We present a superconvergent and highly efficient multiscale finite element scheme for solving the Helmholtz equation in heterogeneous media. The proposed scheme is specifically designed to address the challenges posed by the multiscale nature of the Helmholtz equation, which often leads to high computational costs and numerical instabilities in traditional methods. By constructing tailored multiscale basis functions, the proposed approach effectively captures both the local fine-scale features and global macroscale behaviors of the multiscale solution. The fundamental mechanism underlying the multiscale scheme is systematically expounded. Through rigorous error analyses, we derive a second-order superconvergence result in the
Publications
- Article type
- Year
Article type
Year
Open Access
Research Article
Issue
Networks and Heterogeneous Media 2026, 21(2): 531-550
Published: 15 June 2026
Downloads:5
Total 1
京公网安备11010802044758号