The Double Absorbing Boundary Method Incorporated in a High-Order Spectral Element Formulation

Symeon Papadimitropoulos, Daniel Rabinovich, Dan Givoli

Research output: Contribution to journalArticlepeer-review


In this paper, we consider the numerical solution of the time-dependent wave equation in a semi-infinite waveguide. We employ the Double Absorbing Boundary (DAB) method, by introducing two parallel artificial boundaries on the side where waves are outgoing. In contrast to the original implementation of the DAB, where the numerical solution involved either a low-order finite difference scheme or a low-order finite element scheme, here we incorporate the DAB into a high-order spectral element formulation, which provides us with very accurate solutions of wave problems in unbounded domains. This is demonstrated by numerical experiments. While the method is highly accurate, it suffers from long-time instability. We show how to postpone the onset of the instability by a prudent choice of the computational parameters.

Original languageEnglish
Article number2050007
JournalJournal of Theoretical and Computational Acoustics
Issue number4
StatePublished - Dec 2020


  • Double absorbing boundary
  • absorbing boundary conditions
  • acoustic waves
  • high order
  • spectral elements

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Computer Science Applications
  • Applied Mathematics


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