On the Numerical Treatment of Quasiminimal Surfaces

Abstract Let μ denote a quasiminimal surface (QMS) bounded by a polygon Γ ∈ R q(q ≥ 2) with N + 3 distinct vertices in the sense of Shiffman. A linear finite element method is presented for the approximation of μ. Furthermore, an error estimation in terms of the angles at the vertices of Γ and some examples of computed quasiminimal surfaces are given.