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Volumn 191, Issue 1, 2006, Pages 106-125

Fast solvers for 3D Poisson equations involving interfaces in a finite or the infinite domain

Author keywords

Arbitrary interface; Artificial boundary condition; Extension of jumps; Fast 3D Poisson solver; Immersed interface method; Infinite domain; Level set function; Spherical coordinates

Indexed keywords

ARBITRARY INTERFACE; ARTIFICIAL BOUNDARY CONDITION; EXTENSION OF JUMPS; FAST 3D POISSON SOLVER; IMMERSED INTERFACE METHOD; INFINITE DOMAIN; LEVEL SET FUNCTION; SPHERICAL COORDINATES;

EID: 33644860885     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.025     Document Type: Article
Times cited : (15)

References (22)
  • 3
    • 0000753548 scopus 로고
    • Boundary conditions for the numerical solution of elliptic equations in exterior regions
    • A. Bayliss, M. Gunzburger, and E. Turkel Boundary conditions for the numerical solution of elliptic equations in exterior regions SIAM J. Appl. Math. 42 2 1982 430 451
    • (1982) SIAM J. Appl. Math. , vol.42 , Issue.2 , pp. 430-451
    • Bayliss, A.1    Gunzburger, M.2    Turkel, E.3
  • 4
    • 0037286692 scopus 로고    scopus 로고
    • Accurate numerical methods for micromagnetics simulations with general geometries
    • C.J. Garcia-Cervera, Z. Gimbutas, E. Weinan, Accurate numerical methods for micromagnetics simulations with general geometries, J. Comput. Phys. 184 (2003) 37-52.
    • (2003) J. Comput. Phys. , vol.184 , pp. 37-52
    • Garcia-Cervera, C.J.1    Gimbutas, Z.2    Weinan, E.3
  • 5
    • 14744294384 scopus 로고    scopus 로고
    • An immersed interface method for anisotropic elliptic problems on irregular domains in 2D
    • M. Dumett, J.P. Keener, An immersed interface method for anisotropic elliptic problems on irregular domains in 2D, Numer. Meth. Part. D. E. 21 (2005) 397-420.
    • (2005) Numer. Meth. Part. D. E. , vol.21 , pp. 397-420
    • Dumett, M.1    Keener, J.P.2
  • 6
    • 1842462884 scopus 로고    scopus 로고
    • Selected problems in material science
    • B. Engquist, W. Schmid (Eds.), Springer
    • E. Weinan, Selected problems in material science, in: B. Engquist, W. Schmid (Eds.), Mathematics Unlimited-2001 and Beyond, Springer, 2001.
    • (2001) Mathematics Unlimited-2001 and beyond
    • Weinan, E.1
  • 8
    • 0000396658 scopus 로고
    • A fast algorithm for particle summations
    • L. Greengard, and V. Rokhlin A fast algorithm for particle summations J. Comput. Phys. 73 1987 325 348
    • (1987) J. Comput. Phys. , vol.73 , pp. 325-348
    • Greengard, L.1    Rokhlin, V.2
  • 9
    • 0036031949 scopus 로고    scopus 로고
    • A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries
    • M.-C. Lai, W.-W. Lin, and W. Wang A fast spectral/difference method without pole conditions for Poisson-type equations in cylindrical and spherical geometries IMA J. Numer. Anal. 22 2002 537 548
    • (2002) IMA J. Numer. Anal. , vol.22 , pp. 537-548
    • Lai, M.-C.1    Lin, W.-W.2    Wang, W.3
  • 10
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • R.J. LeVeque, and Z. Li The immersed interface method for elliptic equations with discontinuous coefficients and singular sources SIAM J. Numer. Anal. 31 1994 1019 1044
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • Leveque, R.J.1    Li, Z.2
  • 11
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface method for Stokes flow with elastic boundaries or surface tension
    • R.J. LeVeque, and Z. Li Immersed interface method for Stokes flow with elastic boundaries or surface tension SIAM J. Sci. Comput. 18 1997 709 735
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 709-735
    • Leveque, R.J.1    Li, Z.2
  • 13
    • 0003050917 scopus 로고    scopus 로고
    • A note on immersed interface methods for three dimensional elliptic equations
    • Z. Li A note on immersed interface methods for three dimensional elliptic equations Comput. Math. Appl. 31 1996 9 17
    • (1996) Comput. Math. Appl. , vol.31 , pp. 9-17
    • Li, Z.1
  • 14
    • 0000641836 scopus 로고    scopus 로고
    • A fast iterative algorithm for elliptic interface problems
    • Z. Li A fast iterative algorithm for elliptic interface problems SIAM J. Numer. Anal. 35 1998 230 254
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 230-254
    • Li, Z.1
  • 15
    • 0036208213 scopus 로고    scopus 로고
    • Maximum principle preserving schemes for interface problems with discontinuous coefficients
    • Z. Li, and K. Ito Maximum principle preserving schemes for interface problems with discontinuous coefficients SIAM J. Sci. Comput. 23 2001 1225 1242
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 1225-1242
    • Li, Z.1    Ito, K.2
  • 16
    • 1842459571 scopus 로고    scopus 로고
    • New formulations for interface problems in polar coordinates
    • Z. Li, W.-C. Wang, I.-L. Chern, M.-C. Lai, New formulations for interface problems in polar coordinates, SIAM J. Sci. Comput., 25 (2003) 224-245.
    • (2003) SIAM J. Sci. Comput. , vol.25 , pp. 224-245
    • Li, Z.1    Wang, W.-C.2    Chern, I.-L.3    Lai, M.-C.4
  • 20
    • 0016326782 scopus 로고
    • A direct method for the discrete solution of separable elliptic equations
    • P.N. Swarztrauber A direct method for the discrete solution of separable elliptic equations SIAM J. Numer. Anal. 11 1974 1136 1149
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 1136-1149
    • Swarztrauber, P.N.1
  • 21
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains. a review
    • S. Tsynkov Numerical solution of problems on unbounded domains. a review Appl. Numer. Math. 27 1998 465 532
    • (1998) Appl. Numer. Math. , vol.27 , pp. 465-532
    • Tsynkov, S.1
  • 22
    • 0007208482 scopus 로고    scopus 로고
    • Nonlinear potential theory and weighted Sobolev spaces
    • Springer, Berlin
    • B.O. Turesson, Nonlinear potential theory and weighted Sobolev spaces, Lecture Notes in Mathematics, vol. 1736, Springer, Berlin, 2000.
    • (2000) Lecture Notes in Mathematics , vol.1736
    • Turesson, B.O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.