Abstract
In this chapter we study an object-oriented implementation of procedures for field recovery and recovery-based error estimation. The field recovery is based on the superconvergent patch recovery technique by Zienkiewicz and Zhu. The core of the current implementation is problem independent, and is organized as a set of C++ classes based on the software library Diffpack. The use of the developed program module is demonstrated on an isotropic linear elasticity problem and on a stationary Navier¡ªStokes problem. For both example problems, analytical solutions are available. The exact error may therefore be computed in addition to the estimated error, enabling us to study the effectivity of the estimator. The computational efficiency of the object-oriented program module is assessed by comparing the time consumption with a similar program implemented in FORTRAN.
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Okstad, K.M., Kvamsdal, T. (2000). Object-Oriented Field Recovery and Error Estimation in Finite Element Methods. In: Langtangen, H.P., Bruaset, A.M., Quak, E. (eds) Advances in Software Tools for Scientific Computing. Lecture Notes in Computational Science and Engineering, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57172-5_9
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DOI: https://doi.org/10.1007/978-3-642-57172-5_9
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