L1-minimization methods for Hamilton–Jacobi equations: the one-dimensional case Academic Article

abstract

• A new approximation technique based on L 1-minimization is introduced. It is proven that the approximate solution converges to the viscosity solution in the case of one-dimensional stationary Hamilton-Jacobi equation with convex Hamiltonian. © 2008 Springer-Verlag.

authors

• Popov, Bojan

author list (cited authors)

• Guermond, J., & Popov, B.

citation count

• 4

publication date

• February 2008

publisher

• Springer Science and Business Media LLC  Publisher

published in

• Numerische Mathematik  Journal

Digital Object Identifier (DOI)

• 10.1007/s00211-008-0142-1

start page

• 269

end page

• 284

volume

• 109

issue

• 2