Yang, Junxiang Linear energy-stable method with correction technique for the Ohta-Kawasaki-Navier-Stokes model of incompressible diblock copolymer melt. (English) Zbl 07810033 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65F20 65N55 65M12 65M15 76T06 76V05 76D05 76A05 76M20 82D60 35R10 35Q35 35Q82 PDFBibTeX XMLCite \textit{J. Yang}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024; Zbl 07810033) Full Text: DOI
Laidin, Tino Hybrid kinetic/fluid numerical method for the Vlasov-BGK equation in the diffusive scaling. (English) Zbl 1519.65027 Kinet. Relat. Models 16, No. 6, 913-947 (2023). MSC: 65M08 82M12 35B40 65M55 PDFBibTeX XMLCite \textit{T. Laidin}, Kinet. Relat. Models 16, No. 6, 913--947 (2023; Zbl 1519.65027) Full Text: DOI arXiv
Barichello, Liliane B.; da Cunha, Rudnei D. On the solution of systems of linear equations associated to the ADO method in particle transport problems. (English) Zbl 1524.65638 Comput. Appl. Math. 42, No. 4, Paper No. 200, 12 p. (2023). MSC: 65M70 65F05 65F10 82D75 PDFBibTeX XMLCite \textit{L. B. Barichello} and \textit{R. D. da Cunha}, Comput. Appl. Math. 42, No. 4, Paper No. 200, 12 p. (2023; Zbl 1524.65638) Full Text: DOI
Diao, Yu; Yang, Jianchuan; Zhang, Ying; Zhang, Dawei; Du, Yiming Solving multi-material problems in solid mechanics using physics-informed neural networks based on domain decomposition technology. (English) Zbl 07697914 Comput. Methods Appl. Mech. Eng. 413, Article ID 116120, 25 p. (2023). MSC: 74-XX 82-XX PDFBibTeX XMLCite \textit{Y. Diao} et al., Comput. Methods Appl. Mech. Eng. 413, Article ID 116120, 25 p. (2023; Zbl 07697914) Full Text: DOI
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. (English) Zbl 1512.65255 J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65F15 65F50 82B10 82M10 35Q82 35R37 PDFBibTeX XMLCite \textit{H. Xie} et al., J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023; Zbl 1512.65255) Full Text: DOI
Zhang, Xin; Wu, Jingwen; Tan, Zhijun Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential. (English) Zbl 1524.65439 Comput. Math. Appl. 132, 119-134 (2023). MSC: 65M06 65M12 82D25 65M55 80A22 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 132, 119--134 (2023; Zbl 1524.65439) Full Text: DOI
Chabu, Victor; Fermanian Kammerer, Clotilde; Macià, Fabricio Effective mass theorems with Bloch modes crossings. (English) Zbl 1502.81032 Arch. Ration. Mech. Anal. 245, No. 3, 1339-1400 (2022). MSC: 81Q10 35Q55 82D25 81Q05 81V10 81Q35 65M55 46E35 30H30 PDFBibTeX XMLCite \textit{V. Chabu} et al., Arch. Ration. Mech. Anal. 245, No. 3, 1339--1400 (2022; Zbl 1502.81032) Full Text: DOI arXiv
Pusztay, Joseph V.; Knepley, Matthew G.; Adams, Mark F. Conservative projection between finite element and particle bases. (English) Zbl 1492.65346 SIAM J. Sci. Comput. 44, No. 4, C310-C319 (2022). MSC: 65N55 65N30 65F10 82D10 PDFBibTeX XMLCite \textit{J. V. Pusztay} et al., SIAM J. Sci. Comput. 44, No. 4, C310--C319 (2022; Zbl 1492.65346) Full Text: DOI arXiv
Feodoritova, O. B.; Krasnov, M. M.; Novikova, N. D.; Zhukov, V. T. Multigrid method for numerical modelling of high temperature superconductors. (English) Zbl 1499.65477 Math. Montisnigri 53, 72-89 (2022). MSC: 65M55 35K05 82D55 PDFBibTeX XMLCite \textit{O. B. Feodoritova} et al., Math. Montisnigri 53, 72--89 (2022; Zbl 1499.65477) Full Text: DOI
Gao, Bin; Hu, Guanghui; Kuang, Yang; Liu, Xin An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. (English) Zbl 1491.35402 SIAM J. Sci. Comput. 44, No. 3, B723-B745 (2022). MSC: 35Q55 82M36 65N30 49M41 90C06 65Y05 65N55 65P30 PDFBibTeX XMLCite \textit{B. Gao} et al., SIAM J. Sci. Comput. 44, No. 3, B723--B745 (2022; Zbl 1491.35402) Full Text: DOI arXiv
Besse, Nicolas Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain. (English) Zbl 1508.35060 J. Math. Anal. Appl. 511, No. 2, Article ID 126076, 28 p. (2022). MSC: 35Q35 76W05 76X05 85A30 35B65 82D10 PDFBibTeX XMLCite \textit{N. Besse}, J. Math. Anal. Appl. 511, No. 2, Article ID 126076, 28 p. (2022; Zbl 1508.35060) Full Text: DOI
Yang, Xiuyuan; Jiang, Zechao; Lyu, Peihan; Ding, Zhaoyu; Man, Xingkun Deposition pattern of drying droplets. (English) Zbl 1521.76727 Commun. Theor. Phys. 73, No. 4, Article ID 047601, 12 p. (2021). MSC: 76M30 76M28 82C35 76D45 65M55 76P05 PDFBibTeX XMLCite \textit{X. Yang} et al., Commun. Theor. Phys. 73, No. 4, Article ID 047601, 12 p. (2021; Zbl 1521.76727) Full Text: DOI
Liu, Shuang; Tang, Qi; Tang, Xian-zhu A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem. (English) Zbl 1481.65205 SIAM J. Sci. Comput. 43, No. 6, B1198-B1225 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N06 65N08 65N38 65N55 65Y05 76W05 82D75 82D10 35Q82 35R35 PDFBibTeX XMLCite \textit{S. Liu} et al., SIAM J. Sci. Comput. 43, No. 6, B1198--B1225 (2021; Zbl 1481.65205) Full Text: DOI arXiv
