TY - JOUR
T1 - A Type of Finite Element Gradient Recovery Method Based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property
AU - Qun Lin & Hehu Xie
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 248
EP - 263
PY - 2018
DA - 2018/02
SN - 1
DO - http://doi.org/10.4208/eajam.251210.250411a
UR - https://global-sci.org/intro/article_detail/eajam/10907.html
KW - Finite element method, least-squares fitting, vertex-edge-face interpolation, superconvergence, a posteriori error estimate.
AB - <p style="text-align: justify;">In this paper, a new type of gradient recovery method based on vertex-edge-face
interpolation is introduced and analyzed. This method gives a new way to recover
gradient approximations and has the same simplicity, efficiency, and superconvergence
properties as those of superconvergence patch recovery method and polynomial preserving
recovery method. Here, we introduce the recovery technique and analyze its
superconvergence properties. We also show a simple application in the a posteriori
error estimates. Some numerical examples illustrate the effectiveness of this recovery
method.</p>