, X.-P.2    Sheng, P.3
  • 24
    • 17744397787 scopus 로고    scopus 로고
    • Modeling wave propagation in realistic heart geometries using the phase-field method
    • DOI 10.1063/1.1840311, 013502
    • Fenton F H, Cherry E M, Karma A and Rappel W-J 2005 Chaos 15 013502 (Pubitemid 40579394)
    • (2005) Chaos , vol.15 , Issue.1 , pp. 1-11
    • Fenton, F.H.1    Cherry, E.M.2    Karma, A.3    Rappel, W.-J.4
  • 38
    • 0018480694 scopus 로고
    • Microscopic theory for antiphase boundary motion and its applications to antiphase domain coarsening
    • DOI 10.1016/0001-6160(79)90196-2
    • Allen S M and Cahn J W 1979 Acta Metall. 27 1085-95 (Pubitemid 9459465)
    • (1979) Acta Metall , vol.27 , Issue.6 , pp. 1085-1095
    • Allen Samuel, M.1    Cahn John, W.2
  • 40
    • 0036036465 scopus 로고    scopus 로고
    • Phase-field models for microstructure evolution
    • DOI 10.1146/annurev.matsci.32.112001.132041
    • Chen L Q 2002 Annu. Rev. Mater. Res. 32 113-40 (Pubitemid 34992567)
    • (2002) Annual Review of Materials Science , vol.32 , pp. 113-140
    • Chen, L.-Q.1
  • 43
    • 84867193075 scopus 로고    scopus 로고
    • Voigt A and Lowengrub J 2009 private communication
    • Voigt A and Lowengrub J 2009 private communication
  • 46
    • 0002521331 scopus 로고    scopus 로고
    • 10.1006/jcph.1999.6332 0021-9991
    • Jacqmin D 1999 J. Comput. Phys. 155 96-127
    • (1999) J. Comput. Phys. , vol.155 , Issue.1 , pp. 96-127
    • Jacqmin, D.1
  • 47
    • 15944426108 scopus 로고    scopus 로고
    • A continuous surface tension force formulation for diffuse-interface models
    • DOI 10.1016/j.jcp.2004.10.032, PII S0021999104004383
    • Kim J 2005 J. Comput. Phys. 204 784-804 (Pubitemid 40435831)
    • (2005) Journal of Computational Physics , vol.204 , Issue.2 , pp. 784-804
    • Kim, J.1
  • 48
    • 29244465817 scopus 로고    scopus 로고
    • Phase field simulations of early stage structure formation during immersion precipitation of polymeric membranes in 2D and 3D
    • DOI 10.1016/j.memsci.2005.05.030, PII S037673880500459X
    • Zhou B and Powell A C 2006 J. Membr. Sci. 268 150-64 (Pubitemid 41828004)
    • (2006) Journal of Membrane Science , vol.268 , Issue.2 , pp. 150-164
    • Zhou, B.1    Powell, A.C.2
  • 53
    • 4043050123 scopus 로고    scopus 로고
    • 10.1016/j.actamat.2004.06.039 1359-6454
    • Strandlund H and Larsson H 2004 Acta Mater. 52 4695-703
    • (2004) Acta Mater. , vol.52 , Issue.15 , pp. 4695-4703
    • Strandlund, H.1    Larsson, H.2
  • 54
    • 31044437391 scopus 로고    scopus 로고
    • Unified treatment of Kirkendall shift and migration of phase interfaces
    • DOI 10.1016/j.actamat.2005.10.022, PII S135964540500621X
    • Larsson H, Strandlund H and Hillert M 2006 Acta Mater. 54 945-51 (Pubitemid 43121371)
    • (2006) Acta Materialia , vol.54 , Issue.4 , pp. 945-951
    • Larsson, H.1    Strandlund, H.2    Hillert, M.3
  • 56
    • 35748930234 scopus 로고    scopus 로고
    • Substitutional diffusion and Kirkendall effect in binary crystalline solids containing discrete vacancy sources and sinks
    • DOI 10.1016/j.actamat.2007.08.031, PII S1359645407005691
