Mathematics Colloquium - Jiguang Sun

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Date: April 18, 2022
Time: 2:45 p.m. - 3:45 p.m.
Location: Faculty/Administration # 1140 | Map
Category: Lecture

Speaker: Jiguang Sun (Michigan Technological University)

Webpage: https://www.mtu.edu/math/department/faculty-staff/faculty/sun-jiguang/

Title: Finite Element/Holomorphic Operator-Value Function Approach for Nonlinear Eigenvalue Problems

Abstract: We propose a new approach combining the holomorphic operator value function and finite elements for some nonlinear eigenvalue problems. The eigenvalue problem is formulated as the eigenvalue problem of a holomorphic Fredholm operator function of index zero. Finite element methods are used for discretization. The convergence of eigenvalues/eigenvectors is proved using the abstract approximation theory for holomorphic operator functions. Then the spectral indicator method is extended to compute the eigenvalues. The proposed approach is employed to compute the band structures of photonic crystals.

Contact

Department of Mathematics
313-577-2479
math@wayne.edu

Cost

Free
April 2022
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