[1] TADI M. A fixed-grid local method for 1-D Stefan problems[J]. Applied mathematics and computation,2012,219(4):2331-2341.
[2]SONG T,UPRETI K,SUBBARAYAN G. A sharp interface isogeometric solution to the Stefan problem[J]. Computer methods in applied mechanics and engineering,2015,284:556-582.
[3]PESKIN C S. Numerical analysis of blood flow in the heart[J]. Journal of computational physics,1977,25(3):220-252.
[4]LEVEQUE R,LI Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources[J]. SIAM J Numer Anal,1994,31(4):1019-1044.
[5]BEALE J,LAYTON A. On the accuracy of finite difference methods for elliptic problems with interfaces[J]. Communications in applied mathematics and computational science,2008,1(1):91-119.[6]LEVEQUE R,LI Z. Immersed interface methods for stokes flow with elastic boundaries or surface tension[J]. SIAM journal on scientific computing,1997,18(3):709-735.
[7]LEE L,LEVEQUE R. An immersed interface method for incompressible Navier-Stokes equations[J]. SIAM journal on scientific computing,2006,25(3):832-856.
[8]YANG X,LI B,LI Z. The immersed interface method for elasticity problems with interfaces[J]. Dynamics of continuous discrete and impulsive systems,2002,10(5):783-808.
[9]TAN Z,LE D,LI Z,et al. An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane[J]. Journal of computational physics,2008,227(23):9955-9983.
[10]TAN Z,LIM K,KHOO B. An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries[J]. Journal of computational physics,2009,228(18):6855-6881.
[11]JI H,CHEN J,LI Z. A new augmented immersed finite element method without using SVD interpolations[J]. Numerical algorithms,2016,71,395-416.