# High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach

@article{Dovgilovich2014HighaccuracyFS, title={High-accuracy finite-difference schemes for solving elastodynamic problems in curvilinear coordinates within multiblock approach}, author={Leonid Evgenievich Dovgilovich and Ivan L. Sofronov}, journal={Applied Numerical Mathematics}, year={2014}, volume={93}, pages={176-194} }

## 21 Citations

Upwind Summation By Parts Finite Difference Methods for Large Scale Elastic Wave Simulations In Complex Geometries

- MathematicsArXiv
- 2020

The results show that the upwind SBP operators are more robust and less prone to numerical dispersion errors on marginally resolved meshes when compared to traditionalSBP operators, thereby increasing efficiency.

Multiblock SBP-SAT Methodology of Symmetric Matrix Form of Elastic Wave Equations on Curvilinear Grids

- Engineering
- 2020

A stable and accurate finite-difference discretization of first-order elastic wave equations is derived in this work. To simplify the origin and proof of the formulas, a symmetric matrix form (SMF)…

Elastic wave propagation in anisotropic solids using energy-stable finite differences with weakly enforced boundary and interface conditions

- MathematicsJ. Comput. Phys.
- 2021

A High-Order Finite-Difference Method on Staggered Curvilinear Grids for Seismic Wave Propagation Applications with Topography

- GeologyBulletin of the Seismological Society of America
- 2021

We developed a 3D elastic wave propagation solver that supports topography using staggered curvilinear grids. Our method achieves comparable accuracy to the classical fourth-order staggered grid…

Stable Symmetric Matrix Form Framework for the Elastic Wave Equation Combined with Perfectly Matched Layer and Discretized in the Curve Domain

- Computer ScienceSymmetry
- 2020

A semi-discrete approximation based on ADE CFS-MPML in which the curve domain is discretized using the upwind summation-by-parts (SBP) operators, and where the boundary conditions are enforced weakly using the simultaneous approximation terms (SAT).

Multi‐block finite‐difference method for 3D elastodynamic simulations in anisotropic subhorizontally layered media

- Geology
- 2015

Prediction of elastic full wavefields is required for reverse time migration, full waveform inversion, borehole seismology, seismic modelling, etc. We propose a novel algorithm to solve the Navier…

A new class of high-order summation by parts finite-difference schemes

- Mathematics
- 2017

We develop summation by parts (SBP) approach for generating high-order finite-difference schemes on the interval and propose new sets of schemes up to the 12th order. The coefficients of the schemes…

Finite-difference strategy for elastic wave modelling on curved staggered grids

- GeologyComputational Geosciences
- 2016

Waveform modelling is essential for seismic imaging and inversion. Because including more physical characteristics can potentially yield more accurate Earth models, we analyse strategies for elastic…

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Prediction of elastic anisotropic full wavefields is required in reverse-time migration, full-waveform inversion, borehole seismology, seismic modelling, and other processes. We propose a novel…

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