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On the pollution effect of quasi‐compressibility methods in magneto‐hydrodynamics and reactive flows
Author(s) -
Prohl Andreas
Publication year - 1999
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(19991125)22:17<1555::aid-mma93>3.0.co;2-x
Subject(s) - compressibility , mathematics , projection (relational algebra) , work (physics) , magneto , finite element method , projection method , statistical physics , mechanics , mathematical optimization , thermodynamics , physics , algorithm , dykstra's projection algorithm , power (physics)
The study of the asymptotics of quasi‐compressibility methods is an essential tool to construct and improve numerical schemes in hydrodynamics, like e.g., stabilized finite element methods or time‐splitting projection methods. The goal of this work is to illustrate different asymptotical solution behaviour for equations in magneto‐hydrodynamics and those that describe reactive flows for standard quasi‐compressibility methods that influences the design of numerical algorithms. Copyright © 1999 John Wiley & Sons, Ltd.