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Pregled bibliografske jedinice broj: 406896

Časopis

Autori: Limić, Nedžad; Rogina, Mladen
Naslov: Monotone schemes for a class of nonlinear elliptic and parabolic problems
( Monotone schemes for a class of nonlinear elliptic and parabolic problems )
Izvornik: Nonlinear analysis (1468-1218) 11 (2010), 6; 4546-4553
Vrsta rada: članak
Ključne riječi: homogenization; elliptic operator; nonlinear parabolic PDE; divergence form; monotone scheme
( homogenization; elliptic operator; nonlinear parabolic PDE; divergence form; monotone scheme )
Sažetak:
We construct monotone numerical schemes for a class of nonlinear PDE for elliptic and initial value problems for parabolic problems. The elliptic part is closely connected to a linear elliptic operator, which we discretize by monotone schemes, and solve the nonlinear problem by iteration. We assume that the elliptic differential operator is in the divergence form, with measurable coefficients satisfying the strict ellipticity condition, and that the right-hand side is a positive Radon measure. The numerical schemes are not derived from finite difference operators approximating differential operators, but rather from a general principle which ensures the convergence of approximate solutions. The main feature of these schemes is that they possess stencils stretching far from basic grid-rectangles, thus leading to system matrices which are related to M-matrices.
Projekt / tema: 037-1193086-2771
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6W7S-4VGPVK6-2-3&_cdi=6634&_user=3875467&_pii=S1468121809000455&_origin=browse&_coverDate=12%2F31%2F2010&_sk=999889993&view=c&wchp=dGLbVzW-zSkWA&md5=60a9f88c6110d8f3027b367a5f239183&ie=/sdarticle.pdf
http://www.sciencedirect.com/science/article/pii/S1468121809000455
Broj citata:
Altmetric:
DOI: 10.1016/j.nonrwa.2008.09.018
URL cjelovitog teksta:
Google Scholar: Monotone schemes for a class of nonlinear elliptic and parabolic problems
Upisao u CROSBI: rogina@math.hr (rogina@math.hr), 8. Lip. 2009. u 12:00 sati



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