Articles | Volume 7, issue 3 
            
                
                    
            
            
            https://doi.org/10.5194/gmd-7-847-2014
                    © Author(s) 2014. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-7-847-2014
                    © Author(s) 2014. This work is distributed under 
the Creative Commons Attribution 3.0 License.
                the Creative Commons Attribution 3.0 License.
Verification of an ADER-DG method for complex dynamic rupture problems
C. Pelties
                                            Department of Earth and Environmental Sciences, Geophysics, Ludwig-Maximilians-Universität, München, Germany
                                        
                                    A.-A. Gabriel
                                            Department of Earth and Environmental Sciences, Geophysics, Ludwig-Maximilians-Universität, München, Germany
                                        
                                    J.-P. Ampuero
                                            Seismological Laboratory, California Institute of Technology, Pasadena, California, USA
                                        
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Cited
54 citations as recorded by crossref.
- Landers 1992 “Reloaded”: Integrative Dynamic Earthquake Rupture Modeling S. Wollherr et al. 10.1029/2018JB016355
 - A discontinuous Galerkin method for sequences of earthquakes and aseismic slip on multiple faults using unstructured curvilinear grids C. Uphoff et al. 10.1093/gji/ggac467
 - FD3D_TSN: A Fast and Simple Code for Dynamic Rupture Simulations with GPU Acceleration J. Premus et al. 10.1785/0220190374
 - A general framework for multivariate functional principal component analysis of amplitude and phase variation C. Happ et al. 10.1002/sta4.220
 - Dueling dynamics of low-angle normal fault rupture with splay faulting and off-fault damage J. Biemiller et al. 10.1038/s41467-023-37063-1
 - 3D Linked Subduction, Dynamic Rupture, Tsunami, and Inundation Modeling: Dynamic Effects of Supershear and Tsunami Earthquakes, Hypocenter Location, and Shallow Fault Slip S. Aniko Wirp et al. 10.3389/feart.2021.626844
 - An introduction to semiparametric function-on-scalar regression A. Bauer et al. 10.1177/1471082X17748034
 - The Dynamics of Unlikely Slip: 3D Modeling of Low‐Angle Normal Fault Rupture at the Mai'iu Fault, Papua New Guinea J. Biemiller et al. 10.1029/2021GC010298
 - Modeling Megathrust Earthquakes Across Scales: One‐way Coupling From Geodynamics and Seismic Cycles to Dynamic Rupture I. van Zelst et al. 10.1029/2019JB017539
 - Forecasting 3D Rupture Dynamics of the Alto Tiberina Low-Angle Normal Fault, Italy M. Marchandon et al. 10.26443/seismica.v4i2.1603
 - Earthquake Rupture on Multiple Splay Faults and Its Effect on Tsunamis I. van Zelst et al. 10.1029/2022JB024300
 - Constraining families of dynamic models using geological, geodetic and strong ground motion data: The Mw 6.5, October 30th, 2016, Norcia earthquake, Italy E. Tinti et al. 10.1016/j.epsl.2021.117237
 - A Suite of Exercises for Verifying Dynamic Earthquake Rupture Codes R. Harris et al. 10.1785/0220170222
 - Linked 3-D modelling of megathrust earthquake-tsunami events: from subduction to tsunami run up E. Madden et al. 10.1093/gji/ggaa484
 - A discontinuous Galerkin method for simulating the effects of arbitrary discrete fractures on elastic wave propagation Q. Zhan et al. 10.1093/gji/ggx233
 - A new upwind flux for a jump boundary condition applied to 3D viscous fracture modeling Q. Zhan et al. 10.1016/j.cma.2017.11.002
 - A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes K. Duru et al. 10.1007/s10915-021-01565-1
 - Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami T. Ulrich et al. 10.1007/s00024-019-02290-5
 - Large-scale simulation of seismic wave motion: A review B. Poursartip et al. 10.1016/j.soildyn.2019.105909
 - An efficient ADER-DG local time stepping scheme for 3D HPC simulation of seismic waves in poroelastic media S. Wolf et al. 10.1016/j.jcp.2021.110886
 - Linked and fully coupled 3D earthquake dynamic rupture and tsunami modeling for the Húsavík–Flatey Fault Zone in North Iceland F. Kutschera et al. 10.5194/se-15-251-2024
 - New computational methods in tsunami science J. Behrens & F. Dias 10.1098/rsta.2014.0382
 - SEM3D: A 3D High-Fidelity Numerical Earthquake Simulator for Broadband (0–10 Hz) Seismic Response Prediction at a Regional Scale S. Touhami et al. 10.3390/geosciences12030112