Bastidas Olivares, Manuela; Bringedal, Carina; Pop, Iuliu Sorin A two-scale iterative scheme for a phase-field model for precipitation and dissolution in porous media. (English) Zbl 1508.65124 Appl. Math. Comput. 396, Article ID 125933, 24 p. (2021). MSC: 65M60 65M12 65M50 65M55 76S05 82C21 PDFBibTeX XMLCite \textit{M. Bastidas Olivares} et al., Appl. Math. Comput. 396, Article ID 125933, 24 p. (2021; Zbl 1508.65124) Full Text: DOI arXiv
Rodríguez-Rozas, Ángel; Acebrón, Juan A.; Spigler, Renato The PDD method for solving linear, nonlinear, and fractional PDEs problems. (English) Zbl 1498.65154 Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 239-273 (2021). MSC: 65M55 65N55 65C05 65D05 65Y05 65M25 35K58 35Q83 35Q53 26A33 35R11 82D10 35R60 PDFBibTeX XMLCite \textit{Á. Rodríguez-Rozas} et al., SEMA SIMAI Springer Ser. 26, 239--273 (2021; Zbl 1498.65154) Full Text: DOI
Zhang, Yongwei; Ma, Chupeng; Cao, Li-qun; Shi, Dongyang Efficient multiscale algorithms for simulating nonlocal optical response of metallic nanostructure arrays. (English) Zbl 1470.65201 SIAM J. Sci. Comput. 43, No. 4, B907-B936 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65N50 65F10 65Y05 78A25 78M10 82D35 82D80 35Q60 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Sci. Comput. 43, No. 4, B907--B936 (2021; Zbl 1470.65201) Full Text: DOI arXiv
Chen, Yangang; Wan, Justin W. L. Artificial viscosity joint spacetime multigrid method for Hamilton-Jacobi-Bellman and Kolmogorov-Fokker-Planck system arising from mean field games. (English) Zbl 1477.65154 J. Sci. Comput. 88, No. 1, Paper No. 10, 29 p. (2021). MSC: 65M55 65N50 65M06 65N06 65M12 42A38 35F21 91A16 91-08 82C31 35Q84 35Q91 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. W. L. Wan}, J. Sci. Comput. 88, No. 1, Paper No. 10, 29 p. (2021; Zbl 1477.65154) Full Text: DOI
Han, Daoru; He, Xiaoming; Lund, David; Zhang, Xu PIFE-PIC: parallel immersed finite element particle-in-cell for 3-D kinetic simulations of plasma-material interactions. (English) Zbl 1483.65199 SIAM J. Sci. Comput. 43, No. 3, C235-C257 (2021). Reviewer: Eric Chung (Hong Kong) MSC: 65N55 65N30 65N75 35R05 65Y05 78A30 82D10 85A99 65-04 PDFBibTeX XMLCite \textit{D. Han} et al., SIAM J. Sci. Comput. 43, No. 3, C235--C257 (2021; Zbl 1483.65199) Full Text: DOI arXiv
Zhang, Yongwei; Ma, Chupeng; Cao, Liqun Multiscale approach and analysis for transient simulation of light interaction with nonlocal metallic nanostructure arrays. (English) Zbl 07356315 Multiscale Model. Simul. 19, No. 2, 921-950 (2021). MSC: 65M60 65M55 65F10 65Y05 78A40 78M10 78M40 35Q60 35A01 35A02 82D35 82D80 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Multiscale Model. Simul. 19, No. 2, 921--950 (2021; Zbl 07356315) Full Text: DOI
Xu, Fei; Xie, Hehu; Xie, Manting; Yue, Meiling A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration. (English) Zbl 1465.65163 BIT 61, No. 2, 645-663 (2021). MSC: 65N55 65N30 65N25 65H10 82B10 PDFBibTeX XMLCite \textit{F. Xu} et al., BIT 61, No. 2, 645--663 (2021; Zbl 1465.65163) Full Text: DOI arXiv
Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals. (English) Zbl 1482.76008 BIT 61, No. 2, 607-644 (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 76A15 65F08 65N30 65N55 82D30 PDFBibTeX XMLCite \textit{J. Xia} et al., BIT 61, No. 2, 607--644 (2021; Zbl 1482.76008) Full Text: DOI arXiv
Liu, Ying; Chen, Yanping; Huang, Yunqing; Wang, Yang Two-grid method for semiconductor device problem by mixed finite element method and characteristics finite element method. (English) Zbl 1456.65119 Electron. Res. Arch. 29, No. 1, 1859-1880 (2021). MSC: 65M60 65M55 65H10 65M12 35M13 78A30 82D37 35Q81 PDFBibTeX XMLCite \textit{Y. Liu} et al., Electron. Res. Arch. 29, No. 1, 1859--1880 (2021; Zbl 1456.65119) Full Text: DOI
Xu, Fei; Huang, Qiumei; Wang, Min; Ma, Hongkun A novel adaptive finite element method for the ground state solution of Bose-Einstein condensates. (English) Zbl 1508.65161 Appl. Math. Comput. 385, Article ID 125404, 15 p. (2020). MSC: 65N30 65N12 65N55 82M10 PDFBibTeX XMLCite \textit{F. Xu} et al., Appl. Math. Comput. 385, Article ID 125404, 15 p. (2020; Zbl 1508.65161) Full Text: DOI
Tian, Tonghua; Cai, Yongyong; Wu, Xinming; Wen, Zaiwen Ground states of spin-\(F\) Bose-Einstein condensates. (English) Zbl 1452.35195 SIAM J. Sci. Comput. 42, No. 4, B983-B1013 (2020). MSC: 35Q55 35A01 81Q99 65M70 65K10 65M55 82C10 PDFBibTeX XMLCite \textit{T. Tian} et al., SIAM J. Sci. Comput. 42, No. 4, B983--B1013 (2020; Zbl 1452.35195) Full Text: DOI arXiv
Kong, Fande; Wang, Yaqi; Gaston, Derek R.; Permann, Cody J.; Slaughter, Andrew E.; Lindsay, Alexander D.; DeHart, Mark D.; Martineau, Richard C. A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equation on three-dimensional unstructured meshes. (English) Zbl 1451.65221 SIAM J. Sci. Comput. 42, No. 5, C193-C220 (2020). MSC: 65N55 65Y05 65N25 65N30 65F08 65F10 82D75 35Q49 35Q82 PDFBibTeX XMLCite \textit{F. Kong} et al., SIAM J. Sci. Comput. 42, No. 5, C193--C220 (2020; Zbl 1451.65221) Full Text: DOI
