An a posteriori error estimator for a non-conforming domain decomposition method for a harmonic elastodynamics equation
Universidad Tecnológica de Bolívar
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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. © 2018 Global-Science Press.
This research work was supported by Colciencias (Departamento Administrativo de Ciencia, Tecnología e Innovación de Colombia) under the project 121565842348 (Contract No. 048-2015). We thank the anonymous reviewers for careful reading of the manuscript and their encouraging comments and suggestions.
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