Busto, Saray; Dumbser, Michael A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. (English) Zbl 1503.65223 J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022). MSC: 65M60 65L06 65N30 65M12 76F10 76B15 76D05 76N06 76M10 74B20 74S05 80A19 35L02 35Q31 35Q30 35Q79 PDFBibTeX XMLCite \textit{S. Busto} and \textit{M. Dumbser}, J. Sci. Comput. 93, No. 2, Paper No. 56, 40 p. (2022; Zbl 1503.65223) Full Text: DOI
Yousefi, Hassan; Rabczuk, Timon Wave propagation in generalized thermo-poro-elastic media via wavelet-based cell-adaptive central high resolution schemes using UNO limiters. (English) Zbl 1486.65135 Appl. Numer. Math. 173, 112-143 (2022). MSC: 65M06 35L65 65M12 65T60 74A15 74B10 76S05 35F20 PDFBibTeX XMLCite \textit{H. Yousefi} and \textit{T. Rabczuk}, Appl. Numer. Math. 173, 112--143 (2022; Zbl 1486.65135) Full Text: DOI
Tavelli, Maurizio; Chiocchetti, Simone; Romenski, Evgeniy; Gabriel, Alice-Agnes; Dumbser, Michael Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure. (English) Zbl 07508383 J. Comput. Phys. 422, Article ID 109758, 32 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Tavelli} et al., J. Comput. Phys. 422, Article ID 109758, 32 p. (2020; Zbl 07508383) Full Text: DOI arXiv
Mifsud, Clément; Després, Bruno A numerical approach of Friedrichs’ systems under constraints in bounded domains. (English) Zbl 1407.65149 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 321-333 (2018). MSC: 65M08 65M12 35L50 35L60 74C05 74S10 PDFBibTeX XMLCite \textit{C. Mifsud} and \textit{B. Després}, Springer Proc. Math. Stat. 237, 321--333 (2018; Zbl 1407.65149) Full Text: DOI HAL
Boscheri, Walter; Dumbser, Michael; Loubère, Raphaël Cell centered direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes for nonlinear hyperelasticity. (English) Zbl 1390.76399 Comput. Fluids 134-135, 111-129 (2016). MSC: 76M12 65M08 74B20 PDFBibTeX XMLCite \textit{W. Boscheri} et al., Comput. Fluids 134--135, 111--129 (2016; Zbl 1390.76399) Full Text: DOI arXiv
Dumbser, Michael; Peshkov, Ilya; Romenski, Evgeniy; Zanotti, Olindo High order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids. (English) Zbl 1349.76324 J. Comput. Phys. 314, 824-862 (2016). MSC: 76M12 74S10 76M10 74S05 65M08 65M60 PDFBibTeX XMLCite \textit{M. Dumbser} et al., J. Comput. Phys. 314, 824--862 (2016; Zbl 1349.76324) Full Text: DOI arXiv
Aguillon, Nina Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme. (English) Zbl 1388.74110 Interfaces Free Bound. 18, No. 2, 137-159 (2016). MSC: 74S10 74J40 35L45 35L65 65M08 35L67 PDFBibTeX XMLCite \textit{N. Aguillon}, Interfaces Free Bound. 18, No. 2, 137--159 (2016; Zbl 1388.74110) Full Text: DOI arXiv
Lombard, Bruno; Matignon, Denis Diffusive approximation of a time-fractional Burger’s equation in nonlinear acoustics. (English) Zbl 1443.65275 SIAM J. Appl. Math. 76, No. 5, 1765-1791 (2016). MSC: 65M99 26A33 35L60 35Q53 35R11 74J30 PDFBibTeX XMLCite \textit{B. Lombard} and \textit{D. Matignon}, SIAM J. Appl. Math. 76, No. 5, 1765--1791 (2016; Zbl 1443.65275) Full Text: DOI arXiv
Castro, Manuel J.; López, Juan Antonio; Parés, Carlos Finite volume simulation of the geostrophic adjustment in a rotating shallow-water system. (English) Zbl 1183.74332 SIAM J. Sci. Comput. 31, No. 1, 444-477 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. J. Castro} et al., SIAM J. Sci. Comput. 31, No. 1, 444--477 (2008; Zbl 1183.74332) Full Text: DOI
Castro, Manuel; Gallardo, José M.; López-García, Juan A.; Parés, Carlos Well-balanced high order extensions of Godunov’s method for semilinear balance laws. (English) Zbl 1159.74045 SIAM J. Numer. Anal. 46, No. 2, 1012-1039 (2008). MSC: 74S10 65M06 35L60 35L65 PDFBibTeX XMLCite \textit{M. Castro} et al., SIAM J. Numer. Anal. 46, No. 2, 1012--1039 (2008; Zbl 1159.74045) Full Text: DOI
Jovanović, Vladimir Error estimates for the Lax-Friedrichs scheme for balance laws. (English) Zbl 1157.65054 Comput. Methods Appl. Math. 8, No. 2, 130-142 (2008). Reviewer: Petr Sváček (Praha) MSC: 65M15 35L60 35L65 65M06 74B20 74S20 PDFBibTeX XMLCite \textit{V. Jovanović}, Comput. Methods Appl. Math. 8, No. 2, 130--142 (2008; Zbl 1157.65054) Full Text: DOI
