Stability analysis of finite element methods for the acoustic wave equation with absorbing boundary conditions (Part I)

Journal of Computational Mathematics

Volumn 17, Issue 3, 1999, Pages 293-306

  Shao, Xiu Min ^a   Lan, Zhi Ling ^a  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; INITIAL VALUE PROBLEMS; WAVE EQUATIONS;

ABSORBING BOUNDARY CONDITIONS; ACOUSTIC WAVE EQUATIONS;

ACOUSTIC WAVE PROPAGATION;

EID: 0032641308     PISSN: 02549409     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. D. Givoli, Numerical Methods for Problems in Infinite Domains, Elsevier Science Publishers B. V., 1992.
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3. B. Engquist, A. Majda, Absorbing Boundary Conditions for the Numerical Simulation of Waves, Math. CompuL, 31 (1977), 629-652.
4. B. Engquist, A. Majda, Radiation Boundary Conditions for Acoustic and Elastic Calculations, Comm. Pure Appl. Math., 32 (1979), 313-357.
5. Xiumin Shao, Zhiling Lan, Absorbing Boundary Conditions for Anisotropie Elastic Wave Equations, J. Geophy., 1995 (In Chinese).
6. D. Sheen, Second-Order Absorbing Boundary Conditions for the Wave Equation in a Rectangular Domain, Math. Comput, 61 (1993), 595-606.
7. Yulin Zhou, Applications of Discrete Functional Analysis to the Finite Difference Method, International Academic Publishers, 1990.