A functional-type a posteriori error estimate of approximate solutions for Reissner-Mindlin plates and its implementation

Winter School on Continuous Media Mechanics

Frolov, Maxim^1 ; Chistiakova, Olga^1

Department of Applied Mathematics, Institute of Applied Mathematics and Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya st. 29, St.Petersburg

195251, Russia^1

关键词: A-posteriori error estimates;    Approximate solution;    Commercial software;    Functional approach;    Functional types;    Majorant;    Mesh refinement;    Reliable control;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012043/pdf
DOI  :  10.1088/1757-899X/208/1/012043

来源: IOP

【 摘 要 】

Paper is devoted to a numerical justification of the recent a posteriori error estimate for Reissner-Mindlin plates. This majorant provides a reliable control of accuracy of any conforming approximate solution of the problem including solutions obtained with commercial software for mechanical engineering. The estimate is developed on the basis of the functional approach and is applicable to several types of boundary conditions. To verify the approach, numerical examples with mesh refinements are provided.