    • Yu H-C, Yeon D-H, Van der Ven A and Thornton K 2007 Acta Mater. 55 6690-704 (Pubitemid 350051994)
    • (2007) Acta Materialia , vol.55 , Issue.20 , pp. 6690-6704
    • Yu, H.-C.1    Yeon, D.-H.2    Van Der Ven, A.3    Thornton, K.4
  • 61
    • 0024092550 scopus 로고
    • 10.1016/0001-6160(88)90114-9 0001-6160
    • Stephenson G B 1988 Acta Metall. 36 2663-83
    • (1988) Acta Metall. , vol.36 , Issue.10 , pp. 2663-2683
    • Stephenson, G.B.1
  • 66
    • 84867218808 scopus 로고    scopus 로고
    • Yu H-C 2009 Rigorous model and simulations of the Kirkendall effect diffusion in substitutional bindary alloys PhD Thesis University of Michigan
    • (2009) PhD Thesis
    • Yu, H.-C.1
  • 67
    • 33750452711 scopus 로고    scopus 로고
    • Interface instability and nanostructure patterning
    • DOI 10.1016/j.commatsci.2006.03.015, PII S0927025606000838
    • Kim D and Lu W 2006 Comput. Mater. Sci. 38 418-25 (Pubitemid 44649222)
    • (2006) Computational Materials Science , vol.38 , Issue.2 , pp. 418-425
    • Kim, D.1    Lu, W.2
  • 68
    • 33749607796 scopus 로고    scopus 로고
    • Creep flow, diffusion, and electromigration in small scale interconnects
    • DOI 10.1016/j.jmps.2006.06.001, PII S0022509606001037
    • Kim D and Lu W 2006 J. Mech. Phys. Solids. 54 2554-68 (Pubitemid 44548556)
    • (2006) Journal of the Mechanics and Physics of Solids , vol.54 , Issue.12 , pp. 2554-2568
    • Kim, D.1    Lu, W.2
  • 70
    • 25044477813 scopus 로고
    • 10.1103/PhysRevB.4.1111 0556-2805 B
    • Manning J R 1971 Phys. Rev. B 4 1111-25
    • (1971) Phys. Rev. , vol.4 , Issue.4 , pp. 1111-1125
    • Manning, J.R.1
  • 71
    • 0034161019 scopus 로고    scopus 로고
    • 10.1080/01418610008212070 0141-8610 A
    • Belova I V and Murch G E 2000 Phil. Mag. A 80 599-607
    • (2000) Phil. Mag. , vol.80 , Issue.3 , pp. 599-607
    • Belova, I.V.1    Murch, G.E.2
  • 75
    • 33846298521 scopus 로고    scopus 로고
    • The effect of oxygen vacancy concentration on the elastic modulus of fluorite-structured oxides
    • DOI 10.1016/j.ssi.2006.11.003, PII S0167273806006680
    • Wang Y L, Duncan K, Wachsman E D and Ebrahimi F 2007 Solid State Ion. 178 53-8 (Pubitemid 46123596)
    • (2007) Solid State Ionics , vol.178 , Issue.1-2 , pp. 53-58
    • Wang, Y.1    Duncan, K.2    Wachsman, E.D.3    Ebrahimi, F.4
  • 78
    • 3242875567 scopus 로고    scopus 로고
    • A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
    • DOI 10.1016/j.jcp.2004.01.029, PII S0021999104000373
    • Du Q, Liu C and Wang X 2004 J. Comput. Phys. 198 450-68 (Pubitemid 38999047)
    • (2004) Journal of Computational Physics , vol.198 , Issue.2 , pp. 450-468
    • Du, Q.1    Liu, C.2    Wang, X.3
  • 84
    • 84867194136 scopus 로고    scopus 로고
    • Park C L, Voorhees P W and Thornton K 2010 private communication
    • Park C L, Voorhees P W and Thornton K 2010 private communication
  • 85
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • DOI 10.1006/jcph.1994.1155
    • Sussman M, Smereka P and Osher S 1994 J. Comput. Phys. 114 146-59 (Pubitemid 124013478)
    • (1994) Journal of Computational Physics , vol.114 , Issue.1 , pp. 146-159
    • Sussman, M.1


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