Review of summation-by-parts schemes for initial–boundary-value problems

M Svärd, J Nordström - Journal of Computational Physics, 2014 - Elsevier
High-order finite difference methods are efficient, easy to program, scale well in multiple
dimensions and can be modified locally for various reasons (such as shock treatment for …

A skew-symmetric discontinuous Galerkin spectral element discretization and its relation to SBP-SAT finite difference methods

GJ Gassner - SIAM Journal on Scientific Computing, 2013 - SIAM
This paper shows that the discontinuous Galerkin collocation spectral element method with
Gauss--Lobatto points (DGSEM-GL) satisfies the discrete summation-by-parts (SBP) …

[Књига][B] The finite-difference modelling of earthquake motions: Waves and ruptures

P Moczo, J Kristek, M Gális - 2014 - books.google.com
Among all the numerical methods in seismology, the finite-difference (FD) technique
provides the best balance of accuracy and computational efficiency. This book offers a …

Tsunami modeling for the deep sea and inside focal areas

T Saito, T Kubota - Annual Review of Earth and Planetary …, 2020 - annualreviews.org
This article reviews tsunami modeling and its relation to recent developments of deep-ocean
observations. Unlike near-coast observations, deep-ocean observations have enabled the …

Additional shear resistance from fault roughness and stress levels on geometrically complex faults

Z Fang, EM Dunham - Journal of Geophysical Research: Solid …, 2013 - Wiley Online Library
The majority of crustal faults host earthquakes when the ratio of average background shear
stress τb to effective normal stress σeff is τb/σeff≈ 0.6. In contrast, mature plate‐boundary …

Rupture to the trench: Dynamic rupture simulations of the 11 March 2011 Tohoku earthquake

JE Kozdon, EM Dunham - Bulletin of the Seismological …, 2013 - pubs.geoscienceworld.org
There is strong evidence that the 11 March 2011 Tohoku earthquake rupture reached the
seafloor. This is surprising because the shallow portion of the plate interface in subduction …

Rupture complexity and the supershear transition on rough faults

L Bruhat, Z Fang, EM Dunham - Journal of Geophysical …, 2016 - Wiley Online Library
Field investigations suggest that supershear earthquakes occur on geometrically simple,
smooth fault segments. In contrast, dynamic rupture simulations show how heterogeneity of …

Three-dimensional curved grid finite-difference modelling for non-planar rupture dynamics

Z Zhang, W Zhang, X Chen - Geophysical Journal International, 2014 - academic.oup.com
In this study, we present a new method for simulating the 3-D dynamic rupture process
occurring on a non-planar fault. The method is based on the curved-grid finite-difference …

Effect of porosity and permeability evolution on injection‐induced aseismic slip

Y Yang, EM Dunham - Journal of Geophysical Research: Solid …, 2021 - Wiley Online Library
It is widely recognized that fluid injection can trigger aseismic fault slip. However, the
processes by which the fluid‐rock interactions facilitate or inhibit slip are poorly understood …

A mixed‐flux‐based nodal discontinuous Galerkin method for 3D dynamic rupture modeling

W Zhang, Y Liu, X Chen - Journal of Geophysical Research …, 2023 - Wiley Online Library
Numerical simulation of rupture dynamics provides critical insights for understanding
earthquake physics, while the complex geometry and heterogeneous material properties of …