Wiley, 2020. — 352 p. — ISBN 9781119671640. Master the finite element method with this masterful and practical volume An Introduction to the Finite Element Method for Differential Equations provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in...
Springer, 2017. — 133 p. Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features...
Springer, 2018. — 358 p. — ISBN: 978-1-4939-7421-4. This text presents a highly original treatment of the fundamentals of FEM, developed using computer algebra, based on undergraduate-level engineering mathematics and the mechanics of solids. The book is divided into two distinct parts of nine chapters and seven appendices. The first chapter reviews the energy concepts in...
Springer, 2021. — 492 p. — (Texts in Applied Mathematics, 73). — ISBN 978-3-030-56922-8. This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Springer, 2021. — 417 p. — (Texts in Applied Mathematics, 74). — ISBN 978-3030573478. This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and...
Third edition. — John Wiley & Sons, 2014. — XXIX, 846. — ISBN: 978-1-118-57136-1 (cloth) A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering...
Springer, 2019. — 473 p. — ISBN: 9789811357756, 9811357757. This book describes the main concepts of and recent advances in the base forces element method (BFEM). It combines theories, methods, models, numerical results, and an analysis of the BFEM. Each chapter starts with an introduction and derivation of a new mathematical model for the proposed method. Subsequently, the...
CRC Press, 2017. — 343 p. 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...
2nd edition. — Wiley, 2021. — 387 p. — ISBN 9781119426424. An updated and comprehensive review of the theoretical foundation of the finite element method The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals...
Dover Publications, Mineola, 2006. — 350 p. — ISBN-13: 978-0486453019. A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with...
Springer Science+Business Media, Singapore, 2016. — 485 p. — ISBN10: 9811007322. Provides essential guidance to ensure students’ success in mechanics courses Shows students how to apply their fundamental knowledge Includes over 80 calculation exercises with brief solutions for each This book introduces readers to modern computational mechanics based on the finite element...
Springer, 2021. — 176 p. — ISBN-13 9783030658922. This book is focused on the introduction of the finite difference method based on the classical one-dimensional structural members, i.e., rods/bars and beams. It is the goal to provide a first introduction to the manifold aspects of the finite difference method and to enable the reader to get a methodical understanding of...
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