Watson, Alexander B.; Kong, Tianyu; MacDonald, Allan H.; Luskin, Mitchell Bistritzer-Macdonald dynamics in twisted bilayer graphene. (English) Zbl 1511.82042 J. Math. Phys. 64, No. 3, Article ID 031502, 38 p. (2023). MSC: 82D20 35J10 81V70 82D25 81Q05 PDFBibTeX XMLCite \textit{A. B. Watson} et al., J. Math. Phys. 64, No. 3, Article ID 031502, 38 p. (2023; Zbl 1511.82042) Full Text: DOI arXiv
Kong, Tianyu; Liu, Diyi; Luskin, Mitchell; Watson, Alexander B. Modeling of electronic dynamics in twisted bilayer graphene. arXiv:2308.10430 Preprint, arXiv:2308.10430 [math-ph] (2023). MSC: 81-XX 65-XX 35-XX BibTeX Cite \textit{T. Kong} et al., ``Modeling of electronic dynamics in twisted bilayer graphene'', Preprint, arXiv:2308.10430 [math-ph] (2023) Full Text: arXiv OA License
Hott, Michael; Watson, Alexander B.; Luskin, Mitchell From incommensurate bilayer heterostructures to Allen-Cahn: An exact thermodynamic limit. arXiv:2305.18186 Preprint, arXiv:2305.18186 [math-ph] (2023). MSC: 82-10 74-10 70-10 37A44 37A46 35Qxx 35Q56 BibTeX Cite \textit{M. Hott} et al., ``From incommensurate bilayer heterostructures to Allen-Cahn: An exact thermodynamic limit'', Preprint, arXiv:2305.18186 [math-ph] (2023) Full Text: arXiv OA License
Margetis, Dionisios; Luskin, Mitchell On solutions of Maxwell’s equations with dipole sources over a thin conducting film. (English) Zbl 1347.78006 J. Math. Phys. 57, No. 4, 042903, 32 p. (2016). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A25 78A40 82D77 82D80 35Q61 PDFBibTeX XMLCite \textit{D. Margetis} and \textit{M. Luskin}, J. Math. Phys. 57, No. 4, 042903, 32 p. (2016; Zbl 1347.78006) Full Text: DOI arXiv
Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Süli, Endre Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. (English) Zbl 1015.65049 Math. Comput. 72, No. 242, 577-606 (2003). Reviewer: Leonid B.Chubarov (Novosibirsk) MSC: 65M60 35L65 65M15 65M12 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Math. Comput. 72, No. 242, 577--606 (2003; Zbl 1015.65049) Full Text: DOI
Bjørstad, Petter E. (ed.); Luskin, Mitchell (ed.) Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9–13, 1997. (English) Zbl 0938.00013 The IMA Volumes in Mathematics and its Applications. 120. New York, NY: Springer. x, 297 p. (2000). MSC: 00B25 65-06 35-06 PDFBibTeX XMLCite \textit{P. E. Bjørstad} (ed.) and \textit{M. Luskin} (ed.), Parallel solution of partial differential equations. Proceedings of a workshop, Univ. of Minnesota, Minneapolis, MN, USA, June 9--13, 1997. New York, NY: Springer (2000; Zbl 0938.00013)
Cockburn, Bernardo; Luskin, Mitchell; Shu, Chi-Wang; Süli, Endre Post-processing of Galerkin methods for hyperbolic problems. (English) Zbl 0946.65085 Cockburn, Bernardo (ed.) et al., Discontinuous Galerkin methods. Theory, computation and applications. 1st international symposium on DGM, Newport, RI, USA, May 24-26, 1999. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 11, 291-300 (2000). MSC: 65M60 65M12 35L45 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Lect. Notes Comput. Sci. Eng. 11, 291--300 (2000; Zbl 0946.65085)
Klouček, Petr; Li, Bo; Luskin, Mitchell Analysis of a class of nonconforming finite elements for crystalline microstructures. (English) Zbl 0903.65081 Math. Comput. 65, No. 215, 1111-1135 (1996). Reviewer: J.J.Telega (Warszawa) MSC: 65N30 65N15 82D25 65N12 35J25 35J70 PDFBibTeX XMLCite \textit{P. Klouček} et al., Math. Comput. 65, No. 215, 1111--1135 (1996; Zbl 0903.65081) Full Text: DOI
