Volume 8, Issue 2
An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation

Catalina Domínguez ,  Ricardo Prato Torres and Heidy González

10.4208/eajam.100317.020318a

East Asian J. Appl. Math., 8 (2018), pp. 365-384.

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  • Abstract

We develop a reliable residual-based a posteriori error estimator for a nonconforming method with non-matching meshes for a harmonic elastodynamics equation and show that the approximation method converges with an optimal order to the exact solution. Moreover, we propose an adaptive strategy to reduce computational cost and derive better approximations for problems with singularities and with large approximating systems. Numerical experiments confirm theoretical conclusions.

  • History

Published online: 2018-05

  • AMS Subject Headings

65N30, 65N55

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