Construction of convergent adaptive weighted essentially non-oscillatory schemes for Hamilton-Jacobi equations on triangular meshes.

Autor:	Kim, Kwangil
Další autoři:	Hong, Unhyok Ri, Kwanhung Yu, Juhyon
Jazyk:	angličtina
Předmět:	Hamiltonovy rovnice konvergence (ekonomie) Hamilton's equations convergence (economics) články journal articles adaptive scheme weighted essentially non-oscillatory scheme Hamilton-Jacobi equation first order monotone scheme high order scheme
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We propose a method of constructing convergent high order schemes for Hamilton-Jacobi equations on triangular meshes, which is based on combining a high order scheme with a first order monotone scheme. According to this methodology, we construct adaptive schemes of weighted essentially non-oscillatory type on triangular meshes for nonconvex Hamilton-Jacobi equations in which the first order monotone approximations are occasionally applied near singular points of the solution (discontinuities of the derivative) instead of weighted essentially non-oscillatory approximations. Through detailed numerical experiments, the convergence and effectiveness of the proposed adaptive schemes are demonstrated.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink