Higher-order finite element methods

Higher-order finite element methods and pointwise error estimates for elliptic problems on surfaces

FREE-DOWNLOAD [PDF] A Demlow – SIAM J. Numer. Anal, 2009
Abstract. We define higher-order analogs to the piecewise linear surface finite element method
studied in [Dz88] and prove error estimates in both pointwise and L2-based norms. Using the
Laplace-Beltrami problem on an implicitly defined surface G as a model PDE, we define