Xu, Fei; Huang, Qiumei; Ma, Hongkun A novel domain decomposition framework for the ground state solution of Bose-Einstein condensates. (English) Zbl 1447.65176 Comput. Math. Appl. 80, No. 5, 1287-1300 (2020). MSC: 65N55 65N30 65N25 65F15 65Y05 82B10 35Q55 PDFBibTeX XMLCite \textit{F. Xu} et al., Comput. Math. Appl. 80, No. 5, 1287--1300 (2020; Zbl 1447.65176) Full Text: DOI
Ainsworth, Mark; Tugluk, Ozan; Whitney, Ben; Klasky, Scott Multilevel techniques for compression and reduction of scientific data – the unstructured case. (English) Zbl 1440.65169 SIAM J. Sci. Comput. 42, No. 2, A1402-A1427 (2020). MSC: 65N30 65N55 82D75 76B10 PDFBibTeX XMLCite \textit{M. Ainsworth} et al., SIAM J. Sci. Comput. 42, No. 2, A1402--A1427 (2020; Zbl 1440.65169) Full Text: DOI
Sho, Shohiro; Odanaka, Shinji Parallel domain decomposition methods for a quantum-corrected drift-diffusion model for MOSFET devices. (English) Zbl 07683926 Comput. Phys. Commun. 237, 8-16 (2019). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{S. Sho} and \textit{S. Odanaka}, Comput. Phys. Commun. 237, 8--16 (2019; Zbl 07683926) Full Text: DOI
Francisquez, M.; Zhu, B.; Rogers, B. N. Multigrid treatment of implicit continuum diffusion. (English) Zbl 1527.65137 Comput. Phys. Commun. 236, 104-117 (2019). MSC: 65N55 35K25 35K58 82C26 PDFBibTeX XMLCite \textit{M. Francisquez} et al., Comput. Phys. Commun. 236, 104--117 (2019; Zbl 1527.65137) Full Text: DOI
Wei, Ying; Yang, Chao; Huang, Jizu Parallel energy-stable phase field crystal simulations based on domain decomposition methods. (English) Zbl 07682590 Comput. Phys. Commun. 234, 26-39 (2019). MSC: 65-XX 82-XX PDFBibTeX XMLCite \textit{Y. Wei} et al., Comput. Phys. Commun. 234, 26--39 (2019; Zbl 07682590) Full Text: DOI arXiv
Su, W. D.; Tan, Y. Stream helicity in toroidal domains. (English) Zbl 1488.76053 Adv. Appl. Math. Mech. 11, No. 3, 619-629 (2019). MSC: 76F20 76F25 76W05 82D10 85A30 PDFBibTeX XMLCite \textit{W. D. Su} and \textit{Y. Tan}, Adv. Appl. Math. Mech. 11, No. 3, 619--629 (2019; Zbl 1488.76053) Full Text: DOI
Zhang, Ning; Xu, Fei; Xie, Hehu An efficient multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1434.65287 Int. J. Numer. Anal. Model. 16, No. 5, 789-803 (2019). MSC: 65N30 65N50 65N55 35Q55 65N25 65N12 82M10 PDFBibTeX XMLCite \textit{N. Zhang} et al., Int. J. Numer. Anal. Model. 16, No. 5, 789--803 (2019; Zbl 1434.65287) Full Text: arXiv Link
Arjmand, Doghonay; Engblom, Stefan; Kreiss, Gunilla Temporal upscaling in micromagnetism via heterogeneous multiscale methods. (English) Zbl 1401.65069 J. Comput. Appl. Math. 345, 99-113 (2019). MSC: 65L05 65M55 82D40 PDFBibTeX XMLCite \textit{D. Arjmand} et al., J. Comput. Appl. Math. 345, 99--113 (2019; Zbl 1401.65069) Full Text: DOI arXiv
Malagón-Romero, A.; Luque, A. A domain-decomposition method to implement electrostatic free boundary conditions in the radial direction for electric discharges. (English) Zbl 07694773 Comput. Phys. Commun. 225, 114-121 (2018). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{A. Malagón-Romero} and \textit{A. Luque}, Comput. Phys. Commun. 225, 114--121 (2018; Zbl 07694773) Full Text: DOI arXiv
Ciarlet Jr., P.; Giret, L.; Jamelot, E.; Kpadonou, F. D. Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients. (English) Zbl 1460.65137 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2003-2035 (2018). Reviewer: Michael Plum (Karlsruhe) MSC: 65N25 65N30 82D75 65N55 65N12 PDFBibTeX XMLCite \textit{P. Ciarlet Jr.} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 2003--2035 (2018; Zbl 1460.65137) Full Text: DOI
Kong, Fande; Wang, Yaqi; Schunert, Sebastian; Peterson, John W.; Permann, Cody J.; Andrš, David; Martineau, Richard C. A fully coupled two-level Schwarz preconditioner based on smoothed aggregation for the transient multigroup neutron diffusion equations. (English) Zbl 1513.65367 Numer. Linear Algebra Appl. 25, No. 3, e2162, 23 p. (2018). MSC: 65M60 65M06 65N30 65N55 65N50 65H10 65N25 65F08 65F10 82D75 65Y05 35Q82 PDFBibTeX XMLCite \textit{F. Kong} et al., Numer. Linear Algebra Appl. 25, No. 3, e2162, 23 p. (2018; Zbl 1513.65367) Full Text: DOI Link
Arjmand, Doghonay; Poluektov, Mikhail; Kreiss, Gunilla Atomistic-continuum multiscale modelling of magnetisation dynamics at non-zero temperature. (English) Zbl 1394.82016 Adv. Comput. Math. 44, No. 4, 1119-1151 (2018). MSC: 82C80 65C20 65M55 82C31 82D40 PDFBibTeX XMLCite \textit{D. Arjmand} et al., Adv. Comput. Math. 44, No. 4, 1119--1151 (2018; Zbl 1394.82016) Full Text: DOI arXiv
Cho, Heyrim; Venturi, Daniele; Karniadakis, George Em Numerical methods for high-dimensional kinetic equations. (English) Zbl 1404.65117 Jin, Shi (ed.) et al., Uncertainty quantification for hyperbolic and kinetic equations. Cham: Springer (ISBN 978-3-319-67109-3/hbk; 978-3-319-67110-9/ebook). SEMA SIMAI Springer Series 14, 93-125 (2017). MSC: 65M12 35R60 76P05 82C31 65M50 65M06 65D32 65M55 15A69 41A63 65M70 65M60 65L05 PDFBibTeX XMLCite \textit{H. Cho} et al., SEMA SIMAI Springer Ser. 14, 93--125 (2017; Zbl 1404.65117) Full Text: DOI
