Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids

@article{Nagarajan2010EnforcingNC,
  title={Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids},
  author={Harsha Nagarajan and K. B. Nakshatrala},
  journal={CoRR},
  year={2010},
  volume={abs/1003.5257}
}
Abstract. In this paper, we consider anisotropic diffusion with decay, which takes the form α(x)c(x) − div[D(x)grad[c(x)]] = f(x) with decay coefficient α(x) ≥ 0, and diffusivity coefficient D(x) to be a second-order symmetric and positive definite tensor. It is well-known that this particular equation is a second-order elliptic equation, and satisfies a maximum principle under certain regularity assumptions. However, the finite element implementation of the classical Galerkin formulation for… CONTINUE READING
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Numerical Mathematics

  • A. Quarteroni, R. Sacco, F. Saleri
  • Springer-Verlag, New York, USA
  • 2006
Highly Influential
7 Excerpts

Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes

  • C. Le Potier
  • Comptes Rendus Mathematique, 341:787–792
  • 2005
Highly Influential
12 Excerpts

Maximum Principles in Differential Equations

  • M. H. Protter, H. F. Weinberger
  • Springer-Verlag, New York, USA
  • 1999
Highly Influential
13 Excerpts

Maximum principles for linear

  • N. S. Trudinger
  • non-uniformly elliptic operators with measurable…
  • 1977
Highly Influential
12 Excerpts

Maximum principle and uniform convergence for the finite element method

  • P. G. Ciarlet, P-A. Raviart
  • Computer Methods in Applied Methods and…
  • 1973
Highly Influential
14 Excerpts

Matrix Iterative Analysis

  • R. Varga
  • Prentice-Hall, New Jersey, USA
  • 1962
Highly Influential
7 Excerpts

Linear and Nonlinear Programming

  • D. G. Luenberger, Y. Ye
  • Springer Science+Business Media, Inc., New York…
  • 2008
Highly Influential
6 Excerpts

Convex Optimization

  • S. Boyd, L. Vandenberghe
  • Cambridge University Press, Cambridge, UK
  • 2004
Highly Influential
5 Excerpts

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