کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
498286 | 862984 | 2012 | 11 صفحه PDF | دانلود رایگان |
This paper establishes the superconvergence and the related recovery type a posteriori error estimators based on projection method for finite element approximation of the elliptic eigenvalue problems. The projection method is a postprocessing procedure that constructs a new approximation by using the least squares method. The results are based on some regularity assumption for the elliptic problem, and are applicable to the finite element approximations of self-adjoint elliptic eigenvalue problems with general quasi-regular partitions. Therefore, the result of this paper can be employed to provide useful a posteriori error estimators in adaptive finite element computation under unstructured meshes.
► We enhance finite element approximation for eigenvalue problems by projection method.
► The results are based on some regularity assumption for the elliptic problem.
► Our results are applicable to elliptic eigenvalue problems with quasi-regular partitions.
► The results can be employed to provide useful a posteriori error estimators.
► Some numerical examples are reported to support our theory.
Journal: Computer Methods in Applied Mechanics and Engineering - Volumes 233–236, 1 August 2012, Pages 81–91