Finite Element Methods for Eigenvalue Problems

This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.

Jiguang Sun received his B.S. in 1996 from Tsinghua University and Ph.D. in 2005 from the University of Delaware. Currently, he is a professor at Michigan Technological University. His research interests include finite element methods, eigenvalue problems, inverse scattering theory, and electromagnetic methods in geophysics.

Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. He received his Ph.D. from the Institute of Systems Science of the Chinese Academy of Sciences in 1991. His research focuses on mathematical understanding and numerical approximation of electronic structure models and related topics.