Kinderlehrer, David (ed.); James, Richard (ed.); Luskin, Mitchell (ed.); Ericksen, Jerry L. (ed.) Microstructure and phase transition. Based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on phase transitions and free boundaries. (English) Zbl 0787.00039 The IMA Volumes in Mathematics and its Applications. 54. New York, NY: Springer-Verlag. 215 p. (1994). MSC: 00B25 74-06 35-06 49-06 PDFBibTeX XMLCite \textit{D. Kinderlehrer} (ed.) et al., Microstructure and phase transition. Based on the proceedings of a workshop which was an integral part of the 1990-91 IMA program on phase transitions and free boundaries. New York, NY: Springer-Verlag (1994; Zbl 0787.00039)
Luskin, Mitchell; Ma, Ling Analysis of the finite element approximation of microstructure in micromagnetics. (English) Zbl 0760.65113 SIAM J. Numer. Anal. 29, No. 2, 320-331 (1992). Reviewer: R.Tracht (Essen) MSC: 65Z05 65N30 65N12 78A30 35Q60 35J70 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{L. Ma}, SIAM J. Numer. Anal. 29, No. 2, 320--331 (1992; Zbl 0760.65113) Full Text: DOI Link
Fabes, Eugene; Luskin, Mitchell; Sell, George R. Construction of inertial manifolds by elliptic regularization. (English) Zbl 0728.34047 J. Differ. Equations 89, No. 2, 355-387 (1991). Reviewer: J.So (Edmonton) MSC: 34C30 34G20 35B40 35G10 35K25 PDFBibTeX XMLCite \textit{E. Fabes} et al., J. Differ. Equations 89, No. 2, 355--387 (1991; Zbl 0728.34047) Full Text: DOI
Collins, Charles; Luskin, Mitchell Optimal-order error estimates for the finite element approximation of the solution of a nonconvex variational problem. (English) Zbl 0735.65042 Math. Comput. 57, No. 196, 621-637 (1991). Reviewer: G.Jumarie MSC: 65K10 49M15 49K20 35J20 35J70 PDFBibTeX XMLCite \textit{C. Collins} and \textit{M. Luskin}, Math. Comput. 57, No. 196, 621--637 (1991; Zbl 0735.65042) Full Text: DOI
Chipot, Michel; Luskin, Mitchell Existence of solutions to the elastohydrodynamical equations for magnetic recording systems. (English) Zbl 0707.35123 SIAM J. Math. Anal. 21, No. 1, 1-17 (1990). Reviewer: Gh.Morosanu MSC: 35Q35 35J65 76W05 PDFBibTeX XMLCite \textit{M. Chipot} and \textit{M. Luskin}, SIAM J. Math. Anal. 21, No. 1, 1--17 (1990; Zbl 0707.35123) Full Text: DOI Link
Luskin, Mitchell; Sell, George R. Approximation theories for inertial manifolds. (English) Zbl 0688.58035 RAIRO, Modélisation Math. Anal. Numér. 23, No. 3, 445-461 (1989). Reviewer: J.Wu MSC: 34K99 35K57 65M60 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{G. R. Sell}, RAIRO, Modélisation Math. Anal. Numér. 23, No. 3, 445--461 (1989; Zbl 0688.58035) Full Text: DOI EuDML
Chipot, Michel; Luskin, Mitchell The compressible Reynolds lubrication equation. (English) Zbl 0656.76062 Metastability and incompletely posed problems, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 3, 61-75 (1987). Reviewer: V.V.Vasil’ev MSC: 76N10 35K55 74F10 74K20 PDFBibTeX XML
Chipot, Michel; Luskin, Mitchell Existence and uniqueness of solutions to the compressible Reynolds lubrication equation. (English) Zbl 0645.76084 SIAM J. Math. Anal. 17, 1390-1399 (1986). MSC: 76N99 35J65 PDFBibTeX XMLCite \textit{M. Chipot} and \textit{M. Luskin}, SIAM J. Math. Anal. 17, 1390--1399 (1986; Zbl 0645.76084) Full Text: DOI Link
