An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations
The authors construct a sequence of approximate solutions to some one-dimensional stationary Hamilton-Jacobi equations by using continuous finite elements and by minimizing the residual in the Lebesgue space with \(p=1\). For a class of convex Hamiltonians, they prove the convergence of the proposed algorithm. Some numerical examples are carried out.
scientific article; zbMATH DE number 5568582