Abstract
Combining the correction technique proposed by Lin and Xie and the shifted inverse iteration, a multilevel correction scheme for the Steklov eigenvalue problem is proposed in this paper. The theoretical analysis and numerical experiments indicate that the scheme proposed in this paper is efficient for both simple and multiple eigenvalues of the Steklov eigenvalue problem.
Highlights
A Multilevel Correction Scheme for the Steklov Eigenvalue ProblemSchool of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China Combining the correction technique proposed by Lin and Xie and the shifted inverse iteration, a multilevel correction scheme for the Steklov eigenvalue problem is proposed in this paper. The theoretical analysis and numerical experiments indicate that the scheme proposed in this paper is efficient for both simple and multiple eigenvalues of the Steklov eigenvalue problem
Steklov eigenvalue problems have important applications in physics and engineering, for instance, in the study of surface waves, in the analysis of stability of mechanical oscillators immersed in a viscous fluid, and in the study of the vibration modes of a structure in contact with an incompressible fluid
Finite element methods for Steklov eigenvalue problems have attracted the attention of mathematics and physics community
Summary
School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China Combining the correction technique proposed by Lin and Xie and the shifted inverse iteration, a multilevel correction scheme for the Steklov eigenvalue problem is proposed in this paper. The theoretical analysis and numerical experiments indicate that the scheme proposed in this paper is efficient for both simple and multiple eigenvalues of the Steklov eigenvalue problem.
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