A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation

By Dimitri Komatitsch, Jeroen Tromp. 2003

398 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f3736feb66d3ecfbb88105e6d16de51daf3a92a7

How researchers see this paper

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

In Computational Mechanics

1. Qinya Liu
2. Michael Dumbser
3. Martin Käser
4. Khemraj Shukla
5. Majid Rasht-Behesht
6. C. Huber
7. Jianwei Ma
8. Fangshu Yang

In Electrical and Electronic Engineering

1. Qinya Liu
2. Michael Dumbser
3. Jianwei Ma
4. Martin Käser
5. Fangshu Yang
6. Jeroen Tromp
7. G. Em Karniadakis
8. Majid Rasht-Behesht

In Mechanics of Materials

1. Qinya Liu
2. Martin Käser
3. Michael Dumbser
4. Jianwei Ma
5. Fangshu Yang
6. G. Em Karniadakis
7. Jeroen Tromp
8. Dimitri Komatitsch

Citations in the corpus

• Spectral-Element and Adjoint Methods in Seismology (2008, neutral): “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].”
• Simulations of Ground Motion in the Los Angeles Basin Based upon the Spectral-Element Method (2004, methodology): “More accurate absorbing boundary conditions, such as the perfectly matched layer (e.g., Be ´renger, 1994; Chew and Liu, 1996; Collino and Tsogka, 2001; Komatitsch and Tromp, 2003 ), could be used instead, but, because we use a large mesh, the simpler paraxial conditions are sufficient.”
• Deep-learning inversion: a next generation seismic velocity-model building method (2019, methodology): “The perfectly matched layer (PML) (Komatitsch and Tromp, 2003) absorbing boundary condition was adopted to reduce unphysical reflection on the left, right, and bottom edges.”
• An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes — II. The three-dimensional isotropic case (2006, methodology): “Therefore, in future work, approaches like the Perfectly Matched Layer (PML) technique, as introduced in (Bérenger1994) and applied in (Collino & Tsogka 2001; Komatitsch & Tromp 2003) should be incorporated to improve the performance of the proposed scheme for such boundaries.”
• Finite-Frequency Kernels Based on Adjoint Methods (2006, methodology): “Due to the choice of Lagrange interpolation in combination with Gauss–Lobatto–Legendre quadrature, the mass matrix is exactly diagonal and, therefore, it is relatively straightforward to implement the SEM on parallel computers (Komatitsch et al., 2003).”
• Physics‐Informed Neural Networks (PINNs) for Wave Propagation and Full Waveform Inversions (2021, methodology): “We employed perfectly matched layers (PML) (Komatitsch and Tromp, 2003) at the boundaries of the domain with a thickness of 10 nodes to simulate the absorbing boundary conditions for the point source cases, and the Stacey absorbing boundary conditions for the teleseismic plane wave source cases (Sta”