Details

Autor(en) / Beteiligte

• Guermond, Jean-Luc
• Popov, Bojan

Titel

L^1$-Approximation of Stationary Hamilton–Jacobi Equations

Ist Teil von

• SIAM journal on numerical analysis, 2009-01, Vol.47 (1), p.339-362

Ort / Verlag

Philadelphia: Society for Industrial and Applied Mathematics

Erscheinungsjahr

2009

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We describe a nonlinear finite element technique to approximate the solutions of stationary Hamilton-Jacobi equations in two space dimensions using continuous finite elements of arbitrary degree. The method consists of minimizing a functional containing the $L^1$-norm of the Hamiltonian plus a discrete entropy. It is shown that the approximate sequence converges to the unique viscosity solution under appropriate hypotheses on the Hamiltonian and the mesh family.