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Energy-dissipation balance of a smooth moving crack. [Internet]. 2020 ;483(2):123656. Available from: https://www.sciencedirect.com/science/article/pii/S0022247X19309242
. Existence of solutions to a phase–field model of dynamic fracture with a crack–dependent dissipation. [Internet]. 2020 ;27(2):14. Available from: https://doi.org/10.1007/s00030-020-0617-z
. An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains. [Internet]. 2021 . Available from: https://doi.org/10.1007/s00028-021-00713-2
. Linear Hyperbolic Systems in Domains with Growing Cracks. [Internet]. 2017 ;85(1):149 - 185. Available from: https://doi.org/10.1007/s00032-017-0268-7
. A dynamic model for viscoelastic materials with prescribed growing cracks. [Internet]. 2020 ;199(4):1263 - 1292. Available from: https://doi.org/10.1007/s10231-019-00921-1
. Convergence of the mimetic finite difference method for eigenvalue problems in mixed form. Comput. Methods Appl. Mech. Engrg. [Internet]. 2011 ;200:1150–1160. Available from: https://doi.org/10.1016/j.cma.2010.06.011
. Virtual element method for quasilinear elliptic problems. IMA Journal of Numerical Analysis [Internet]. 2019 ;40:2450-2472. Available from: https://doi.org/10.1093/imanum/drz035
. A posteriori error estimates for the virtual element method. Numer. Math. [Internet]. 2017 ;137:857–893. Available from: https://doi.org/10.1007/s00211-017-0891-9
. On local super-penalization of interior penalty discontinuous Galerkin methods. Int. J. Numer. Anal. Model. 2014 ;11:478–495.
. The residual-free-bubble finite element method on anisotropic partitions. SIAM J. Numer. Anal. [Internet]. 2007 ;45:1654–1678. Available from: https://doi.org/10.1137/060658011
. \it A posteriori error analysis for implicit-explicit $hp$-discontinuous Galerkin timestepping methods for semilinear parabolic problems. J. Sci. Comput. [Internet]. 2020 ;82:Paper No. 26, 24. Available from: https://doi.org/10.1007/s10915-020-01130-2
. The nonconforming virtual element method for the Stokes equations. SIAM J. Numer. Anal. [Internet]. 2016 ;54:3411–3435. Available from: https://doi.org/10.1137/15M1049531
. On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems. J. Sci. Comput. [Internet]. 2013 ;57:313–330. Available from: https://doi.org/10.1007/s10915-013-9707-y
. Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Mathematical Models and Methods in Applied Sciences [Internet]. 2021 ;31:711-751. Available from: https://doi.org/10.1142/S0218202521500172
. $hp$-version discontinuous Galerkin methods on polygonal and polyhedral meshes. Springer, Cham; 2017 p. viii+131.
. Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems. IMA J. Numer. Anal. [Internet]. 2014 ;34:1578–1597. Available from: https://doi.org/10.1093/imanum/drt052
. Flux reconstruction and solution post-processing in mimetic finite difference methods. Comput. Methods Appl. Mech. Engrg. [Internet]. 2008 ;197:933–945. Available from: https://doi.org/10.1016/j.cma.2007.09.019
. Hourglass stabilization and the virtual element method. International Journal for Numerical Methods in Engineering [Internet]. 2015 ;102:404-436. Available from: https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.4854
. Adaptivity and blow-up detection for nonlinear evolution problems. SIAM J. Sci. Comput. [Internet]. 2016 ;38:A3833–A3856. Available from: https://doi.org/10.1137/16M106073X
. Discontinuous Galerkin methods for mass transfer through semipermeable membranes. SIAM J. Numer. Anal. [Internet]. 2013 ;51:2911–2934. Available from: https://doi.org/10.1137/120890429
. Virtual element methods for elliptic problems on polygonal meshes. In: Generalized barycentric coordinates in computer graphics and computational mechanics. Generalized barycentric coordinates in computer graphics and computational mechanics. CRC Press, Boca Raton, FL; 2018. pp. 263–279.
. Hourglass stabilization and the virtual element method. Internat. J. Numer. Methods Engrg. [Internet]. 2015 ;102:404–436. Available from: https://doi.org/10.1002/nme.4854
. Convergence analysis of the mimetic finite difference method for elliptic problems. SIAM J. Numer. Anal. [Internet]. 2009 ;47:2612–2637. Available from: https://doi.org/10.1137/080717560
. Enhanced residual-free bubble method for convection-diffusion problems. In: Internat. J. Numer. Methods Fluids. Vol. 47. Internat. J. Numer. Methods Fluids. ; 2005. pp. 1307–1313. Available from: https://doi.org/10.1002/fld.859
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