An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation
Year: 2018
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 365–384
Abstract
We develop a reliable residual-based a posteriori error estimator for a non-conforming 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.100317.020318a
East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 365–384
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Harmonic elastodynamics equation domain decomposition method Nitsche method non-matching mesh a posteriori error estimator adaptive method.