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Record Nr. |
UNINA9910299783903321 |
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Autore |
Bartels Sören |
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Titolo |
Numerical methods for nonlinear partial differential equations [[electronic resource] /] / by Sören Bartels |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
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ISBN |
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Edizione |
[1st ed. 2015.] |
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Descrizione fisica |
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1 online resource (394 p.) |
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Collana |
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Springer Series in Computational Mathematics, , 0179-3632 ; ; 47 |
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Disciplina |
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510 |
515.353 |
515.64 |
518 |
518.1 |
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Soggetti |
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Numerical analysis |
Partial differential equations |
Algorithms |
Calculus of variations |
Numerical Analysis |
Partial Differential Equations |
Calculus of Variations and Optimal Control; Optimization |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Nota di contenuto |
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1. Introduction -- Part I: Analytical and Numerical Foundations -- 2. Analytical Background -- 3. FEM for Linear Problems -- 4. Concepts for Discretized Problems -- Part II: Approximation of Classical Formulations -- 5. The Obstacle Problem -- 6. The Allen-Cahn Equation -- 7. Harmonic Maps -- 8. Bending Problems -- Part III: Methods for Extended Formulations -- 9. Nonconvexity and Microstructure -- 10. Free Discontinuities -- 11. Elastoplasticity -- Auxiliary Routines -- Frequently Used Notation -- Index. |
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Sommario/riassunto |
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The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the |
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