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A regularization‐stabilization technique for nonlinear conservation equation computations
Author(s) -
Carey G. F.,
Jiang B. N.,
Showalter R.
Publication year - 1988
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690040302
Subject(s) - regularization (linguistics) , mathematics , computation , nonlinear system , finite element method , dissipation , numerical analysis , conservation law , mathematical analysis , algorithm , computer science , physics , quantum mechanics , artificial intelligence , thermodynamics
A regularization procedure for nonlinear conservation equations is introduced and demonstrated to have a stabilizing effect on the numerical solution of the associated approximate problem. Representative results for a least‐squares finite‐element method are given, and the numerical performance of the stabilization procedure explored. The effect of the regularization term is similar to a local numerical dissipation dependent on the numerical itegration time step.