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Title of Journal: J Sci Comput

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Abbravation: Journal of Scientific Computing

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Springer US

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DOI

10.1002/nadc.20050531238

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1573-7691

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The Effect of the Consistent Mass Matrix on the Ma

Authors: JeanLuc Guermond Bojan Popov Yong Yang
Publish Date: 2016/09/17
Volume: 70, Issue: 3, Pages: 1358-1366
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Abstract

In this paper we study the effect of the use of the consistent mass matrix when solving scalar nonlinear conservation equations It is shown that a continuous finite element method based on artificial viscosity in space and explicit time stepping using the consistent mass matrix cannot satisfy the maximum principleThis material is based upon work supported in part by the National Science Foundation Grants DMS1217262 by the Air Force Office of Scientific Research USAF under Grant/Contract Number FA95501510257 and by the Army Research Office under Grant/Contract Number W911NF1510517 Draft version September 7 2016

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  12. A Posteriori Estimates for a Natural Neumann–Neumann Domain Decomposition Algorithm on a Unilateral Contact Problem
  13. Solving 1D Conservation Laws Using Pontryagin’s Minimum Principle
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