A regularization‐stabilization technique for nonlinear conservation equation computations | Zendy

Carey G. F. | Zendy; Jiang B. N. | Zendy; Showalter R. | Zendy

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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.

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