Applications of Mathematics, Vol. 62, No. 3, pp. 243-267, 2017
A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems
Yuping Zeng, Feng Wang
Received April 12, 2016. First published April 30, 2017.
Abstract: We derive a residual-based a posteriori error estimator for a discontinuous Galerkin approximation of the Steklov eigenvalue problem. Moreover, we prove the reliability and efficiency of the error estimator. Numerical results are provided to verify our theoretical findings.