The finite element method : an introduction with partial differential equations, A.J. Davies, (electronic resource)
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The instance The finite element method : an introduction with partial differential equations, A.J. Davies, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Instance, Electronic.
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The finite element method : an introduction with partial differential equations, A.J. Davies, (electronic resource)
Resource Information
The instance The finite element method : an introduction with partial differential equations, A.J. Davies, (electronic resource) represents a material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Instance, Electronic.
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 The finite element method : an introduction with partial differential equations, A.J. Davies, (electronic resource)
 Title remainder
 an introduction with partial differential equations
 Medium
 electronic resource
 Statement of responsibility
 A.J. Davies
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Contents

 Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Selfadjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Nonhomogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The RayleighRitz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for timedependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems
 3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higherorder elements: the isoparametric concept; 4.1 A twopoint boundaryvalue problem; 4.2 Higherorder rectangular elements; 4.3 Higherorder triangular elements
 4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higherorder elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for timedependent and nonlinear problems; 5.4 Timedependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A onedimensional example
 6.2 Twodimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Nonconforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundaryvalue problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Timedependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Preprocessor
 8.2 Solution phase8.3 Postprocessor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 Onedimensional Gauss quadrature; D.2 Twodimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature
 Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (308 p.)
 Form of item
 online
 Isbn
 9781283426909
 Record ID
 99149006759801651
 Specific material designation
 remote
 System control number

 (CKB)2560000000079339
 (EBL)834727
 (OCoLC)772845035
 (MiAaPQ)EBC834727
 (EXLCZ)992560000000079339
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