The Finite Element Method in Charged Particle Optics
By: by Anjam Khursheed
Series: The Springer International Series in Engineering and Computer Science -- 519; International series in engineering and computer science -- 519.
Publisher: Springer US
Published: 1999
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 274
ISBN-13: 9781461373698; 9781461552017
Subjects: Computer engineering; Nuclear physics; Computational complexity; Engineering
Description: This multidisciplinary book is intended to serve as a reference for postgraduate students and researchers working in the fields of charged particle optics or other finite-element-related applications. It is also suitable for use as a graduate text. For the non-specialist in charged particle optics, the opening chapters provide an introduction to the kinds of field problems that occur in charged particle beam systems. A new and comprehensive approach to the subject is taken. The finite element method is placed within a wider framework than strictly charged particle optics. Concepts developed in fluid flow and structural analysis, not hitherto used in charged particle optics, are presented. Benchmark test results provide a way of comparing the finite element method to other field-solving methods. The book also reports on some high-order interpolation techniques and mesh generation methods that will be of interest to other finite element researchers. Additional coverage includes: field theory and field solutions for charged particle optics; aspects of the finite difference method related to the finite element method; finite element theory and procedure, including detailed formulation of local and global matrices; higher-order elements, which can be an effective way of improving finite element accuracy; the finite element method in three dimensions; ways to formulate scalar and vector problems for magnetic fields; and significant reduction of truncation errors using higher-order elements and extrapolation methods.
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