Dikalyuk, A. S.; Kuratov, S. E. Implementation of particle-in-cell method on unstructured grids for numerical modeling of plasma devices. (Russian. English summary) Zbl 1413.65339 Mat. Model. 29, No. 9, 32-48 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65M08 65M75 35J05 82D10 65M55 PDFBibTeX XMLCite \textit{A. S. Dikalyuk} and \textit{S. E. Kuratov}, Mat. Model. 29, No. 9, 32--48 (2017; Zbl 1413.65339) Full Text: MNR
Yuan, Yi-Rang; Yang, Qing; Li, Chang-Feng; Sun, Tong-Jun A mixed-finite volume element coupled with the method of characteristic fractional step difference for simulating transient behavior of semiconductor device of heat conductor and its numerical analysis. (English) Zbl 1382.82048 Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 1053-1072 (2017). MSC: 82D37 65M60 65N30 80A20 65M55 35Q82 78A35 PDFBibTeX XMLCite \textit{Y.-R. Yuan} et al., Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 1053--1072 (2017; Zbl 1382.82048) Full Text: DOI
Heumann, Holger; Rapetti, Francesca A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries. (English) Zbl 1375.78031 J. Comput. Phys. 334, 522-540 (2017). MSC: 78A55 82D10 65N30 PDFBibTeX XMLCite \textit{H. Heumann} and \textit{F. Rapetti}, J. Comput. Phys. 334, 522--540 (2017; Zbl 1375.78031) Full Text: DOI HAL
Vidal-Ferràndiz, A.; González-Pintor, S.; Ginestar, D.; Verdú, G.; Demazière, C. Schwarz type preconditioners for the neutron diffusion equation. (English) Zbl 1468.65180 J. Comput. Appl. Math. 309, 563-574 (2017). MSC: 65N25 65N30 65N55 82D75 PDFBibTeX XMLCite \textit{A. Vidal-Ferràndiz} et al., J. Comput. Appl. Math. 309, 563--574 (2017; Zbl 1468.65180) Full Text: DOI
Besse, Christophe; Xing, Feng Domain decomposition algorithms for the two dimensional nonlinear Schrödinger equation and simulation of Bose-Einstein condensates. (English) Zbl 1416.65328 SMAI J. Comput. Math. 2, 277-300 (2016). MSC: 65M55 65M60 35Q55 65Y05 76Y05 82C10 PDFBibTeX XMLCite \textit{C. Besse} and \textit{F. Xing}, SMAI J. Comput. Math. 2, 277--300 (2016; Zbl 1416.65328) Full Text: DOI arXiv
Hu, Zhicheng; Li, Ruo; Qiao, Zhonghua Extended hydrodynamic models and multigrid solver of a silicon diode simulation. (English) Zbl 1373.82009 Commun. Comput. Phys. 20, No. 3, 551-582 (2016). MSC: 82-08 82C80 65N08 35L75 35Q20 65N55 82D37 PDFBibTeX XMLCite \textit{Z. Hu} et al., Commun. Comput. Phys. 20, No. 3, 551--582 (2016; Zbl 1373.82009) Full Text: DOI
Xie, Hehu; Xie, Manting A multigrid method for ground state solution of Bose-Einstein condensates. (English) Zbl 1373.82042 Commun. Comput. Phys. 19, No. 3, 648-662 (2016). MSC: 82B80 82B20 65N30 65N25 65N55 PDFBibTeX XMLCite \textit{H. Xie} and \textit{M. Xie}, Commun. Comput. Phys. 19, No. 3, 648--662 (2016; Zbl 1373.82042) Full Text: DOI arXiv Link
Leboeuf, Jean-Noel G.; Decyk, Viktor K.; Newman, David E.; Sanchez, Raul Implementation of 2D domain decomposition in the UCAN gyrokinetic particle-in-cell code and resulting performance of UCAN2. (English) Zbl 1373.82081 Commun. Comput. Phys. 19, No. 1, 205-225 (2016). MSC: 82C80 65M55 76X05 82D10 PDFBibTeX XMLCite \textit{J.-N. G. Leboeuf} et al., Commun. Comput. Phys. 19, No. 1, 205--225 (2016; Zbl 1373.82081) Full Text: DOI
Harmon, Michael; Gamba, Irene M.; Ren, Kui Numerical algorithms based on Galerkin methods for the modeling of reactive interfaces in photoelectrochemical (PEC) solar cells. (English) Zbl 1373.82101 J. Comput. Phys. 327, 140-167 (2016). MSC: 82D37 65M60 PDFBibTeX XMLCite \textit{M. Harmon} et al., J. Comput. Phys. 327, 140--167 (2016; Zbl 1373.82101) Full Text: DOI arXiv
Makarov, V. V.; Selskii, A. O.; Maksimenko, V. A.; Koronovskii, A. A.; Moskalenko, O. I.; Khramov, A. E. Model and program package for study and optimization of generation characteristics of semiconductor superlattice. (Russian. English summary) Zbl 1374.82041 Mat. Model. 28, No. 11, 19-32 (2016). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 82D37 82D80 78A25 78A35 65M55 82-04 PDFBibTeX XMLCite \textit{V. V. Makarov} et al., Mat. Model. 28, No. 11, 19--32 (2016; Zbl 1374.82041) Full Text: MNR
Mangiardi, Chris M.; Meyer, R. Molecular-dynamics simulations using spatial decomposition and task-based parallelism. (English) Zbl 1357.82004 Bélair, Jacques (ed.) et al., Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Cham: Springer (ISBN 978-3-319-30377-2/hbk; 978-3-319-30379-6/ebook). 133-140 (2016). MSC: 82-08 65Y05 65Y10 65N55 PDFBibTeX XMLCite \textit{C. M. Mangiardi} and \textit{R. Meyer}, in: Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7--15, 2015. Cham: Springer. 133--140 (2016; Zbl 1357.82004) Full Text: DOI
Kanschat, Guido; Lucero Lorca, José Pablo A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media. (English) Zbl 1348.65166 Comput. Methods Appl. Math. 16, No. 4, 563-577 (2016). MSC: 65N30 35Q20 65N55 82D75 PDFBibTeX XMLCite \textit{G. Kanschat} and \textit{J. P. Lucero Lorca}, Comput. Methods Appl. Math. 16, No. 4, 563--577 (2016; Zbl 1348.65166) Full Text: DOI
