Fetching the paper…
Reading the bibliography…
The conditioning of implicit Runge-Kutta (RK) integration for linear finite element approximation of diffusion equations on general anisotropic meshes is investigated.
1908
Earlier work this paper cites.
1911
Earlier work this paper cites.
M. Ainsworth, W. McLean, T. Tran, The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling, SIAM J. Numer. Anal. 36 (6) (1999) 1901–1932
1932
Earlier work this paper cites.
G. J. Fix, Eigenvalue approximation by the finite element method, Advances in Math. 10 (1973) 300–316
1973
Earlier work this paper cites.
I. Fried, Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices, Internat. J. Solids and Structures 9 (1973) 1013–1034
1973
Earlier work this paper cites.
J. C. Butcher, On the implementation of implicit Runge-Kutta methods, Nordisk Tidskr. Informationsbehandling (BIT) 16 (3) (1976) 237–240
1976
Earlier work this paper cites.
T. A. Bickart, An efficient solution process for implicit Runge-Kutta methods, SIAM J. Numer. Anal. 14 (6) (1977) 1022–1027
1977
Earlier work this paper cites.
S. C. Eisenstat, H. C. Elman, M. H. Schultz, Variational iterative methods for nonsymmetric systems of linear equations, SIAM J. Numer. Anal. 20 (2) (1983) 345–357
1983
Earlier work this paper cites.
R. E. Bank, L. R. Scott, On the conditioning of finite element equations with highly refined meshes, SIAM J. Numer. Anal. 26 (6) (1989) 1383–1394
1989
Cited alongside, same era.
E. Hairer, G. Wanner, Solving ordinary differential equations. II, 2nd Edition, vol. 14 of Springer Series in Computational Mathematics, Springer-Verlag, Berlin, 1996
1996
Cited alongside, same era.
N. J. Higham, Accuracy and stability of numerical algorithms, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1996
1996
Cited alongside, same era.
J. R. Shewchuk, What is a good linear element? Interpolation, conditioning, and quality measures, in: Proceedings of the 11th International Meshing Roundtable (2002) 115–126, Sandia National Laboratories
2002
Cited alongside, same era.
A. J. Laub, Matrix analysis for scientists & engineers, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2005
W. Huang, Mathematical principles of anisotropic mesh adaptation, Commun. Comput. Phys. 1 (2) (2006) 276–310
2006
Later among the works it cites.
Q. Du, D. Wang, L. Zhu, On mesh geometry and stiffness matrix conditioning for general finite element spaces, SIAM J. Numer. Anal. 47 (2) (2009) 1421–1444
2009
Later among the works it cites.
L. Zhu, Q. Du, Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping, J. Comput. Appl. Math. 236 (5) (2011) 801–811
2011
Later among the works it cites.
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2005
Cited alongside, same era.
I. G. Graham, W. McLean, Anisotropic mesh refinement: the conditioning of Galerkin boundary element matrices and simple preconditioners, SIAM J. Numer. Anal. 44 (4) (2006) 1487–1513
2006
Cited alongside, same era.
F. Hecht, BAMG: Bidimensional Anisotropic Mesh Generator (2006). URL https://www.ljll.math.upmc.fr/hecht/ftp/bamg
2006
Cited alongside, same era.
2014
Later among the works it cites.
2014
Later among the works it cites.