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Parallel implementation of the grid-characteristic method in the case of explicit contact boundaries
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List of references:
- Моделирование распространения упругих волн в геологической среде: сравнение результатов трех численных методов // Ж. вычисл. матем. и матем. физ. — 2016. — Т. 56, № 6. — С. 1104–1114.
- Simulation of elastic wave propagation in geological media: intercomparison of three numerical methods // Computational Mathematics and Mathematical Physics. — 2016. — V. 56, no. 6. — P. 1086–1095. — DOI: 10.1134/S0965542516060087. — MathSciNet: MR3540583. — ads: 2016CMMPh..56.1086B. , , , .
- Modelirovanie rasprostraneniya uprugikh voln v geologicheskoi srede: sravnenie rezul’tatov trekh chislennykh metodov // Zh. vychisl. matem. i matem. fiz. — 2016. — V. 56, no. 6. — P. 1104–1114. — in Russian. , , , .
, , , . - Моделирование динамических процессов в трехмерных слоистых трещиноватых средах с использованием сеточно-характеристического численного метода // Прикладная механика и техническая физика. — 2017. — Т. 58, № 3. — С. 190–197.
- Simulation of dynamic processes in three-dimensional layered fractured media with the use of the grid-characteristic numerical method // Journal of Applied Mechanics and Technical Physics. — 2017. — V. 58, no. 3. — P. 539–545. — DOI: 10.1134/S0021894417030191. — MathSciNet: MR3766289. — ads: 2017JAMTP..58..539G. , , , , .
- Modelirovanie dinamicheskikh protsessov v trekhmernykh sloistykh treshchinovatykh sredakh s ispol’zovaniem setochno-kharakteristicheskogo chislennogo metoda // Prikladnaya mekhanika i tekhnicheskaya fizika. — 2017. — V. 58, no. 3. — P. 190–197. — in Russian. , , , , .
, , , , . - Компактные сеточно-характеристические схемы повышенного порядка точности для трёхмерного линейного уравнения переноса // Матем. моделирование. — 2016. — Т. 28, № 2. — С. 123–132.
- Compact grid-characteristic schemes of higher orders of accuracy for a 3D linear transport equation // Mathematical Models and Computer Simulations. — 2016. — V. 8, no. 5. — P. 577–584. — DOI: 10.1134/S2070048216050082. — MathSciNet: MR3551995. , , .
- Kompaktnye setochno-kharakteristicheskie skhemy povyshennogo poryadka tochnosti dlya trekhmernogo lineinogo uravneniya perenosa // Matem. modelirovanie. — 2016. — V. 28, no. 2. — P. 123–132. — in Russian. — Math-Net: Mi eng/mm3704. , , .
, , . - Сеточно-характеристические численные методы. — М: Наука, 1988.
- Grid-characteristic numerical methods. — Moscow: Nauka, 1988. — in Russian. — MathSciNet: MR0961845. , .
, . - Об использовании гибридизированных сеточно-характеристических схем для численного решения трехмерных задач динамики деформируемого твердого тела // Ж. вычисл. матем. и матем. физ. — 1990. — Т. 30, № 8. — С. 1237–1244.
- On the use of hybrid grid-characteristic schemes for the numerical solution of three-dimensional problems in the dynamics of a deformable solid // USSR Computational Mathematics and Mathematical Physics. — 1990. — V. 30, no. 4. — P. 191–196. — DOI: 10.1016/0041-5553(90)90062-W. — MathSciNet: MR1074168. , , .
- Ob ispol’zovanii gibridizirovannykh setochno-kharakteristicheskikh skhem dlya chislennogo resheniya trekhmernykh zadach dinamiki deformiruemogo tverdogo tela // Zh. vychisl. matem. i matem. fiz. — 1990. — V. 30, no. 8. — P. 1237–1244. — in Russian. — MathSciNet: MR1121941. , , .
, , . - О регуляризации разрывных численных решений уравнений гиперболического типа // Ж. вычисл. матем. и матем. физ. — 1984. — Т. 24, № 8. — С. 1172–1188.
- Regularization of discontinuous numerical solutions of equations of hyperbolic type // USSR Computational Mathematics and Mathematical Physics. — 1984. — V. 24, no. 4. — P. 128–138. — DOI: 10.1016/0041-5553(84)90245-3. — MathSciNet: MR0760244. , .
- O regulyarizatsii razryvnykh chislennykh reshenii uravnenii giperbolicheskogo tipa // Zh. vychisl. matem. i matem. fiz. — 1984. — V. 24, no. 8. — P. 1172–1188. — in Russian. , .
