메뉴 건너뛰기




Volumn 173, Issue 2, 2005, Pages 247-258

A fourth-order Magnus scheme for Helmholtz equation

Author keywords

Helmholtz equation; Magnus method; Operator marching method; Waveguide

Indexed keywords

APPROXIMATION THEORY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEAR EQUATIONS; OSCILLATIONS; PROBLEM SOLVING; WAVEGUIDES;

EID: 8144229148     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.03.010     Document Type: Article
Times cited : (30)

References (19)
  • 1
    • 0141780468 scopus 로고    scopus 로고
    • Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers?
    • Babuska I.M. Sauter S.A. Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? SIAM Rev. 42 3 2000 451-484
    • (2000) SIAM Rev. , vol.42 , Issue.3 , pp. 451-484
    • Babuska, I.M.1    Sauter, S.A.2
  • 2
    • 0020783718 scopus 로고
    • A coupled mode solution for acoustic propagation in a waveguide with stepwise variations of a penetrable bottom
    • Evans R. A coupled mode solution for acoustic propagation in a waveguide with stepwise variations of a penetrable bottom J. Acoust. Soc. Am. 74 1983 188-195
    • (1983) J. Acoust. Soc. Am. , vol.74 , pp. 188-195
    • Evans, R.1
  • 3
    • 0027659734 scopus 로고
    • One-way wave propagation methods in direct and inverse scalar wave propagation modeling
    • Fishman L. One-way wave propagation methods in direct and inverse scalar wave propagation modeling Rad. Sci. 28 5 1993 865-876
    • (1993) Rad. Sci. , vol.28 , Issue.5 , pp. 865-876
    • Fishman, L.1
  • 4
    • 0033076250 scopus 로고    scopus 로고
    • On the pollution effect in FE solutions of the 3D-Helmholtz equation
    • Gerdes K. Ihlenburg F. On the pollution effect in FE solutions of the 3D-Helmholtz equation Comput. Method. Appl. Mech. Eng. 170 1-2 1999 155-172
    • (1999) Comput. Method. Appl. Mech. Eng. , vol.170 , Issue.1-2 , pp. 155-172
    • Gerdes, K.1    Ihlenburg, F.2
  • 5
    • 2942576160 scopus 로고    scopus 로고
    • On Magnus integrators for time-dependent Schrödinger equations
    • Hochbruck M. Lubich C. On Magnus integrators for time-dependent Schrödinger equations SIAM J. Numer. Anal. 41 3 2003 945-963
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.3 , pp. 945-963
    • Hochbruck, M.1    Lubich, C.2
  • 6
    • 0001299857 scopus 로고    scopus 로고
    • Finite element solution of the Helmholtz equation with high wave number 2. The h-p version of the FEM
    • Ihlenburg F. Babuska I. Finite element solution of the Helmholtz equation with high wave number 2. The h-p version of the FEM SIAM J. Numer. Anal. 34 1 1997 315-358
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.1 , pp. 315-358
    • Ihlenburg, F.1    Babuska, I.2
  • 7
    • 0042735340 scopus 로고    scopus 로고
    • On the global error of discretization methods for highly-oscillatory ordinary differential equations
    • Iserles A. On the global error of discretization methods for highly-oscillatory ordinary differential equations BIT 42 2002 561-599
    • (2002) BIT , vol.42 , pp. 561-599
    • Iserles, A.1
  • 8
    • 8144219637 scopus 로고    scopus 로고
    • On the numerical analysis of high oscillation
    • DAMTP Technical Report 2003/NA06, University of Cambridge
    • A. Iserles, On the numerical analysis of high oscillation, DAMTP Technical Report 2003/NA06, University of Cambridge, 2003
    • (2003)
    • Iserles, A.1
  • 9
  • 10
    • 0142086987 scopus 로고    scopus 로고
    • Numerical integrators for quantum dynamics close to the adiabatic limit
    • Jahnke T. Lubich C. Numerical integrators for quantum dynamics close to the adiabatic limit Numer. Math. 94 2003 289-314
    • (2003) Numer. Math. , vol.94 , pp. 289-314
    • Jahnke, T.1    Lubich, C.2
  • 12
    • 0033297033 scopus 로고    scopus 로고
    • A domain decomposition method for the Helmholtz equation in a multilayer domain
    • Larsson E. A domain decomposition method for the Helmholtz equation in a multilayer domain SIAM J. Sci. Comput. 20 5 1999 1713-1731
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.5 , pp. 1713-1731
    • Larsson, E.1
  • 13
    • 0000082914 scopus 로고    scopus 로고
    • One-way large range step methods for Helmholtz waveguides
    • Lu Y.Y. One-way large range step methods for Helmholtz waveguides J. Comput. Phys. 152 1 1999 231-250
    • (1999) J. Comput. Phys. , vol.152 , Issue.1 , pp. 231-250
    • Lu, Y.Y.1
  • 14
    • 0041760058 scopus 로고    scopus 로고
    • Fourth order conservative exponential methods for linear evolution equations
    • Lu Y.Y. Fourth order conservative exponential methods for linear evolution equations BIT 40:4 2000 762-774
    • (2000) BIT , vol.40 , Issue.4 , pp. 762-774
    • Lu, Y.Y.1
  • 15
    • 0029660264 scopus 로고    scopus 로고
    • The Riccati method for the Helmholtz equation
    • Lu Y.Y. McLaughlin J.R. The Riccati method for the Helmholtz equation J. Acoust. Soc. Am. 100 3 1996 1432-1446
    • (1996) J. Acoust. Soc. Am. , vol.100 , Issue.3 , pp. 1432-1446
    • Lu, Y.Y.1    McLaughlin, J.R.2
  • 16
    • 0035384895 scopus 로고    scopus 로고
    • Local orthogonal transformation and one-way methods for acoustics waveguides
    • Lu Y.Y. Huang J. McLaughlin J.R. Local orthogonal transformation and one-way methods for acoustics waveguides Wave Motion 34/2 2001 193-207
    • (2001) Wave Motion , vol.34 , Issue.2 , pp. 193-207
    • Lu, Y.Y.1    Huang, J.2    McLaughlin, J.R.3
  • 17
    • 0035916190 scopus 로고    scopus 로고
    • Incomplete factorization-based preconditionings for solving the Helmholtz equation
    • Magolu M. Made M. Incomplete factorization-based preconditionings for solving the Helmholtz equation Internat. J. Numer. Methods Eng. 50 5 2001 1077-1101
    • (2001) Internat. J. Numer. Methods Eng. , vol.50 , Issue.5 , pp. 1077-1101
    • Magolu, M.1    Made, M.2
  • 18
    • 0033233449 scopus 로고    scopus 로고
    • Iterative solution of the Helmholtz equation by a second-order method
    • Otto K. Larsson E. Iterative solution of the Helmholtz equation by a second-order method SIAM J. Matrix Anal. Appl. 21 1 1999 209-229
    • (1999) SIAM J. Matrix Anal. Appl. , vol.21 , Issue.1 , pp. 209-229
    • Otto, K.1    Larsson, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.