Luskin, Mitchell; Temple, Blake The existence of a global weak solution to the nonlinear Waterhammer problem. (English) Zbl 0504.76030 Commun. Pure Appl. Math. (to appear). MSC: 76B55 35D05 35L65 PDFBibTeX XML
Luskin, Mitchell; Temple, Blake The existence of a global weak solution to the nonlinear waterhammer problem. (English) Zbl 0489.35054 Commun. Pure Appl. Math. 35, 697-735 (1982). MSC: 35L70 35D05 35B45 76B10 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{B. Temple}, Commun. Pure Appl. Math. 35, 697--735 (1982; Zbl 0489.35054) Full Text: DOI
Luskin, Mitchell; Rannacher, Rolf On the smoothing property of the Galerkin method for parabolic equations. (English) Zbl 0483.65064 SIAM J. Numer. Anal. 19, 93-113 (1982). MSC: 65N30 35K20 65N15 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 19, 93--113 (1982; Zbl 0483.65064) Full Text: DOI
Luskin, Mitchell; Temple, Blake The existence of a global weak solution to the nonlinear waterhammer problem. (English) Zbl 0479.35063 Commun. Pure Appl. Math. (to appear). MSC: 35L70 35D05 35B45 76B10 PDFBibTeX XML
Luskin, Mitchell; Rannacher, Rolf On the smoothing property of the Crank-Nicolson scheme. (English) Zbl 0476.65062 Appl. Anal. 14, 117-135 (1982). MSC: 65M12 35K20 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{R. Rannacher}, Appl. Anal. 14, 117--135 (1982; Zbl 0476.65062) Full Text: DOI
Luskin, Mitchell On the existence of global smooth solutions for a model equation for fluid flow in a pipe. (English) Zbl 0485.76014 J. Math. Anal. Appl. 84, 614-630 (1981). MSC: 76B10 35A05 PDFBibTeX XMLCite \textit{M. Luskin}, J. Math. Anal. Appl. 84, 614--630 (1981; Zbl 0485.76014) Full Text: DOI
Descloux, Jean; Luskin, Mitchell; Rappaz, Jacques Approximation of the spectrum of closed operators: The determination of normal modes of a rotating basin. (English) Zbl 0458.65084 Math. Comput. 36, 137-154 (1981). MSC: 65N25 47A10 65N30 65J10 76B10 47F05 35P05 35P15 PDFBibTeX XMLCite \textit{J. Descloux} et al., Math. Comput. 36, 137--154 (1981; Zbl 0458.65084) Full Text: DOI
Luskin, Mitchell A finite element method for first-order hyperbolic systems. (English) Zbl 0447.65064 Math. Comput. 35, 1093-1112 (1980). MSC: 65N30 35L50 35L60 76N15 PDFBibTeX XMLCite \textit{M. Luskin}, Math. Comput. 35, 1093--1112 (1980; Zbl 0447.65064) Full Text: DOI
Luskin, Mitchell Convergence of a finite element method for the approximation of normal modes of the oceans. (English) Zbl 0431.65066 Math. Comput. 33, 493-519 (1979). MSC: 65N25 47F05 35P15 47B25 65Z05 65N30 76B15 PDFBibTeX XMLCite \textit{M. Luskin}, Math. Comput. 33, 493--519 (1979; Zbl 0431.65066) Full Text: DOI
Luskin, Mitchell A Galerkin method for nonlinear parabolic equations with nonlinear boundary conditions. (English) Zbl 0405.65059 SIAM J. Numer. Anal. 16, 284-299 (1979). MSC: 65N30 35K60 PDFBibTeX XMLCite \textit{M. Luskin}, SIAM J. Numer. Anal. 16, 284--299 (1979; Zbl 0405.65059) Full Text: DOI
Luskin, Mitchell An approximation procedure for nonsymmetric, nonlinear hyperbolic systems with integral boundary conditions. (English) Zbl 0399.65086 SIAM J. Numer. Anal. 16, 145-164 (1979). MSC: 65N35 35L50 35L60 46M05 65N15 PDFBibTeX XMLCite \textit{M. Luskin}, SIAM J. Numer. Anal. 16, 145--164 (1979; Zbl 0399.65086) Full Text: DOI