 - Partial ruptures governed by the complex interplay between geodetic slip deficit, rigidity, and pore fluid pressure in 3D Cascadia dynamic rupture simulations J. Glehman et al. 10.26443/seismica.v2i4.1427
 - On the efficient and reliable numerical solution of rate-and-state friction problems E. Pipping et al. 10.1093/gji/ggv512
 - The State of Pore Fluid Pressure and 3‐D Megathrust Earthquake Dynamics E. Madden et al. 10.1029/2021JB023382
 - On the Rupture Propagation of the 2019 M6.4 Searles Valley, California, Earthquake, and the Lack of Immediate Triggering of the M7.1 Ridgecrest Earthquake J. Cortez et al. 10.1029/2020GL090659
 - Dynamic Rupture Scenarios in the Brawley Seismic Zone, Salton Trough, Southern California C. Kyriakopoulos et al. 10.1029/2018JB016795
 - Off-fault plasticity in three-dimensional dynamic rupture simulations using a modal Discontinuous Galerkin method on unstructured meshes: implementation, verification and application S. Wollherr et al. 10.1093/gji/ggy213
 - Comparison of methods for coupled earthquake and tsunami modelling L. Abrahams et al. 10.1093/gji/ggad053
 - Broadband Dynamic Rupture Modeling With Fractal Fault Roughness, Frictional Heterogeneity, Viscoelasticity and Topography: The 2016 Mw 6.2 Amatrice, Italy Earthquake T. Taufiqurrahman et al. 10.1029/2022GL098872
 - Bridging time scales of faulting: From coseismic to postseismic slip of the M w 6.0 2014 South Napa, California earthquake J. Premus et al. 10.1126/sciadv.abq2536
 - Stress, rigidity and sediment strength control megathrust earthquake and tsunami dynamics T. Ulrich et al. 10.1038/s41561-021-00863-5
 - How Does Thermal Pressurization of Pore Fluids Affect 3D Strike-Slip Earthquake Dynamics and Ground Motions? J. Vyas et al. 10.1785/0120220205
 - A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes K. Duru et al. 10.1016/j.cma.2021.114386
 - Training the Next Generation of Seismologists: Delivering Research-Grade Software Education for Cloud and HPC Computing Through Diverse Training Modalities M. Denolle et al. 10.1785/0220240413
 - Aftershock sequence of the Yogyakarta earthquake 2006 (Mw ~ 6.4), Indonesia, based on analysis of hypocenter relocation, static, and dynamic stress M. Ramdhan et al. 10.1007/s11069-025-07440-8
 - Ground-Motion Characteristics of Cascading Earthquakes in a Multiscale Fracture Network K. Palgunadi et al. 10.1785/0120240281
 - Dynamic rupture propagation on fault planes with explicit representation of short branches X. Ma & A. Elbanna 10.1016/j.epsl.2019.07.005
 - A Geology and Geodesy Based Model of Dynamic Earthquake Rupture on the Rodgers Creek‐Hayward‐Calaveras Fault System, California R. Harris et al. 10.1029/2020JB020577
 - A Crosslink Constraint Method for Modeling Episodic Dynamic Rupture on Intersecting Faults C. Meng & B. Hager 10.1785/0220190234
 - New High-Resolution Modeling of the 2018 Palu Tsunami, Based on Supershear Earthquake Mechanisms and Mapped Coastal Landslides, Supports a Dual Source L. Schambach et al. 10.3389/feart.2020.598839
 - Dynamics, interactions and delays of the 2019 Ridgecrest rupture sequence T. Taufiqurrahman et al. 10.1038/s41586-023-05985-x
 - Dynamic Fault Interaction during a Fluid-Injection-Induced Earthquake: The 2017 Mw 5.5 Pohang Event K. Palgunadi et al. 10.1785/0120200106
 - Equivalent Near-Field Corner Frequency Analysis of 3D Dynamic Rupture Simulations Reveals Dynamic Source Effects N. Schliwa & A. Gabriel 10.1785/0220230225
 - The complex dynamics of the 2023 Kahramanmaraş, Turkey,Mw7.8-7.7 earthquake doublet Z. Jia et al. 10.1126/science.adi0685
 - Assessing Margin‐Wide Rupture Behaviors Along the Cascadia Megathrust With 3‐D Dynamic Rupture Simulations M. Ramos et al. 10.1029/2021JB022005
 - A finite element and finite difference mixed approach for modeling fault rupture and ground motion C. Meng & H. Wang 10.1016/j.cageo.2018.01.015
 - Pulse-Like Rupture Induced by Three-Dimensional Fault Zone Flower Structures C. Pelties et al. 10.1007/s00024-014-0881-0
 - On the initiation of sustained slip-weakening ruptures by localized stresses M. Galis et al. 10.1093/gji/ggu436
 - Dynamic viability of the 2016 Mw 7.8 Kaikōura earthquake cascade on weak crustal faults T. Ulrich et al. 10.1038/s41467-019-09125-w
 - Three‐Dimensional Numerical Modeling of Coseismic Atmospheric Dynamics and Ionospheric Responses in Slant Total Electron Content Observations P. Inchin et al. 10.1029/2023GL108068
 - Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami T. Ulrich et al. 10.1007/s00024-019-02290-5
 - Discontinuous galerkin method for numerical simulation of dynamic processes in solids V. Miryaha et al. 10.1134/S2070048215050087
 
