Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations

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I. G. Graham and W. McLean, Anisotropic mesh refinement: the conditioning of Galerkin boundary element matrices and simple preconditioners , SIAM J. Numer. Anal., 44 (2006), pp. 1487–1513, https://doi.org/10.1137/040621247

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Q. Du, D. Wang, and L. Zhu, On mesh geometry and stiffness matrix conditioning for general finite element spaces , SIAM J. Numer. Anal., 47 (2009), pp. 1421–1444, https://doi.org/10.1137/080718486

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L. Zhu and Q. Du, Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping , J. Comput. Appl. Math., 236 (2011), pp. 801–811, https://doi.org/10.1016/j.cam.2011.05.030

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Cited alongside, same era.

L. Zhu and Q. Du, Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems , Math. Comp., 83 (2014), pp. 37–64, https://doi.org/10.1090/S0025-5718-2013-02703-2

Original

2013

Cited alongside, same era.

L. Kamenski, W. Huang, and H. Xu, Conditioning of finite element equations with arbitrary anisotropic meshes , Math. Comp., 83 (2014), pp. 2187–2211, https://doi.org/10.1090/S0025-5718-2014-02822-6 , https://arxiv.org/abs/1201.3651

Original

2014

Later among the works it cites.

W. Huang, L. Kamenski, and J. Lang, Stability of explicit time integration schemes for finite element approximation of linear parabolic equations on anisotropic meshes , WIAS Preprint No. 1869 (2013). Appeared in SIAM J. Numer. Anal., 54 (2016), pp. 1612–1634, as Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes , https://doi.org/10.1137/130949531 , https://arxiv.org/abs/1602.08055

Original

2016

Later among the works it cites.