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Pregled bibliografske jedinice broj: 380340

Časopis

Autori: Limić, Nedžad; Rogina, Mladen
Naslov: Monotone numerical schemes for a Dirichlet problem for elliptic operators in divergence form
Izvornik: Mathematical methods in the applied sciences (0170-4214) 32 (2009), 9; 1129-1155
Vrsta rada: članak
Ključne riječi: elliptic operator; divergence form; monotone scheme
Sažetak:
We consider a second-order differential operator on a bounded domain D with Dirichlet boundary conditions on D, under mild assumptions on the coefficients of the diffusion tensor aij. The object is to construct monotone numerical schemes to approximate the solution of the problem A(x)u(x)=µ (x), xD, where µ is a positive Radon measure. We start by briefly mentioning questions of existence and uniqueness introducing function spaces needed to prove convergence results. Then, we define non-standard stencils on grid-knots that lead to extended discretization schemes by matrices possessing compartmental structure. We proceed to discretization of elliptic operators, starting with constant diffusion tensor and ending with operators in divergence form. Finally, we discuss W-convergence in detail, and mention convergence in C and L1 spaces. We conclude by a numerical example illustrating the schemes and convergence results.
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://www3.interscience.wiley.com/user/accessdenied?ID=121388038&Act=2138&Code=4719&Page=/cgi-bin/fulltext/121388038/PDFSTART
Broj citata:
Altmetric:
DOI: 10.1002/mma.1083
URL cjelovitog teksta:
Google Scholar: Monotone numerical schemes for a Dirichlet problem for elliptic operators in divergence form
Upisao u CROSBI: rogina@math.hr (rogina@math.hr), 29. Sij. 2009. u 14:46 sati



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