48 citations as recorded by crossref.
- Landers 1992 “Reloaded”: Integrative Dynamic Earthquake Rupture Modeling S. Wollherr et al. 10.1029/2018JB016355
 - A discontinuous Galerkin method for sequences of earthquakes and aseismic slip on multiple faults using unstructured curvilinear grids C. Uphoff et al. 10.1093/gji/ggac467
 - FD3D_TSN: A Fast and Simple Code for Dynamic Rupture Simulations with GPU Acceleration J. Premus et al. 10.1785/0220190374
 - A general framework for multivariate functional principal component analysis of amplitude and phase variation C. Happ et al. 10.1002/sta4.220
 - Dueling dynamics of low-angle normal fault rupture with splay faulting and off-fault damage J. Biemiller et al. 10.1038/s41467-023-37063-1
 - 3D Linked Subduction, Dynamic Rupture, Tsunami, and Inundation Modeling: Dynamic Effects of Supershear and Tsunami Earthquakes, Hypocenter Location, and Shallow Fault Slip S. Aniko Wirp et al. 10.3389/feart.2021.626844
 - An introduction to semiparametric function-on-scalar regression A. Bauer et al. 10.1177/1471082X17748034
 - The Dynamics of Unlikely Slip: 3D Modeling of Low‐Angle Normal Fault Rupture at the Mai'iu Fault, Papua New Guinea J. Biemiller et al. 10.1029/2021GC010298
 - Modeling Megathrust Earthquakes Across Scales: One‐way Coupling From Geodynamics and Seismic Cycles to Dynamic Rupture I. van Zelst et al. 10.1029/2019JB017539
 - Forecasting 3D Rupture Dynamics of the Alto Tiberina Low-Angle Normal Fault, Italy M. Marchandon et al. 10.26443/seismica.v4i2.1603
 - Earthquake Rupture on Multiple Splay Faults and Its Effect on Tsunamis I. van Zelst et al. 10.1029/2022JB024300
 - Constraining families of dynamic models using geological, geodetic and strong ground motion data: The Mw 6.5, October 30th, 2016, Norcia earthquake, Italy E. Tinti et al. 10.1016/j.epsl.2021.117237
 - A Suite of Exercises for Verifying Dynamic Earthquake Rupture Codes R. Harris et al. 10.1785/0220170222
 - Linked 3-D modelling of megathrust earthquake-tsunami events: from subduction to tsunami run up E. Madden et al. 10.1093/gji/ggaa484
 - A discontinuous Galerkin method for simulating the effects of arbitrary discrete fractures on elastic wave propagation Q. Zhan et al. 10.1093/gji/ggx233
 - A new upwind flux for a jump boundary condition applied to 3D viscous fracture modeling Q. Zhan et al. 10.1016/j.cma.2017.11.002
 - A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes K. Duru et al. 10.1007/s10915-021-01565-1
 - Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami T. Ulrich et al. 10.1007/s00024-019-02290-5
 - Large-scale simulation of seismic wave motion: A review B. Poursartip et al. 10.1016/j.soildyn.2019.105909
 - An efficient ADER-DG local time stepping scheme for 3D HPC simulation of seismic waves in poroelastic media S. Wolf et al. 10.1016/j.jcp.2021.110886
 - Linked and fully coupled 3D earthquake dynamic rupture and tsunami modeling for the Húsavík–Flatey Fault Zone in North Iceland F. Kutschera et al. 10.5194/se-15-251-2024
 - New computational methods in tsunami science J. Behrens & F. Dias 10.1098/rsta.2014.0382
 - SEM3D: A 3D High-Fidelity Numerical Earthquake Simulator for Broadband (0–10 Hz) Seismic Response Prediction at a Regional Scale S. Touhami et al. 10.3390/geosciences12030112
 - Partial ruptures governed by the complex interplay between geodetic slip deficit, rigidity, and pore fluid pressure in 3D Cascadia dynamic rupture simulations J. Glehman et al. 10.26443/seismica.v2i4.1427
 - On the efficient and reliable numerical solution of rate-and-state friction problems E. Pipping et al. 10.1093/gji/ggv512
 - The State of Pore Fluid Pressure and 3‐D Megathrust Earthquake Dynamics E. Madden et al. 10.1029/2021JB023382
 - On the Rupture Propagation of the 2019 M6.4 Searles Valley, California, Earthquake, and the Lack of Immediate Triggering of the M7.1 Ridgecrest Earthquake J. Cortez et al. 10.1029/2020GL090659
 - Dynamic Rupture Scenarios in the Brawley Seismic Zone, Salton Trough, Southern California C. Kyriakopoulos et al. 10.1029/2018JB016795
