caa a22 4500 467939446 CHVBK 20180406153007.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10444-004-7617-0 doi (NATIONALLICENCE)springer-10.1007/s10444-004-7617-0 Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates [Elektronische Daten] [Dong Mao, Lihua Shen, Aihui Zhou] The local averaging technique has become a popular tool in adaptive finite element methods for solving partial differential boundary value problems since it provides efficient a posteriori error estimates by a simple postprocessing. In this paper, the technique is introduced to solve a class of symmetric eigenvalue problems. Its efficiency and reliability are proved by both the theory and numerical experiments structured meshes as well as irregular meshes. Springer, 2006 a posteriori error estimate nationallicence adaptive algorithm nationallicence eigenvalue nationallicence finite element nationallicence local averaging nationallicence Mao Dong Department of Mathematics, Syracuse University, 215 Carmegie Hall, 13244-1150, Syracuse, NY, USA aut Shen Lihua Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, 100080, Beijing, China aut Zhou Aihui Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, 100080, Beijing, China aut Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 135-160 1019-7168 25:1-3<135 2006 25 10444 https://doi.org/10.1007/s10444-004-7617-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10444-004-7617-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mao Dong Department of Mathematics, Syracuse University, 215 Carmegie Hall, 13244-1150, Syracuse, NY, USA aut NATIONALLICENCE 700 1- Shen Lihua Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, 100080, Beijing, China aut NATIONALLICENCE 700 1- Zhou Aihui Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, 100080, Beijing, China aut NATIONALLICENCE 773 0- Advances in Computational Mathematics Kluwer Academic Publishers 25/1-3(2006-07-01), 135-160 1019-7168 25:1-3<135 2006 25 10444 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer