A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

作者：Chen Long^*; Wang Junping; Ye Xiu

来源：Journal of Scientific Computing, 2014, 59(2): 496-511.

DOI：10.1007/s10915-013-9771-3

• Weak Galerkin
• Finite element methods
• Discrete weak gradient
• Secondorder elliptic problems
• A posterior error estimate

A residual type a posteriori error estimator is presented and analyzed for Weak Galerkin finite element methods for second order elliptic problems. The error estimator is proved to be efficient and reliable through two estimates, one from below and the other from above, in terms of an -equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectiveness of adaptive mesh refinement guided by this estimator.

• 出版日期2014-5
• 单位国家自然科学基金委员会