Geodesic
A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems
Applications of Mathematics, Tome 62 (2017) no. 3, pp. 243-267.

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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.
DOI : 10.21136/AM.2017.0115-16
Classification : 35J25, 65N15, 65N25, 65N30
Keywords: discontinuous Galerkin method; Steklov eigenvalue problem; a posteriori error estimate 
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     title = {A posteriori error estimates for a discontinuous {Galerkin} approximation of {Steklov} eigenvalue problems},
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Zeng, Yuping; Wang, Feng. A posteriori error estimates for a discontinuous Galerkin approximation of Steklov eigenvalue problems. Applications of Mathematics, Tome 62 (2017) no. 3, pp. 243-267. doi : 10.21136/AM.2017.0115-16. http://geodesic.mathdoc.fr/articles/10.21136/AM.2017.0115-16/

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