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Review of summation-by-parts schemes for initial–boundary-value problems
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 …
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) …
Gauss--Lobatto points (DGSEM-GL) satisfies the discrete summation-by-parts (SBP) …
[Књига][B] The finite-difference modelling of earthquake motions: Waves and ruptures
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 …
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 …
observations. Unlike near-coast observations, deep-ocean observations have enabled the …
Additional shear resistance from fault roughness and stress levels on geometrically complex faults
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 …
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
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 …
seafloor. This is surprising because the shallow portion of the plate interface in subduction …
Rupture complexity and the supershear transition on rough faults
Field investigations suggest that supershear earthquakes occur on geometrically simple,
smooth fault segments. In contrast, dynamic rupture simulations show how heterogeneity of …
smooth fault segments. In contrast, dynamic rupture simulations show how heterogeneity of …
Three-dimensional curved grid finite-difference modelling for non-planar rupture dynamics
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 …
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
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 …
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
Numerical simulation of rupture dynamics provides critical insights for understanding
earthquake physics, while the complex geometry and heterogeneous material properties of …
earthquake physics, while the complex geometry and heterogeneous material properties of …