Adaptive mixed least squares Galerkin/Petrov finite element method for stationary conduction convection problems |
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| Authors: | Yun-zhang Zhang Yan-ren Hou Hong-bo Wei |
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| Institution: | 1. School of Science, Xi＇an Jiaotong University, Xi＇an 710049, P. R. China; 2. School of Mathematics and Statistics, Henan University of Science and Technology Luoyang 471003, Henan Province, P. R. China) |
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| Abstract: | An adaptive mixed least squares Galerkin/Petrov finite element method (FEM) is developed for stationary conduction convection problems. The mixed least squares Galerkin/Petrov FEM is consistent and stable for any combination of discrete velocity and pressure spaces without requiring the Babuska-Brezzi stability condition. Using the general theory of Verfürth, the posteriori error estimates of the residual type are derived. Finally, numerical tests are presented to illustrate the effectiveness of the method. |
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| Keywords: | conduction convection problem posteriori error analysis mixed finite element adaptive finite element least squares Galerkin/Petrov method |
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