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Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes.
Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matrices
I. Fried · 1973
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Realistic eigenvalue bounds for the Galerkin mass matrix
A. J. Wathen · 1987
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On the conditioning of finite element equations with highly refined meshes
R. E. Bank and L. R. Scott · 1989
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Accuracy and Stability of Numerical Algorithms
N. J. Higham · 1996
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Coefficient adaptive triangulation for strongly anisotroic problems
E. F. D’Azevedo, C. H. Romine, and J. M. Donato · 1997
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Anisotropic Finite Elements: Local Estimates and Applications
T. Apel · 1999
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Elliptic Partial Differential Equations of Second Order
D. Gilbarg and N. S. Trudinger · 2001
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What is a good linear finite element? Interpolation, conditioning, anisotropy, and quality measures
J. R. Shewchuk · 2002
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Theory and Practice of Finite Elements
A. Ern and J.-L. Guermond · 2004
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Measuring mesh qualities and application to variational mesh adaptation
W. Huang · 2005
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Metric tensors for anisotropic mesh generation
W. Huang · 2005
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BAMG: Bidimensional Anisotropic Mesh Generator
F. Hecht · 2006
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Mathematical principles of anisotropic mesh adaptation
W. Huang · 2006
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The Mathematical Theory of Finite Element Methods
S. C. Brenner and R. Scott · 2008
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On mesh geometry and stiffness matrix conditioning for general finite element spaces
Q. Du, D. Wang, and L. Zhu · 2009
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A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates
W. Huang, L. Kamenski, and J. Lang · 2010
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An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems
X. Li and W. Huang · 2010
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Adaptive Moving Mesh Methods
W. Huang and R. D. Russell · 2011
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A study on using hierarchical basis error estimates in anisotropic mesh adaptation for the finite element method
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L. Kamenski · 2011
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