Virtual element method for second-order elliptic eigenvalue problems

被引：51

作者：

Gardini, Francesca ^{[1
]}

Vacca, Giuseppe ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 5, I-27100 Pavia, Italy

[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, Via Roberto Cozzi 55, I-20125 Milan, Italy

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 2018年 / 38卷 / 04期

基金：

欧洲研究理事会;

关键词：

virtual element method; eigenvalue problems; polyhedral meshes; FRACTURE NETWORK SIMULATIONS; LINEAR ELASTICITY PROBLEMS; POLYGONAL MESHES; SPECTRAL APPROXIMATION; POLYHEDRAL MESHES;

D O I：

10.1093/imanum/drx063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the virtual element approximation of elliptic eigenvalue problems. The main result of the article states that the virtual element method provides an optimal-order approximation of the eigenmodes. A wide set of numerical tests confirm the theoretical analysis.

引用

页码：2026 / 2054

页数：29

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