We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.
Homogenization of Hamilton-Jacobi equations: Numerical Methods / Camilli, Fabio; CAPUZZO DOLCETTA, Italo; Y., Achdou. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - (18) no. 7:(2008), pp. 1115-1143. [10.1142/S0218202508002978]
Homogenization of Hamilton-Jacobi equations: Numerical Methods
CAMILLI, FABIO;CAPUZZO DOLCETTA, Italo;
2008
Abstract
We study approximation strategies for the limit problem arising in the homogenization of Hamilton-Jacobi equations. They involve first an approximation of the effective Hamiltonian then a discretization of the Hamilton-Jacobi equation with the approximate effective Hamiltonian. We give a global error estimate which takes into account all the parameters involved in the approximation.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
