Perfectly matched layers for time-harmonic elastodynamics of unbounded domains : Theory and finite-element implementation

By U. Basu, A. Chopra. 2003

391 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Electrical and Electronic Engineering, Geophysics

View Paper: https://www.semanticscholar.org/paper/071f1b05df3e3c7a8414562f63b1a0697d418128

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Qinya Liu
2. Jeroen Tromp
3. Haim Waisman
4. Hao Sun
5. Wing Kam Liu
6. David S. Bindel
7. Dimitri Komatitsch
8. Thomas Y. Hou

In Electrical and Electronic Engineering

1. Qinya Liu
2. Jeroen Tromp
3. Dimitri Komatitsch
4. Haim Waisman
5. Hao Sun
6. Wing Kam Liu
7. David S. Bindel
8. Thomas Y. Hou

In Geophysics

1. Qinya Liu
2. Jeroen Tromp
3. Dimitri Komatitsch
4. Haim Waisman
5. Hao Sun
6. Wing Kam Liu
7. David S. Bindel
8. Thomas Y. Hou

Citations in the corpus

• Elastic PMLs for resonator anchor loss simulation (2005, methodology): “We describe an alternate interpretation of the PML described in [8], and show how our interpretation further simplifies implementation in a finite element code.”
• A mathematical framework of the bridging scale method (2006, methodology): “The perfectly matched layer (PML) method introduces a damping term to absorb reflections [11, 12].”
• A sweeping window method for detection of flaws using an explicit dynamic XFEM and absorbing boundary layers (2016, methodology): “Common methods widely used in the framework of the FEM include absorbing/non-reflecting boundary conditions [18–22], infinite elements [23, 24], and ABLs (perfectly matched layers (PMLs) [25, 26], Caughey absorbing layers [27], etc.”
• Perfectly matched layers for transient elastodynamics of unbounded domains (2004, neutral): “This resultant equation can be transformed to the basis {ei} to obtain [30] ∇ · (
  ̃
  ̄) = − 2 [ 1(x 1) 2(x 2)]ū (8a) ̄ = (1 + 2ia0 )̄ (8b) ̄ = (∇ū) (8c) where ̄ := { ̄1 ̄2 }”
• Spectral-Element and Adjoint Methods in Seismology (2008, positive): “In recent years, a significantly more efficient absorbing condition called the Perfectly Matched Layer (PML) has been introduced [6], which is now being used in regional numerical simulations [5, 16, 22, 32].”
• A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation (2003, methodology): “In the context of wave propagation, the PML has been applied to both acoustic (e.g. Liu & Tao 1997; Qi & Geers 1998; Hagstrom 1999) and elastic problems (e.g. Chew & Liu 1996; Hastings et al. 1996; Collino & Monk 1998a; Collino & Tsogka 2001; Basu & Chopra 2003; Cohen & Fauqueux 2003).”