An a posteriori error estimator for a non-conforming domain decomposition method for a harmonic elastodynamics equation
Fecha
2018Registro en:
East Asian Journal on Applied Mathematics; Vol. 8, Núm. 2; pp. 365-384
20797362
10.4208/eajam.100317.020318a
Universidad Tecnológica de Bolívar
Repositorio UTB
45860981700
57212114514
57212113860
Autor
Domínguez C.
Torres R.
González H.
Resumen
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.