We investigate the application of weighted essentially nonoscillatory (WENO) reconstructions to a class of semi-Lagrangian schemes for first order time-dependent Hamilton-Jacobi equations. In particular, we derive a general form of the scheme, study sufficient conditions for its convergence with high-order reconstructions, and perform numerical tests to study its efficiency. In addition, we prove that the weights of the WENO interpolants are positive for any order.
A weighted essentially nonoscillatory, large time-step scheme for Hamilton-Jacobi equations / Carlini, Elisabetta; R., Ferretti; G., Russo. - In: SIAM JOURNAL ON SCIENTIFIC COMPUTING. - ISSN 1064-8275. - 27:(2005), pp. 1071-1091. [10.1137/040608787]
A weighted essentially nonoscillatory, large time-step scheme for Hamilton-Jacobi equations
CARLINI, Elisabetta;
2005
Abstract
We investigate the application of weighted essentially nonoscillatory (WENO) reconstructions to a class of semi-Lagrangian schemes for first order time-dependent Hamilton-Jacobi equations. In particular, we derive a general form of the scheme, study sufficient conditions for its convergence with high-order reconstructions, and perform numerical tests to study its efficiency. In addition, we prove that the weights of the WENO interpolants are positive for any order.| File | Dimensione | Formato | |
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