Guaranteed eigenvalue bounds for the Steklov eigenvalue problem

C You, H Xie, X Liu - SIAM Journal on Numerical Analysis, 2019 - SIAM
To provide mathematically rigorous eigenvalue bounds for the Steklov eigenvalue problem,
an enhanced version of the eigenvalue estimation algorithm developed by the third author is …

Local and parallel finite element algorithms for the Steklov eigenvalue problem

H Bi, Z Li, Y Yang - Numerical Methods for Partial Differential …, 2016 - Wiley Online Library
Based on the work of Xu and Zhou [Math Comput 69 (2000) 881–909], we propose and
analyze in this article local and parallel finite element algorithms for the Steklov eigenvalue …

The effect of reduced integration in the Steklov eigenvalue problem

MG Armentano - ESAIM: Mathematical Modelling and Numerical …, 2004 - cambridge.org
In this paper we analyze the effect of introducing a numerical integration in the piecewise
linear finite element approximation of the Steklov eigenvalue problem. We obtain optimal …

Nonconforming finite element approximations of the Steklov eigenvalue problem

Y Yang, Q Li, S Li - Applied Numerical Mathematics, 2009 - Elsevier
This paper deals with nonconforming finite element approximations of the Steklov
eigenvalue problem. For a class of nonconforming finite elements, it is shown that the j-th …

A posteriori error estimates for the Steklov eigenvalue problem

MG Armentano, C Padra - Applied Numerical Mathematics, 2008 - Elsevier
In this paper we introduce and analyze an a posteriori error estimator for the linear finite
element approximations of the Steklov eigenvalue problem. We define an error estimator of …

A virtual element method for a biharmonic Steklov eigenvalue problem

G Monzón - Advances in Pure and Applied Mathematics, 2019 - degruyter.com
A virtual element method for a biharmonic Steklov eigenvalue problem Skip to content Should
you have institutional access? Here's how to get it ... De Gruyter € EUR - Euro £ GBP - Pound …

Verified eigenvalue evaluation for the Laplacian over polygonal domains of arbitrary shape

X Liu, S Oishi - SIAM Journal on Numerical Analysis, 2013 - SIAM
The finite element method (FEM) is applied to bound leading eigenvalues of the Laplace
operator over polygonal domains. Compared with classical numerical methods, most of …

Asymptotic correction of more Sturm–Liouville eigenvalue estimates

AL Andrew - BIT Numerical Mathematics, 2003 - Springer
The asymptotic correction technique of Paine, de Hoog and Anderssen can dramatically
improve the accuracy of finite difference or finite element eigenvalues at negligible extra cost …

Local a priori/a posteriori error estimates of conforming finite elements approximation for Steklov eigenvalue problems

YD Yang, H Bi - Science China Mathematics, 2014 - Springer
Based on the work of Xu and Zhou (2000), this paper makes a further discussion on
conforming finite elements approximation for Steklov eigenvalue problems, and proves a …

Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations

Q Li, Q Lin, H Xie - Applications of Mathematics, 2013 - Springer
The paper deals with error estimates and lower bound approximations of the Steklov
eigenvalue problems on convex or concave domains by nonconforming finite element …