TY - JOUR
T1 - An Edge-Based Anisotropic Mesh Refinement Algorithm and Its Application to Interface Problems
AU - Duan Wang, Ruo Li & Ningning Yan
JO - Communications in Computational Physics
VL - 3
SP - 511
EP - 540
PY - 2010
DA - 2010/08
SN - 8
DO - http://doi.org/10.4208/cicp.210709.121109a
UR - https://global-sci.org/intro/article_detail/cicp/7583.html
KW - 
AB - <p style="text-align: justify;">Based on an error estimate in terms of element edge vectors on arbitrary
unstructured simplex meshes, we propose a new edge-based anisotropic mesh refinement
algorithm. As the mesh adaptation indicator, the error estimate involves only the
gradient of error rather than higher order derivatives. The preferred refinement edge
is chosen to reduce the maximal term in the error estimate. The algorithm is implemented
in both two- and three-dimensional cases, and applied to the singular function
interpolation and the elliptic interface problem. The numerical results demonstrate
that the convergence order obtained by using the proposed anisotropic mesh refinement
algorithm can be higher than that given by the isotropic one.</p>