Zhao, Tao; Hwang, Feng-Nan; Cai, Xiao-Chuan A domain decomposition based Jacobi-Davidson algorithm for quantum dot simulation. (English) Zbl 1343.82056 Dickopf, Thomas (ed.) et al., Domain decomposition methods in science and engineering XXII. Proceedings of the 22nd international conference on domain decomposition methods, Lugano, Switzerland, September 16–20, 2013. Cham: Springer (ISBN 978-3-319-18826-3/hbk; 978-3-319-18827-0/ebook). Lecture Notes in Computational Science and Engineering 104, 415-423 (2016). MSC: 82D37 81V65 82-08 65N08 65N25 65N55 65Y05 PDFBibTeX XMLCite \textit{T. Zhao} et al., Lect. Notes Comput. Sci. Eng. 104, 415--423 (2016; Zbl 1343.82056) Full Text: DOI
Guo, Ruihan; Xu, Yan Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. (English) Zbl 1330.65149 SIAM J. Sci. Comput. 38, No. 1, A105-A127 (2016). MSC: 65M60 82D25 35Q82 65M20 65M12 65M55 PDFBibTeX XMLCite \textit{R. Guo} and \textit{Y. Xu}, SIAM J. Sci. Comput. 38, No. 1, A105--A127 (2016; Zbl 1330.65149) Full Text: DOI
Yao, Qinghe; Zhu, Hongkun Numerical simulation of hydrogen dispersion behaviour in a partially open space by a stabilized balancing domain decomposition method. (English) Zbl 1443.65230 Comput. Math. Appl. 69, No. 10, 1068-1079 (2015). MSC: 65M60 76D05 82D05 PDFBibTeX XMLCite \textit{Q. Yao} and \textit{H. Zhu}, Comput. Math. Appl. 69, No. 10, 1068--1079 (2015; Zbl 1443.65230) Full Text: DOI
Li, Qin; Lu, Jianfeng; Sun, Weiran Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics. (English) Zbl 1349.82096 J. Comput. Phys. 292, 141-167 (2015). MSC: 82C80 65M06 82C70 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Comput. Phys. 292, 141--167 (2015; Zbl 1349.82096) Full Text: DOI arXiv Link
Dimarco, Giacomo; Loubère, Raphaël; Rispoli, Vittorio A multiscale fast semi-Lagrangian method for rarefied gas dynamics. (English) Zbl 1349.76452 J. Comput. Phys. 291, 99-119 (2015). MSC: 76M20 76N15 65M06 76M28 76P05 82C40 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 291, 99--119 (2015; Zbl 1349.76452) Full Text: DOI
Yuan, Yirang; Chang, Luo; Li, Changfeng; Sun, Tongjun Theory and applications of domain decomposition with characteristic mixed finite element of three-dimensional semiconductor transient problem of heat conduction. (English) Zbl 1332.82090 Far East J. Appl. Math. 92, No. 1, 51-80 (2015). MSC: 82D37 65M06 65N06 65N30 80A20 65N15 65Y05 65N55 65N12 PDFBibTeX XMLCite \textit{Y. Yuan} et al., Far East J. Appl. Math. 92, No. 1, 51--80 (2015; Zbl 1332.82090) Full Text: DOI Link
Back, Aurore; Hattori, Takashi; Labrunie, Simon; Roche, Jean-Rodolphe; Bertrand, Pierre Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition. (English) Zbl 1328.35227 ESAIM, Math. Model. Numer. Anal. 49, No. 5, 1239-1260 (2015). MSC: 35Q60 65N55 78A40 65N30 65F10 76X05 82B10 65F08 82D75 35P15 PDFBibTeX XMLCite \textit{A. Back} et al., ESAIM, Math. Model. Numer. Anal. 49, No. 5, 1239--1260 (2015; Zbl 1328.35227) Full Text: DOI arXiv
Leibs, C. A.; Manteuffel, T. A. Nested iteration and first-order systems least squares for a two-fluid electromagnetic Darwin model. (English) Zbl 1325.82016 SIAM J. Sci. Comput. 37, No. 5, S314-S333 (2015). MSC: 82C80 82D10 76X05 65F10 65N55 76W05 PDFBibTeX XMLCite \textit{C. A. Leibs} and \textit{T. A. Manteuffel}, SIAM J. Sci. Comput. 37, No. 5, S314--S333 (2015; Zbl 1325.82016) Full Text: DOI
Ketelsen, C.; Manteuffel, T.; Schroder, J. B. Least-squares finite element discretization of the neutron transport equation in spherical geometry. (English) Zbl 1457.65199 SIAM J. Sci. Comput. 37, No. 5, S71-S89 (2015). MSC: 65N30 65N55 65N50 45K05 35R09 82D75 35Q20 35Q82 PDFBibTeX XMLCite \textit{C. Ketelsen} et al., SIAM J. Sci. Comput. 37, No. 5, S71--S89 (2015; Zbl 1457.65199) Full Text: DOI Link
Hu, Jingwei; Ying, Lexing A fast algorithm for the energy space boson Boltzmann collision operator. (English) Zbl 1316.35223 Math. Comput. 84, No. 291, 271-288 (2015). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q20 82C10 65D32 44A35 65T50 PDFBibTeX XMLCite \textit{J. Hu} and \textit{L. Ying}, Math. Comput. 84, No. 291, 271--288 (2015; Zbl 1316.35223) Full Text: DOI
Radziunas, Mindaugas; Čiegis, Raimondas Effective numerical algorithm for simulations of beam stabilization in broad area semiconductor lasers and amplifiers. (English) Zbl 1488.65279 Math. Model. Anal. 19, No. 5, 627-646 (2014). MSC: 65M06 65N06 65Y05 65Z05 35C07 82D37 65T50 65M55 78A60 78M20 PDFBibTeX XMLCite \textit{M. Radziunas} and \textit{R. Čiegis}, Math. Model. Anal. 19, No. 5, 627--646 (2014; Zbl 1488.65279) Full Text: DOI
