### Abstract

Numerical solution of the two-dimensional wave equation requires mapping from a physical domain without boundaries to a computational domain with artificial boundaries. For realistic solutions, the artificial boundaries should cause waves to pass directly through and thus mimic total absorption of energy. An artificial boundary which propagates waves in one direction only is derived from approximations to the one-way wave equation and is commonly called an absorbing boundary. Here we investigate order 2 absorbing boundary conditions which include the standard paraxial approximation. -from Authors

Original language | English (US) |
---|---|

Pages (from-to) | 1153-1163 |

Number of pages | 11 |

Journal | Geophysics |

Volume | 54 |

Issue number | 9 |

State | Published - 1989 |

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### ASJC Scopus subject areas

- Geochemistry and Petrology

### Cite this

*Geophysics*,

*54*(9), 1153-1163.

**Stability of wide-angle absorbing boundary conditions for the wave equation.** / Renaut, Rosemary; Petersen, J.

Research output: Contribution to journal › Article

*Geophysics*, vol. 54, no. 9, pp. 1153-1163.

}

TY - JOUR

T1 - Stability of wide-angle absorbing boundary conditions for the wave equation

AU - Renaut, Rosemary

AU - Petersen, J.

PY - 1989

Y1 - 1989

N2 - Numerical solution of the two-dimensional wave equation requires mapping from a physical domain without boundaries to a computational domain with artificial boundaries. For realistic solutions, the artificial boundaries should cause waves to pass directly through and thus mimic total absorption of energy. An artificial boundary which propagates waves in one direction only is derived from approximations to the one-way wave equation and is commonly called an absorbing boundary. Here we investigate order 2 absorbing boundary conditions which include the standard paraxial approximation. -from Authors

AB - Numerical solution of the two-dimensional wave equation requires mapping from a physical domain without boundaries to a computational domain with artificial boundaries. For realistic solutions, the artificial boundaries should cause waves to pass directly through and thus mimic total absorption of energy. An artificial boundary which propagates waves in one direction only is derived from approximations to the one-way wave equation and is commonly called an absorbing boundary. Here we investigate order 2 absorbing boundary conditions which include the standard paraxial approximation. -from Authors

UR - http://www.scopus.com/inward/record.url?scp=0024921266&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024921266&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024921266

VL - 54

SP - 1153

EP - 1163

JO - Geophysics

JF - Geophysics

SN - 0016-8033

IS - 9

ER -