A posteriori error analysis of a fully-discrete finite element method for the wave equation

作者：Guo, Yuling; Huang, Jianguo^*; Lai, Junjiang

来源：Journal of Computational and Applied Mathematics, 2019, 356: 231-247.

DOI：10.1016/j.cam.2019.02.001

• Fully discrete method
• Wave equations
• A posteriori error estimates
• Reconstruction
• Adaptive algorithm

A fully discrete finite element method is proposed for linear wave equations. The spatial discretization is carried out using P-l conforming element, while the temporal discretization is obtained using P-1-continuous discontinuous Galerkin method. Borrowing a novel time reconstruction operator combined with the technique of elliptic reconstruction, a reliable posteriori error bound is developed. Based on this error bound, two adaptive algorithms in time and space separately are proposed. A series of numerical experiments are reported to illustrate the performance of the error bound and the adaptive algorithms proposed.

• 出版日期2019-8-15
• 单位闽江学院; 上海交通大学