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The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies
| The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies |
| Autore | Davies Alan J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2011 |
| Descrizione fisica | 1 online resource (308 p.) |
| Disciplina | 518/.25 |
| Soggetto topico |
Finite element method
Numerical analysis |
| ISBN |
0-19-163034-9
1-283-42690-0 9786613426901 0-19-163033-0 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent 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 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements 4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order 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 time-dependent and non-linear problems; 5.4 Time-dependent 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 one-dimensional example 6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming 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 boundary-value 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 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor 8.2 Solution phase8.3 Post-processor; 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 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion |
| Record Nr. | UNINA-9910791971603321 |
Davies Alan J
|
||
| Oxford ; ; New York, : Oxford University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The finite element method : an introduction with partial differential equations / / A.J. Davies
| The finite element method : an introduction with partial differential equations / / A.J. Davies |
| Autore | Davies Alan J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Oxford ; ; New York, : Oxford University Press, 2011 |
| Descrizione fisica | 1 online resource (308 p.) |
| Disciplina | 518/.25 |
| Soggetto topico |
Finite element method
Numerical analysis |
| ISBN |
0-19-163034-9
1-283-42690-0 9786613426901 0-19-163033-0 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent 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 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements 4.4 Two degrees of freedom at each node4.5 Condensation of internal nodal freedoms; 4.6 Curved boundaries and higher-order 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 time-dependent and non-linear problems; 5.4 Time-dependent 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 one-dimensional example 6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming 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 boundary-value 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 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor 8.2 Solution phase8.3 Post-processor; 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 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion |
| Record Nr. | UNINA-9910828886203321 |
|
Davies Alan J
|
||
| Oxford ; ; New York, : Oxford University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interval analysis : and automatic result verification / / Günter Mayer
| Interval analysis : and automatic result verification / / Günter Mayer |
| Autore | Mayer Günter |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (518 pages) |
| Disciplina | 511.42 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico | Interval analysis (Mathematics) |
| ISBN |
3-11-049805-7
3-11-049946-0 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Preliminaries -- 2. Real intervals -- 3. Interval vectors, interval matrices -- 4. Expressions, P-contraction, ε-inflation -- 5. Linear systems of equations -- 6. Nonlinear systems of equations -- 7. Eigenvalue problems and related ones -- 8. Automatic differentiation -- 9. Complex intervals -- Final Remarks -- Appendix -- A. Proof of the Jordan normal form -- B. Two elementary proofs of Brouwer's fixed point theorem -- C. Proof of the Newton-Kantorovich Theorem -- D. Convergence proof of the row cyclic Jacobi method -- E. The CORDIC algorithm -- F. The symmetric solution set - a proof of Theorem 5.2.6 -- G. A short introduction to INTLAB -- Bibliography -- Symbol Index -- Author Index -- Subject Index |
| Record Nr. | UNINA-9910792705603321 |
|
Mayer Günter
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Interval analysis : and automatic result verification / / Günter Mayer
| Interval analysis : and automatic result verification / / Günter Mayer |
| Autore | Mayer Günter |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (518 pages) |
| Disciplina | 511.42 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico | Interval analysis (Mathematics) |
| ISBN |
3-11-049805-7
3-11-049946-0 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Preliminaries -- 2. Real intervals -- 3. Interval vectors, interval matrices -- 4. Expressions, P-contraction, ε-inflation -- 5. Linear systems of equations -- 6. Nonlinear systems of equations -- 7. Eigenvalue problems and related ones -- 8. Automatic differentiation -- 9. Complex intervals -- Final Remarks -- Appendix -- A. Proof of the Jordan normal form -- B. Two elementary proofs of Brouwer's fixed point theorem -- C. Proof of the Newton-Kantorovich Theorem -- D. Convergence proof of the row cyclic Jacobi method -- E. The CORDIC algorithm -- F. The symmetric solution set - a proof of Theorem 5.2.6 -- G. A short introduction to INTLAB -- Bibliography -- Symbol Index -- Author Index -- Subject Index |
