We discretize a tangential tensor field equation using a surface-finite element approach with a penalization term to ensure almost tangentiality. It is natural to measure the quality of such a discretization intrinsically, i.e., to examine the tangential convergence behavior in contrast to the normal behavior. We show optimal order convergence with respect to the tangential quantities in particular for an isogeometric penalization term that is based only on the geometric information of the discrete surface.

翻译：我们使用表面- 无限元素法和惩罚性术语将相近的强点场方程式分解,以确保几乎相近性。我们自然会测量这种分解内在的质量,即对照正常行为来检查相近的趋同行为。我们显示,在仅以离散表面的几何信息为依据的等离异性计量惩罚术语中,特别是相近性数量方面,最优化的顺序趋同。