An H1-Galerkin method for a Stefan problem with a quasilinear parabolic equation in non-divergence form

Abstract

Optimal error estimates in L2, H1 and H2-norm are established for a single phase Stefan problem with quasilinear parabolic equation in non-divergence form by an H1-Galerkin procedure.

Keywords

• H1-Galerkin procedure
• finite element approximation
• nonlinear Stefan problem
• non-divergence form
• error analysis.