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A numerical algorithm for nonlinear parabolic equations with highly oscillating coefficients
Author(s) -
Svanstedt Nils,
Wellander Niklas,
Wyller John
Publication year - 1996
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/(sici)1098-2426(199607)12:4<423::aid-num2>3.0.co;2-o
Subject(s) - mathematics , homogenization (climate) , monotone polygon , nonlinear system , parabolic partial differential equation , mathematical analysis , class (philosophy) , monotonic function , partial differential equation , geometry , computer science , physics , biodiversity , ecology , quantum mechanics , artificial intelligence , biology
A numerical algorithm is constructed for the solution to a class of nonlinear parabolic operators in the case of homogenization. We consider parabolic operators of the form d/dt + A ϵ , where A ϵ is monotone. More precisely, we consider the case when A ϵ u =−div ( a ( x /ϵ, e /ϵ k ) | Du | p−2 Du ), where p ≥2 and k >0. © 1996 John Wiley & Sons, Inc.