, . - О критериях монотонности разностных схем для уравнений гиперболического типа // Ж. вычисл. матем. и матем. физ. — 2006. — Т. 46, № 9. — С. 1638–1667.
- Monotonicity criteria for difference schemes designed for hyperbolic equations // Comput. Math. and Math. Phys. — 2006. — V. 46, no. 9. — P. 1560–1588. — DOI: 10.1134/S0965542506090089. — MathSciNet: MR2287663. , .
- O kriteriyakh monotonnosti raznostnykh skhem dlya uravnenii giperbolicheskogo tipa // Zh. vychisl. matem. i matem. fiz. — 2006. — V. 46, no. 9. — P. 1638–1667. — in Russian. , .
, . - Open MPI: Goals, concept, and design of a next generation MPI implementation / European Parallel Virtual Machine/Message Passing Interface Users’ Group Meeting. — Berlin, Heidelberg: Springer, 2004. — P. 97–104. , et al.
- Grid-Characteristic Method / Innovations in Wave Processes Modelling and Decision Making. — Cham: Springer, 2018. — P. 117–160. — MathSciNet: MR3586146. , .
- An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes — I. The two-dimensional isotropic case with external source terms // Geophysical Journal International. — 2006. — V. 166, no. 2. — P. 855–877. — DOI: 10.1111/j.1365-246X.2006.03051.x. — ads: 2006GeoJI.166..855K. , .
- Applying OpenCL Technology for Modelling Seismic Processes Using Grid-Characteristic Methods / International Conference on Distributed Computer and Communication Networks. — Cham: Springer, 2016. — P. 577–588. , , , , .
- Solution of large-scale seismic modeling problems // Procedia Computer Science. — 2015. — V. 66. — P. 191–199. — DOI: 10.1016/j.procs.2015.11.023. , , , .
- Fluid-solid coupling on a cluster of GPU graphics cards for seismic wave propagation // Academie des Sciences. Comptes Rendus. Mecanique. — 2011. — V. 339, no. 2–3. — P. 125–135. — DOI: 10.1016/j.crme.2010.11.007. — ads: 2011CRMec.339..125K. .
- The spectral element method for elastic wave equations — Application to 2-D and 3-D seismic problems // International Journal for numerical methods in engineering. — 1999. — V. 45, no. 9. — P. 1139–1164. — DOI: 10.1002/(SICI)1097-0207(19990730)45:9<1139::AID-NME617>3.0.CO;2-T. — ads: 1999IJNME..45.1139K. , , , , .
- Finite volume methods for hyperbolic problems. — Cambridge university press, 2002. — V. 31. — MathSciNet: MR1925043. .
- Parallel Seismic Modeling Based on OpenMP+AVX and Optimization Strategy // Journal of Earth Science. — 2018. — P. 1–6. — ads: 2018JAESc.151....1L. , , .
- Simulation of seismic wave propagation in an asteroid based upon an unstructured MPI spectral-element method: blocking and non-blocking communication strategies / International Conference on High Performance Computing for Computational Science. — Berlin, Heidelberg: Springer, 2008. — P. 350–363. , , , .
- 3D finite difference computation on GPUs using CUDA / Proceedings of 2nd workshop on general purpose processing on graphics processing units. — ACM, 2009. — P. 79–84. .
- The finite-difference and finite-element modeling of seismic wave propagation and earthquake motion // Acta Physica Slovaca. Reviews and Tutorials. — 2010. — V. 57, no. 2. — P. 177–406. — ads: 2007AcPSl..57..177M. , , , , .
- Accelerating the discontinuous Galerkin method for seismic wave propagation simulations using multiple GPUs with CUDA and MPI // Earthquake Science. — 2013. — V. 26, no. 6. — P. 377–393. — DOI: 10.1007/s11589-013-0047-7. — ads: 2013EaSci..26..377M. , , .
- Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique // Journal of computational physics. — 2001. — V. 174, no. 1. — P. 171–207. — DOI: 10.1006/jcph.2001.6888. — MathSciNet: MR1869674. — ads: 2001JCoPh.174..171N. , , , .
- P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method // GEOPHYSICS. — 1986. — V. 51, no. 4. — P. 889–901. — DOI: 10.1190/1.1442147. — ads: 1986Geop...51..889V. .
- Elastic imaging using multiprocessor computer systems // CEUR Workshop Proceedings. — 2016. — V. 1787. — P. 491–495. , , .
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