Olson, Derek; Bochev, Pavel; Luskin, Mitchell; Shapeev, Alexander V. Development of an optimization-based atomistic-to-continuum coupling method. (English) Zbl 1446.74075 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 33-44 (2014). MSC: 74A25 74E15 74S05 82B21 PDFBibTeX XMLCite \textit{D. Olson} et al., Lect. Notes Comput. Sci. 8353, 33--44 (2014; Zbl 1446.74075) Full Text: DOI arXiv
Jamelot, E.; Ciarlet, P. jun.; Baudron, A.-M.; Lautard, J.-J. Domain decomposition for the neutron \(\mathrm{SP}_N\) equations. (English) Zbl 1383.82080 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 677-685 (2014). MSC: 82D75 82-08 65Y05 65F10 65F15 PDFBibTeX XMLCite \textit{E. Jamelot} et al., Lect. Notes Comput. Sci. Eng. 98, 677--685 (2014; Zbl 1383.82080) Full Text: DOI
Baudron, A.-M.; Lautard, J.-J.; Maday, Y.; Mula, O. The parareal in time algorithm applied to the kinetic neutron diffusion equation. (English) Zbl 1383.82079 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 437-445 (2014). MSC: 82D75 35Q82 82-08 65Y05 65M06 65N55 PDFBibTeX XMLCite \textit{A. M. Baudron} et al., Lect. Notes Comput. Sci. Eng. 98, 437--445 (2014; Zbl 1383.82079) Full Text: DOI HAL
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio A smooth transition approach between the Vlasov-Poisson and the Euler-Poisson system. (English) Zbl 1443.76250 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 98, 427-435 (2014). MSC: 76X05 65M55 82D10 PDFBibTeX XMLCite \textit{G. Dimarco} et al., Lect. Notes Comput. Sci. Eng. 98, 427--435 (2014; Zbl 1443.76250) Full Text: DOI
Chen, Jingrun; Ming, Pingbing; Yang, Jerry Zhijian A constrained Cauchy-Born elasticity accelerated multigrid method for nanoindentation. (English) Zbl 1373.82108 Commun. Comput. Phys. 15, No. 2, 470-486 (2014). MSC: 82D80 74G65 65N55 74S05 PDFBibTeX XMLCite \textit{J. Chen} et al., Commun. Comput. Phys. 15, No. 2, 470--486 (2014; Zbl 1373.82108) Full Text: DOI
Vecil, Francesco; Mantas, José M.; Cáceres, María J.; Sampedro, Carlos; Godoy, Andrés; Gámiz, Francisco A parallel deterministic solver for the Schrödinger-Poisson-Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo. (English) Zbl 1362.35304 Comput. Math. Appl. 67, No. 9, 1703-1721 (2014). MSC: 35Q82 82D37 65Y05 65M55 PDFBibTeX XMLCite \textit{F. Vecil} et al., Comput. Math. Appl. 67, No. 9, 1703--1721 (2014; Zbl 1362.35304) Full Text: DOI
Dimarco, Giacomo; Mieussens, Luc; Rispoli, Vittorio An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. (English) Zbl 1351.76101 J. Comput. Phys. 274, 122-139 (2014). MSC: 76M12 65M08 65M55 76X05 82D10 82C80 PDFBibTeX XMLCite \textit{G. Dimarco} et al., J. Comput. Phys. 274, 122--139 (2014; Zbl 1351.76101) Full Text: DOI
Turcksin, Bruno; Ragusa, Jean C. Discontinuous diffusion synthetic acceleration for \(S_n\) transport on 2D arbitrary polygonal meshes. (English) Zbl 1351.82089 J. Comput. Phys. 274, 356-369 (2014). MSC: 82C80 65N55 PDFBibTeX XMLCite \textit{B. Turcksin} and \textit{J. C. Ragusa}, J. Comput. Phys. 274, 356--369 (2014; Zbl 1351.82089) Full Text: DOI
Stehle, Nicholas D.; Anistratov, Dmitriy Y.; Adams, Marvin L. A hybrid transport-diffusion method for 2D transport problems with diffusive subdomains. (English) Zbl 1349.82121 J. Comput. Phys. 270, 325-344 (2014). MSC: 82C80 65N06 82C70 PDFBibTeX XMLCite \textit{N. D. Stehle} et al., J. Comput. Phys. 270, 325--344 (2014; Zbl 1349.82121) Full Text: DOI
Kanschat, G.; Ragusa, J.-C. A robust multigrid preconditioner for \(S_N\)-DG approximation of monochromatic, isotropic radiation transport problems. (English) Zbl 1314.82038 SIAM J. Sci. Comput. 36, No. 5, A2326-A2345 (2014). Reviewer: Matthias Schlottbom (Münster) MSC: 82C70 85A25 65N55 PDFBibTeX XMLCite \textit{G. Kanschat} and \textit{J. C. Ragusa}, SIAM J. Sci. Comput. 36, No. 5, A2326--A2345 (2014; Zbl 1314.82038) Full Text: DOI
Vay, Jean-Luc; Haber, Irving; Godfrey, Brendan B. A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas. (English) Zbl 1349.82126 J. Comput. Phys. 243, 260-268 (2013). MSC: 82C80 65M75 65T50 82D10 PDFBibTeX XMLCite \textit{J.-L. Vay} et al., J. Comput. Phys. 243, 260--268 (2013; Zbl 1349.82126) Full Text: DOI
Baumgartner, Stefan; Heitzinger, Clemens A one-level FETI method for the drift-diffusion-Poisson system with discontinuities at an interface. (English) Zbl 1349.65610 J. Comput. Phys. 243, 74-86 (2013). MSC: 65N30 65N55 65Y05 82C80 82B26 PDFBibTeX XMLCite \textit{S. Baumgartner} and \textit{C. Heitzinger}, J. Comput. Phys. 243, 74--86 (2013; Zbl 1349.65610) Full Text: DOI
Friedhoff, S.; MacLachlan, S.; Börgers, C. Local Fourier analysis of space-time relaxation and multigrid schemes. (English) Zbl 1281.65127 SIAM J. Sci. Comput. 35, No. 5, S250-S276 (2013). MSC: 65M55 35K20 92C55 65M06 65M22 82C31 PDFBibTeX XMLCite \textit{S. Friedhoff} et al., SIAM J. Sci. Comput. 35, No. 5, S250--S276 (2013; Zbl 1281.65127) Full Text: DOI Link
