On the buckling eigenvalue problem

被引：8

作者：

Antunes, Pedro R. S. ^{[1
,2
]}

机构：

[1] Univ Lusofona Humanidades & Tecnol, Dept Matemat, P-1749024 Lisbon, Portugal

[2] Univ Lisbon, Grp Math Phys, P-1649003 Lisbon, Portugal

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2011年 / 44卷 / 21期

关键词：

BOUNDS; INEQUALITIES; MINIMIZATION; EIGENMODES; MEMBRANES; PROOF;

D O I：

10.1088/1751-8113/44/21/215205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove a density result which allows us to justify the application of the method of fundamental solutions to solve the buckling eigenvalue problem of a plate. We address an example of an analytic convex domain for which the first eigenfunction does change the sign and present a large-scale numerical study with polygons providing numerical evidence to some new conjectures.

引用

页数：13

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