Format:
1 online resource (465 pages)
Edition:
1st ed.
ISBN:
9780080472751
Content:
This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. * The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics * Includes source code for creating and proving FEA error estimators * Complete with homework exercises and supporting website with instructor's solutions manual.
Content:
Cover -- Frontmatter -- Half Title Page -- Title Page -- Copyright -- Contents -- Preface -- Features of the text and accompanying resources -- Notation -- 1. Introduction -- 1.1 Finite element methods -- 1.2 Capabilities of FEA -- 1.3 Outline of finite element procedures -- 1.4 Assembly into the system equations -- 1.5 Error concepts -- 1.6 Exercises -- 1.7 Bibliography -- 2. Mathematical preliminaries -- 2.1 Introduction -- 2.2 Linear spaces and norms -- 2.3 Sobolev norms -- 2.4 Dual problem, self-adjointness -- 2.5 Weighted residuals -- 2.6 Boundary condition terms -- 2.7 Adding more unknowns -- 2.8 Numerical integration -- 2.9 Integration by parts -- 2.10 Finite element model problem -- 2.11 Continuous nodal flux recovery -- 2.12 A one-dimensional example error analysis -- 2.13 General boundary condition choices -- 2.14 General matrix partitions -- 2.15 Elliptic boundary value problems -- 2.16 Initial value problems -- 2.17 Eigen-problems -- 2.18 Equivalent forms -- 2.19 Exercises -- 2.20 Bibliography -- 3. Element interpolation and local coordinates -- 3.1 Introduction -- 3.2 Linear interpolation -- 3.3 Quadratic interpolation -- 3.4 Lagrange interpolation -- 3.5 Hermitian interpolation -- 3.6 Hierarchical interpolation -- 3.7 Space-time interpolations -- 3.8 Nodally exact interpolations -- 3.9 Interpolation error -- 3.10 Gradient estimates -- 3.11 Exercises -- 3.12 Bibliography -- 4. One-dimensional integration -- 4.1 Introduction -- 4.2 Local coordinate Jacobian -- 4.3 Exact polynomial integration -- 4.4 Numerical integration -- 4.5 Variable Jacobians -- 4.6 Exercises -- 4.7 Bibliography -- 5. Error estimates for elliptic problems -- 5.1 Introduction -- 5.2 Error estimates -- 5.3 Hierarchical error indicator -- 5.4 Flux balancing error estimates -- 5.5 Element adaptivity -- 5.6 H-adaptivity -- 5.7 P-adaptivity -- 5.8 HP-adaptivity.
Note:
Description based on publisher supplied metadata and other sources
Additional Edition:
9780750667227
Additional Edition:
Erscheint auch als Druck-Ausgabe Akin, John E., 1941 - Finite element anaylsis with error estimators Oxford [u.a.] : Elsevier/Butterworth-Heinemann, 2006 0750667222
Language:
English
URL:
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