Editor: Qing-Hua Qin

Trefftz and Fundamental Solution-Based Finite Element Methods

eBook: US $99 Special Offer (PDF + Printed Copy): US $181
Printed Copy: US $131
Library License: US $396
ISBN: 978-981-4998-55-0 (Print)
ISBN: 978-981-4998-54-3 (Online)
Year of Publication: 2021
DOI: 10.2174/97898149985431210101
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This reference explains hybrid-Trefftz finite element method (FEM). Readers are introduced to the basic concepts and general element formulations of the method. This is followed by topics on non-homogeneous parabolic problems, thermal analysis of composites, and heat conduction in nonlinear functionally graded materials. A brief summary of the fundamental solution based-FEM is also presented followed by a discussion on axisymmetric potential problems and the rotordynamic response of tapered composites. The book is rounded by chapters that cover the n-sided polygonal hybrid finite elements and analysis of piezoelectric materials.

Key Features

  • - Systematic presentation of 9 topics
  • - Covers FEMs in two sections: 1) hybrid-Trefftz method and 2) fundamental FEM solutions
  • - Bibliographic references
  • - Includes solutions to problems in the numerical analysis of different material types
  • - Includes solutions to some problems encountered in civil engineering (seepage, heat transfer, etc).

This reference is suitable for scholars involved in advanced courses in mathematics and engineering (civil engineering/materials engineering). Professionals involved in developing analytical tools for materials and construction testing can also benefit from the methods presented in the book.


Scholars at the graduate and postgraduate levels in mathematics, civil engineering, and materials science; researchers and engineering professionals involved in the making of programs and numerical tools to assess problems in construction projects


Dr Yi Xiao – September 03, 2021

This is the first book to systematically discuss fundamental solution based finite element methods. Most formulations were illustrated by a number of numerical examples.


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