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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 & Heidy González

DOI: 10.4208/eajam.100317.020318a

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

Published online: 2018-05

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  • 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.

  • Keywords

Harmonic elastodynamics equation, domain decomposition method, Nitsche method, non-matching mesh, a posteriori error estimator, adaptive method.

  • AMS Subject Headings

65N30, 65N55

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-8-365, author = {Catalina Domínguez, Ricardo Prato Torres and Heidy González}, title = {An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {8}, number = {2}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.100317.020318a}, url = {http://global-sci.org/intro/article_detail/eajam/12211.html} }
TY - JOUR T1 - An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation AU - Catalina Domínguez, Ricardo Prato Torres & Heidy González JO - East Asian Journal on Applied Mathematics VL - 2 SP - 365 EP - 384 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/eajam.100317.020318a UR - https://global-sci.org/intro/article_detail/eajam/12211.html KW - Harmonic elastodynamics equation, domain decomposition method, Nitsche method, non-matching mesh, a posteriori error estimator, adaptive method. AB -

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.

Catalina Domínguez, Ricardo Prato Torres and Heidy González. (2018). An a Posteriori Error Estimator for a Non-Conforming Domain Decomposition Method for a Harmonic Elastodynamics Equation. East Asian Journal on Applied Mathematics. 8 (2). 365-384. doi:10.4208/eajam.100317.020318a
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