Azevedo, F. S.; Sauter, E.; Thompson, M.; Vilhena, M. T. Green’s function decomposition method for transport equation. (English) Zbl 1279.65142 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23–27, 2012. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7827-0/hbk; 978-1-4614-7828-7/ebook). 15-39 (2013). MSC: 65R20 45K05 82C70 PDFBibTeX XMLCite \textit{F. S. Azevedo} et al., in: Integral methods in science and engineering. Progress in numerical and analytic techniques. Proceedings of the conference, IMSE, Bento Gonçalves, Rio Grande do Sul, Brazil, July 23--27, 2012. New York, NY: Birkhäuser/Springer. 15--39 (2013; Zbl 1279.65142) Full Text: DOI
Aristotelous, Andreas C.; Karakashian, Ohannes; Wise, Steven M. A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver. (English) Zbl 1278.65149 Discrete Contin. Dyn. Syst., Ser. B 18, No. 9, 2211-2238 (2013). MSC: 65M60 65M12 65M55 35Q35 82D60 PDFBibTeX XMLCite \textit{A. C. Aristotelous} et al., Discrete Contin. Dyn. Syst., Ser. B 18, No. 9, 2211--2238 (2013; Zbl 1278.65149) Full Text: DOI
Lee, Hyun Geun; Kim, Junseok An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations. (English) Zbl 1298.65144 Comput. Phys. Commun. 183, No. 10, 2107-2115 (2012). MSC: 65M55 35Q35 82D25 65M12 PDFBibTeX XMLCite \textit{H. G. Lee} and \textit{J. Kim}, Comput. Phys. Commun. 183, No. 10, 2107--2115 (2012; Zbl 1298.65144) Full Text: DOI
Andrianov, S. A. Description technique of relations between Euler’s grid and Lagrange objects. (Russian. English summary) Zbl 1289.82001 Mat. Model. 24, No. 8, 97-108 (2012). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 82B21 76N15 76Txx 65M75 65N75 65M55 PDFBibTeX XMLCite \textit{S. A. Andrianov}, Mat. Model. 24, No. 8, 97--108 (2012; Zbl 1289.82001) Full Text: MNR
Jamelot, Erell; Baudron, Anne-Marie; Lautard, Jean-Jacques Domain decomposition for the \(SP_N\) solver MINOS. (English) Zbl 1273.82081 Transp. Theory Stat. Phys. 41, No. 7, 495-512 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D75 82-08 82-04 65N55 65F10 65N30 PDFBibTeX XMLCite \textit{E. Jamelot} et al., Transp. Theory Stat. Phys. 41, No. 7, 495--512 (2012; Zbl 1273.82081) Full Text: DOI
Lee, B. A multigrid framework for \(S_n\) discretizations of the Boltzmann transport equation. (English) Zbl 1276.82057 SIAM J. Sci. Comput. 34, No. 4, A2018-A2047 (2012). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 65M55 65M70 65N55 65R20 65Z05 82-08 PDFBibTeX XMLCite \textit{B. Lee}, SIAM J. Sci. Comput. 34, No. 4, A2018--A2047 (2012; Zbl 1276.82057) Full Text: DOI
Kacem, S.; Eichwald, O.; Ducasse, O.; Renon, N.; Yousfi, M.; Charrada, K. Full multi grid method for electric field computation in point-to-plane streamer discharge in air at atmospheric pressure. (English) Zbl 1241.78009 J. Comput. Phys. 231, No. 2, 251-261 (2012). MSC: 78A35 76W05 82D10 78M25 65N55 65F10 PDFBibTeX XMLCite \textit{S. Kacem} et al., J. Comput. Phys. 231, No. 2, 251--261 (2012; Zbl 1241.78009) Full Text: DOI
Blesgen, T.; Gavini, V.; Khoromskaia, V. Approximation of the electron density of aluminium clusters in tensor-product format. (English) Zbl 1245.82078 J. Comput. Phys. 231, No. 6, 2551-2564 (2012). MSC: 82D35 82-08 35Q40 65N30 65N55 PDFBibTeX XMLCite \textit{T. Blesgen} et al., J. Comput. Phys. 231, No. 6, 2551--2564 (2012; Zbl 1245.82078) Full Text: DOI
Yuan, Yirang The modified method of characteristics with mixed finite element domain decomposition procedures for the transient behavior of a semiconductor device. (English) Zbl 1231.82086 Numer. Methods Partial Differ. Equations 28, No. 1, 353-368 (2012). MSC: 82D37 65M25 65M60 65M55 82-08 80A20 65M12 78A30 PDFBibTeX XMLCite \textit{Y. Yuan}, Numer. Methods Partial Differ. Equations 28, No. 1, 353--368 (2012; Zbl 1231.82086) Full Text: DOI
Salas, Oscar; Lanucara, Piero; Pietra, Paola; Rovida, Sergio; Sacchi, Giovanni Parallelization of a quantum-classic hybrid model for nanoscale semiconductor devices. (Spanish. English summary) Zbl 1307.82027 Rev. Mat. Teor. Apl. 18, No. 2, 231-248 (2011). MSC: 82D37 65N55 PDFBibTeX XMLCite \textit{O. Salas} et al., Rev. Mat. Teor. Apl. 18, No. 2, 231--248 (2011; Zbl 1307.82027) Full Text: DOI
Barrault, M.; Lathuilière, B.; Ramet, P.; Roman, J. Efficient parallel resolution of the simplified transport equations in mixed-dual formulation. (English) Zbl 1217.82127 J. Comput. Phys. 230, No. 5, 2004-2020 (2011). Reviewer: Dazmir Shulaia (Tbilisi) MSC: 82D75 82-08 65F15 65N30 65Y05 PDFBibTeX XMLCite \textit{M. Barrault} et al., J. Comput. Phys. 230, No. 5, 2004--2020 (2011; Zbl 1217.82127) Full Text: DOI HAL
Xu, Jin; Mustapha, Brahim; Ostroumov, Peter; Nolen, Jerry Direct Vlasov solvers with high-order spectral element method. (English) Zbl 1364.82059 Commun. Comput. Phys. 8, No. 1, 159-184 (2010). MSC: 82C80 65M70 65M60 82D10 PDFBibTeX XMLCite \textit{J. Xu} et al., Commun. Comput. Phys. 8, No. 1, 159--184 (2010; Zbl 1364.82059) Full Text: DOI Link
Ritter, Daniel; Stürmer, Markus; Rüde, Ulrich A fast-adaptive composite grid algorithm for solving the free-space Poisson problem on the cell broadband engine. (English) Zbl 1240.82005 Numer. Linear Algebra Appl. 17, No. 2-3, 291-305 (2010). MSC: 82C80 65N55 65Y20 65N08 PDFBibTeX XMLCite \textit{D. Ritter} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 291--305 (2010; Zbl 1240.82005) Full Text: DOI
