## Large-scale Optimization-based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies

- J. Chang, Satish Karra, K. B. Nakshatrala
- J. Sci. Comput.
- 2017

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@inproceedings{Liska2007EnforcingTD, title={Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems}, author={Richard Liska and Mikhail J. Shashkov}, year={2007} }

- Published 2007

The maximum principle is a basic qualitative property of the solution of second-order elliptic boundary value problems. The preservation of the qualitative characteristics, such as the maximum principle, in discrete model is one of the key requirements. It is well known that standard linear finite element solution does not satisfy maximum principle on general triangular meshes in 2D. In this paper we consider how to enforce discrete maximum principle for linear finite element solutions for the… CONTINUE READING

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