Kulikovskij, A. G.; Pogorelov, N. V.; Semenov, A. Yu. Mathematical problems in the numerical solution of hyperbolic systems of equations. (Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenij.) (Russian) Zbl 1007.65058 Moscow: Fiziko-Matematicheskaya Literatura. 608 p. (2001). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 65-02 74Bxx 74S20 35L45 35L65 76M20 76N15 76W05 76S05 PDFBibTeX XMLCite \textit{A. G. Kulikovskij} et al., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenij (Russian). Moscow: Fiziko-Matematicheskaya Literatura (2001; Zbl 1007.65058)
Vola, Didier; Pratt, Elaine; Jean, Michel; Raous, Michel Consistent time discretization for a dynamical frictional contact problem and complementarity techniques. (English) Zbl 0916.73081 Rev. Eur. Élém. Finis 7, No. 1-3, 149-162 (1998). MSC: 74S30 74A55 74M15 90C33 PDFBibTeX XMLCite \textit{D. Vola} et al., Rev. Eur. Élém. Finis 7, No. 1--3, 149--162 (1998; Zbl 0916.73081) Full Text: DOI HAL
Khdeir, A. A.; Reddy, J. N.; Frederick, D. A study of bending, vibration and buckling of cross-ply circular cylindrical shells with various shell theories. (English) Zbl 0705.73117 Int. J. Eng. Sci. 27, No. 11, 1337-1351 (1989). MSC: 74H45 74G60 74K15 PDFBibTeX XMLCite \textit{A. A. Khdeir} et al., Int. J. Eng. Sci. 27, No. 11, 1337--1351 (1989; Zbl 0705.73117) Full Text: DOI
Reddy, J. N.; Khdeir, A. A. Buckling and vibration of laminated composite plates using various plate theories. (English) Zbl 0697.73039 AIAA J. 27, No. 12, 1808-1817 (1989). MSC: 74G60 74H45 74S05 74E30 74K20 PDFBibTeX XMLCite \textit{J. N. Reddy} and \textit{A. A. Khdeir}, AIAA J. 27, No. 12, 1808--1817 (1989; Zbl 0697.73039) Full Text: DOI
Saliba, Joseph E. Numerical stability of implicit integration schemes in nonassociated viscoplasticity. (English) Zbl 0685.73039 Comput. Struct. 31, No. 5, 693-698 (1989). MSC: 74S30 74S05 74C99 74C10 65L05 PDFBibTeX XMLCite \textit{J. E. Saliba}, Comput. Struct. 31, No. 5, 693--698 (1989; Zbl 0685.73039) Full Text: DOI
Davis, Julian L. Finite difference methods in dynamics of continuous media. (English) Zbl 0671.73059 New York: Macmillan Co. XIV, 238 p.; $ 45.00 (1986). MSC: 74S30 74-01 65-01 76-01 65N06 PDFBibTeX XML
Kujawski, J.; Desai, C. S. A quasi-explicit modification of the two time level family of schemes for nonlinear transient analysis. (English) Zbl 0567.73103 Int. J. Numer. Anal. Methods Geomech. 9, 437-451 (1985). MSC: 74L10 74S99 65L05 65L20 PDFBibTeX XMLCite \textit{J. Kujawski} and \textit{C. S. Desai}, Int. J. Numer. Anal. Methods Geomech. 9, 437--451 (1985; Zbl 0567.73103) Full Text: DOI
Chernigovskij, S. V. Stability of weighted difference schemes for the computation of plane problems of non-stationary thermoelasticity. (Russian) Zbl 0524.73013 Mat. Issled. 75, 125-133 (1983). MSC: 74F05 74S99 74A15 PDFBibTeX XMLCite \textit{S. V. Chernigovskij}, Mat. Issled. 75, 125--133 (1983; Zbl 0524.73013) Full Text: EuDML
DiPerna, R. J. Convergence of approximate solutions to conservation laws. (English) Zbl 0519.35054 Arch. Ration. Mech. Anal. 82, 27-70 (1983). MSC: 35L65 35A35 65M99 65N99 35B35 35B45 35L60 46E35 60B05 65M12 54A20 74B20 76L05 76N15 PDFBibTeX XMLCite \textit{R. J. DiPerna}, Arch. Ration. Mech. Anal. 82, 27--70 (1983; Zbl 0519.35054) Full Text: DOI
Flanagan, D. P.; Belytschko, T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control. (English) Zbl 0478.73049 Int. J. Numer. Methods Eng. 17, 679-706 (1981). MSC: 74S05 65K10 PDFBibTeX XMLCite \textit{D. P. Flanagan} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 17, 679--706 (1981; Zbl 0478.73049) Full Text: DOI
Argyris, J. H.; Doltsinis, J. St.; Willam, K. J. New developments in the inelastic analysis of quasistatic and dynamic problems. (English) Zbl 0439.73075 Int. J. Numer. Methods Eng. 14, 1813-1850 (1979). MSC: 74S30 74A99 74C99 65D30 PDFBibTeX XMLCite \textit{J. H. Argyris} et al., Int. J. Numer. Methods Eng. 14, 1813--1850 (1979; Zbl 0439.73075) Full Text: DOI