| Record Nr. | UNINA-9910808208403321 |
|
Mayer Günter
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterative regularization methods for nonlinear iII-posed problems [[electronic resource] /] / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer
| Iterative regularization methods for nonlinear iII-posed problems [[electronic resource] /] / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer |
| Autore | Kaltenbacher Barbara |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina |
515.7
620.402/2 |
| Altri autori (Persone) |
NeubauerAndreas
ScherzerOtmar <1964-> |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Differential equations, Partial - Improperly posed problems
Iterative methods (Mathematics) |
| Soggetto non controllato |
Iterative Regularization
Nonlinear Ill-Posed Problems Nonlinear Inverse Problems |
| ISBN |
1-282-19699-5
9786612196997 3-11-020827-X |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- Backmatter |
| Record Nr. | UNINA-9910782777203321 |
|
Kaltenbacher Barbara
|
||
| Berlin ; ; New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Iterative regularization methods for nonlinear iII-posed problems / / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer
| Iterative regularization methods for nonlinear iII-posed problems / / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer |
| Autore | Kaltenbacher Barbara |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (204 p.) |
| Disciplina |
515.7
620.402/2 |
| Altri autori (Persone) |
NeubauerAndreas
ScherzerOtmar <1964-> |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Differential equations, Partial - Improperly posed problems
Iterative methods (Mathematics) |
| ISBN |
1-282-19699-5
9786612196997 3-11-020827-X |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- Backmatter |
| Record Nr. | UNINA-9910820218603321 |
|
Kaltenbacher Barbara
|
||
| Berlin ; ; New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
| Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl |
| Autore | Börm Steffen |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.9/436 |
| Altri autori (Persone) | MehlChristian <1968-> |
| Collana | De Gruyter graduate lectures |
| Soggetto topico |
Eigenvalues
Eigenvectors Matrices - Data processing |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-85759-6
3-11-025037-3 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910462418503321 |
|
Börm Steffen
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl
| Numerical methods for eigenvalue problems [[electronic resource] /] / by Steffen Börm, Christian Mehl |
| Autore | Börm Steffen |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.9/436 |
| Altri autori (Persone) | MehlChristian <1968-> |
| Collana | De Gruyter graduate lectures |
| Soggetto topico |
Eigenvalues
Eigenvectors Matrices - Data processing |
| Soggetto non controllato |
Bisection Method
Eigenvalue Problem Jacobi Iteration QR Iteration Vector Iteration |
| ISBN |
1-283-85759-6
3-11-025037-3 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910790493903321 |
|
Börm Steffen
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Numerical methods for eigenvalue problems / / by Steffen Börm, Christian Mehl
| Numerical methods for eigenvalue problems / / by Steffen Börm, Christian Mehl |
| Autore | Börm Steffen |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; Boston, : De Gruyter, c2012 |
| Descrizione fisica | 1 online resource (216 p.) |
| Disciplina | 512.9/436 |
| Altri autori (Persone) | MehlChristian <1968-> |
| Collana | De Gruyter graduate lectures |
| Soggetto topico |
Eigenvalues
Eigenvectors Matrices - Data processing |
| Soggetto non controllato |
Bisection Method
Eigenvalue Problem Jacobi Iteration QR Iteration Vector Iteration |
| ISBN |
1-283-85759-6
3-11-025037-3 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. Introduction -- Chapter 2. Existence and properties of eigenvalues and eigenvectors -- Chapter 3. Jacobi iteration -- Chapter 4. Power methods -- Chapter 5. QR iteration -- Chapter 6. Bisection methods -- Chapter 7. Krylov subspace methods for large sparse eigenvalue problems -- Chapter 8. Generalized and polynomial eigenvalue problems -- Bibliography -- Index |
| Record Nr. | UNINA-9910827271403321 |
|
Börm Steffen
|
||
| Berlin ; ; Boston, : De Gruyter, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz
| Rational iteration [[electronic resource] ] : complex analytic dynamical systems / / Norbert Steinmetz |
| Autore | Steinmetz Norbert <1949-> |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1993 |
| Descrizione fisica | 1 online resource (195 p.) |
| Disciplina | 511/.4 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Iterative methods (Mathematics)
Mappings (Mathematics) |
| ISBN | 3-11-088931-5 |
| Classificazione | SK 910 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- List of Special Symbols -- 1 Preliminaries -- 2 The Dynamical Dichotomy -- 3 The Fatou Set -- 4 The Existence of Rotation Domains -- 5 The Geometry of the Julia Set -- 6 Miscellanea -- Bibliography -- Index -- Back matter |
| Record Nr. | UNINA-9910785814103321 |
|
Steinmetz Norbert <1949->
|
||
| Berlin ; ; New York, : W. de Gruyter, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