Thum, Peter; Clees, Tanja Towards physics-oriented smoothing in algebraic multigrid for systems of partial differential equations arising in multi-ion transport and reaction models. (English) Zbl 1240.82006 Numer. Linear Algebra Appl. 17, No. 2-3, 253-271 (2010). MSC: 82C80 65M55 PDFBibTeX XMLCite \textit{P. Thum} and \textit{T. Clees}, Numer. Linear Algebra Appl. 17, No. 2--3, 253--271 (2010; Zbl 1240.82006) Full Text: DOI
Xu, J.; Ostroumov, P. N.; Mustapha, B.; Nolen, J. Scalable direct Vlasov solver with discontinuous Galerkin method on unstructured mesh. (English) Zbl 1278.82052 SIAM J. Sci. Comput. 32, No. 6, 3476-3494 (2010). MSC: 82C80 65M50 65M60 68W10 76X05 82D10 PDFBibTeX XMLCite \textit{J. Xu} et al., SIAM J. Sci. Comput. 32, No. 6, 3476--3494 (2010; Zbl 1278.82052) Full Text: DOI
Kohn, R. V.; Versieux, H. M. Numerical analysis of a steepest-descent PDE model for surface relaxation below the roughening temperature. (English) Zbl 1219.82241 SIAM J. Numer. Anal. 48, No. 5, 1781-1800 (2010). MSC: 82D80 65M55 65M12 35G25 35R70 74H15 82-08 PDFBibTeX XMLCite \textit{R. V. Kohn} and \textit{H. M. Versieux}, SIAM J. Numer. Anal. 48, No. 5, 1781--1800 (2010; Zbl 1219.82241) Full Text: DOI
Lee, B. A novel multigrid method for SN discretizations of the mono-energetic Boltzmann transport equation in the optically thick and thin regimes with anisotropic scattering. I. (English) Zbl 1323.65107 SIAM J. Sci. Comput. 31, No. 6, 4744-4773 (2010). MSC: 65M60 65M55 65R20 65Z05 82C70 82C80 PDFBibTeX XMLCite \textit{B. Lee}, SIAM J. Sci. Comput. 31, No. 6, 4744--4773 (2010; Zbl 1323.65107) Full Text: DOI
Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. (English) Zbl 1202.82003 Int. J. Numer. Methods Eng. 84, No. 4, 448-469 (2010). MSC: 82-08 82D37 PDFBibTeX XMLCite \textit{P. T. Lin} et al., Int. J. Numer. Methods Eng. 84, No. 4, 448--469 (2010; Zbl 1202.82003) Full Text: DOI
Kruis, Jaroslav; Koudelka, Tomáš; Krejčí, Tomáš Efficient computer implementation of coupled hydro-thermo-mechanical analysis. (English) Zbl 1198.82077 Math. Comput. Simul. 80, No. 8, 1578-1588 (2010). MSC: 82D75 74F05 74F10 65N55 65Y05 PDFBibTeX XMLCite \textit{J. Kruis} et al., Math. Comput. Simul. 80, No. 8, 1578--1588 (2010; Zbl 1198.82077) Full Text: DOI
Guérin, Pierre; Baudron, Anne-Marie; Lautard, Jean-Jacques Domain decomposition methods for the neutron diffusion problem. (English) Zbl 1196.65174 Math. Comput. Simul. 80, No. 11, 2159-2167 (2010). MSC: 65N25 35J25 82D75 65N30 65N55 65Y05 35P15 PDFBibTeX XMLCite \textit{P. Guérin} et al., Math. Comput. Simul. 80, No. 11, 2159--2167 (2010; Zbl 1196.65174) Full Text: DOI
Voigt, Axel; Witkowski, Thomas Hybrid parallelization of an adaptive finite element code. (English) Zbl 1195.65135 Kybernetika 46, No. 2, 316-327 (2010). MSC: 65M60 35K55 65M55 65M15 65Y05 82D25 PDFBibTeX XMLCite \textit{A. Voigt} and \textit{T. Witkowski}, Kybernetika 46, No. 2, 316--327 (2010; Zbl 1195.65135) Full Text: EuDML Link
Adelmann, A.; Arbenz, P.; Ineichen, Y. A fast parallel Poisson solver on irregular domains applied to beam dynamics simulations. (English) Zbl 1192.78010 J. Comput. Phys. 229, No. 12, 4554-4566 (2010). MSC: 78A35 82C22 81V25 78A30 65M75 65M55 65Y05 65F10 PDFBibTeX XMLCite \textit{A. Adelmann} et al., J. Comput. Phys. 229, No. 12, 4554--4566 (2010; Zbl 1192.78010) Full Text: DOI arXiv
Vanherpe, Liesbeth; Wendler, Frank; Nestler, Britta; Vandewalle, Stefan A multigrid solver for phase field simulation of microstructure evolution. (English) Zbl 1191.82035 Math. Comput. Simul. 80, No. 7, 1438-1448 (2010). MSC: 82C24 65M55 PDFBibTeX XMLCite \textit{L. Vanherpe} et al., Math. Comput. Simul. 80, No. 7, 1438--1448 (2010; Zbl 1191.82035) Full Text: DOI Link
Binder, Kurt; Puri, Sanjay; Das, Subir K.; Horbach, Jürgen Phase separation in confined geometries. (English) Zbl 1187.82074 J. Stat. Phys. 138, No. 1-3, 51-84 (2010). MSC: 82C20 82C26 35Q56 PDFBibTeX XMLCite \textit{K. Binder} et al., J. Stat. Phys. 138, No. 1--3, 51--84 (2010; Zbl 1187.82074) Full Text: DOI
Guo, Ben-Yu; Wang, Tian-Jun Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel. (English) Zbl 1198.65200 Math. Comput. 78, No. 265, 129-151 (2009). MSC: 65M70 35Q84 82C99 PDFBibTeX XMLCite \textit{B.-Y. Guo} and \textit{T.-J. Wang}, Math. Comput. 78, No. 265, 129--151 (2009; Zbl 1198.65200) Full Text: DOI
Sun, Pengtao; Xue, Guangri; Wang, Chaoyang; Xu, Jinchao New numerical techniques for a three-dimensional liquid-feed direct methanol fuel cell model. (English) Zbl 1191.82044 SIAM J. Appl. Math. 70, No. 2, 600-620 (2009). MSC: 82C70 65B99 65K05 65K10 65N12 65N22 65N30 65N55 65Z05 PDFBibTeX XMLCite \textit{P. Sun} et al., SIAM J. Appl. Math. 70, No. 2, 600--620 (2009; Zbl 1191.82044) Full Text: DOI