h-p Spectral Element Method for Elliptic Eigenvalue Problems Год выпуска: 2012Автор: Lokendra Kumar Balyan and Pravir DuttИздательство: LAP Lambert Academic PublishingСтраниц: 112ISBN: 9783846589847Описание This book deals with the techniques to solve elliptic eigenvalue problems on polygonal domains using least squares methods. It provides an in-depth treatment of an exponentially accurate nonconforming h-p spectral element method. The spectral element functions are nonconforming and a correction is made to the approximate solution so that the corrected solution is conforming. In this book we discuss the method separately when the boundary of underlying domain is smooth and also when the boundary contains corners. We present error estimates for the eigenvalues and eigenvectors and show that the error in the numerical solution is exponentially small. Theoretical results presented in the book are equally well suited for multiple or clustered eigenvalues.
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Анна, 12.04 Вы мне писали дипломную работу. Преподаватель прочитал эту работу, был просто в восторге... Есть небольшие замечания по поводу оформления списка литературы, говорит не по стандарту.
