Stress-based convergence analysis for p-adaptive hierarchical finite element analysis

Autor:	H. R. Busby, R. M. Hoffman
Rok vydání:	2000
Předmět:	Applied Mathematics Numerical analysis Linear elasticity General Engineering Estimator Computer Graphics and Computer-Aided Design Finite element method Rate of convergence Norm (mathematics) Statistics Applied mathematics A priori and a posteriori Condition number Analysis Mathematics
Zdroj:	Finite Elements in Analysis and Design. 34:25-35
ISSN:	0168-874X
DOI:	10.1016/s0168-874x(99)00025-6
Popis:	An important step in any finite element analysis is to determine the accuracy of the model used. For linear elastic analyses, accuracy can be measured by the convergence of the solution. Typically error norms based on the strain energy of the system are employed. However, this method of error calculation is ineffective in regions of large stress gradients or concentrated loads. This paper studies the effectiveness of including an a posteriori L 2 error norm to measure the convergence of the stress solution of a hierarchic p -adaptive program. This norm is compared to a strain energy based a priori error measure for two example cases. It is determined that the L 2 stress error norm effectively measures elemental convergence particularly in regions of large stress gradients, and it can be used effectively with the a priori error estimator to determine when a solution has converged within a given tolerance.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8dbb1d4c73184b42a84c0075ed675116 https://doi.org/10.1016/s0168-874x(99)00025-6 Zobrazit plný text záznamu Full Text from ScienceDirect