 - Off-fault plasticity in three-dimensional dynamic rupture simulations using a modal Discontinuous Galerkin method on unstructured meshes: implementation, verification and application S. Wollherr et al. 10.1093/gji/ggy213
 - Comparison of methods for coupled earthquake and tsunami modelling L. Abrahams et al. 10.1093/gji/ggad053
 - Broadband Dynamic Rupture Modeling With Fractal Fault Roughness, Frictional Heterogeneity, Viscoelasticity and Topography: The 2016 Mw 6.2 Amatrice, Italy Earthquake T. Taufiqurrahman et al. 10.1029/2022GL098872
 - Bridging time scales of faulting: From coseismic to postseismic slip of the M w 6.0 2014 South Napa, California earthquake J. Premus et al. 10.1126/sciadv.abq2536
 - Stress, rigidity and sediment strength control megathrust earthquake and tsunami dynamics T. Ulrich et al. 10.1038/s41561-021-00863-5
 - How Does Thermal Pressurization of Pore Fluids Affect 3D Strike-Slip Earthquake Dynamics and Ground Motions? J. Vyas et al. 10.1785/0120220205
 - A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex elastic solids using physics based numerical fluxes K. Duru et al. 10.1016/j.cma.2021.114386
 - Training the Next Generation of Seismologists: Delivering Research-Grade Software Education for Cloud and HPC Computing Through Diverse Training Modalities M. Denolle et al. 10.1785/0220240413
 - Aftershock sequence of the Yogyakarta earthquake 2006 (Mw ~ 6.4), Indonesia, based on analysis of hypocenter relocation, static, and dynamic stress M. Ramdhan et al. 10.1007/s11069-025-07440-8
 - Ground-Motion Characteristics of Cascading Earthquakes in a Multiscale Fracture Network K. Palgunadi et al. 10.1785/0120240281
 - Dynamic rupture propagation on fault planes with explicit representation of short branches X. Ma & A. Elbanna 10.1016/j.epsl.2019.07.005
 - A Geology and Geodesy Based Model of Dynamic Earthquake Rupture on the Rodgers Creek‐Hayward‐Calaveras Fault System, California R. Harris et al. 10.1029/2020JB020577
 - A Crosslink Constraint Method for Modeling Episodic Dynamic Rupture on Intersecting Faults C. Meng & B. Hager 10.1785/0220190234
 - New High-Resolution Modeling of the 2018 Palu Tsunami, Based on Supershear Earthquake Mechanisms and Mapped Coastal Landslides, Supports a Dual Source L. Schambach et al. 10.3389/feart.2020.598839
 - Dynamics, interactions and delays of the 2019 Ridgecrest rupture sequence T. Taufiqurrahman et al. 10.1038/s41586-023-05985-x
 - Dynamic Fault Interaction during a Fluid-Injection-Induced Earthquake: The 2017 Mw 5.5 Pohang Event K. Palgunadi et al. 10.1785/0120200106
 - Equivalent Near-Field Corner Frequency Analysis of 3D Dynamic Rupture Simulations Reveals Dynamic Source Effects N. Schliwa & A. Gabriel 10.1785/0220230225
 - The complex dynamics of the 2023 Kahramanmaraş, Turkey,Mw7.8-7.7 earthquake doublet Z. Jia et al. 10.1126/science.adi0685
 - Assessing Margin‐Wide Rupture Behaviors Along the Cascadia Megathrust With 3‐D Dynamic Rupture Simulations M. Ramos et al. 10.1029/2021JB022005
 - A finite element and finite difference mixed approach for modeling fault rupture and ground motion C. Meng & H. Wang 10.1016/j.cageo.2018.01.015
 
6 citations as recorded by crossref.
- Pulse-Like Rupture Induced by Three-Dimensional Fault Zone Flower Structures C. Pelties et al. 10.1007/s00024-014-0881-0
 - On the initiation of sustained slip-weakening ruptures by localized stresses M. Galis et al. 10.1093/gji/ggu436
 - Dynamic viability of the 2016 Mw 7.8 Kaikōura earthquake cascade on weak crustal faults T. Ulrich et al. 10.1038/s41467-019-09125-w
 - Three‐Dimensional Numerical Modeling of Coseismic Atmospheric Dynamics and Ionospheric Responses in Slant Total Electron Content Observations P. Inchin et al. 10.1029/2023GL108068
 - Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami T. Ulrich et al. 10.1007/s00024-019-02290-5
 - Discontinuous galerkin method for numerical simulation of dynamic processes in solids V. Miryaha et al. 10.1134/S2070048215050087
 
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