Some Remarks on Eigenvalue Approximation by Finite Elements

被引：7
作者：
Boffi, Daniele [1 ]
Gardini, Francesca [1 ]
Gastaldi, Lucia [2 ]
机构：
[1] Univ Pavia, Dipartmento Matemat, Via Ferrata 1, I-27100 Pavia, Italy
[2] Univ Brescia, Dipartimento Matemat, I-25133 Brescia, Italy
来源：
FRONTIERS IN NUMERICAL ANALYSIS - DURHAM 2010 | 2012年 / 85卷
关键词：
FLUID-SOLID SYSTEMS; A-POSTERIORI; VIBRATION ANALYSIS; ERROR ESTIMATORS; MESH-REFINEMENT; FORMULATIONS; CONVERGENCE; ALGORITHMS;
D O I：
10.1007/978-3-642-23914-4_1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The aim of this paper is to supplement the results of Boffi (Acta Numer. 19:1-120, 2010) with some additional remarks. In particular we deal with three distinct topics: we review some tutorial examples in one dimension and provide numerical codes for them; we analyze the case of multiple eigenvalues and show some numerical; we review a posteriori error analysis for eigenvalue problems.
引用
收藏
页码：1 / 77
页数：77
相关论文
共 74 条
[1]  
Ainsworth M., 2000, PURE APPL MATH NEW Y
[2]   A posteriori error estimates in finite element acoustic analysis [J].
Alonso, A ;
Dello Russo, A ;
Vampa, V .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 117 (02) :105-119
[3]   An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids [J].
Alonso, Ana ;
Dello Russo, Anahí ;
Otero-Souto, César ;
Padra, Claudio ;
Rodríguez, Rodolfo .
Computing and Visualization in Science, 2001, 4 (02) :67-78
[4]   A posteriori error estimates in finite element solution of structure vibration problems with applications to acoustical fluid-structure analysis [J].
Alonso, A ;
Dello Russo, A ;
Vampa, V .
COMPUTATIONAL MECHANICS, 1999, 23 (03) :231-239
[5]   A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems [J].
Alonso, A ;
Dello Russo, A ;
Padra, C ;
Rodríguez, R .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2001, 15 (1-4) :25-59
[6]   Error estimators for a mixed method [J].
Alonso, A .
NUMERISCHE MATHEMATIK, 1996, 74 (04) :385-395
[7]  
Amrouche C, 1998, MATH METHOD APPL SCI, V21, P823, DOI 10.1002/(SICI)1099-1476(199806)21:9<823::AID-MMA976>3.0.CO
[8]  
2-B
[9]  
[Anonymous], 1998, Pltmg: A Software Package for Solving Elliptic Partial Differential Equations: Users' Guide 8.0
[10]  
[Anonymous], 2002, East-West J. Numer. Math
12345678