Mathematical Aspects of Finite Elements in Partial Differential Equations: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974
Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial d...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Kent
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial differential equation, and problems with interfaces.Organized into 13 chapters, this book begins with an overview of the class of finite element subspaces with numerical examples. This text then presents as models the Dirichlet problem for the potential and bipotential operator and discusses the question of non-conforming elements using the classical Ritz- and least-squares-method. Other chapters consider some error estimates for the Galerkin problem by such energy considerations. This book discusses as well the spatial discretization of problem and presents the Galerkin method for ordinary differential equations using polynomials of degree k. The final chapter deals with the continuous-time Galerkin method for the heat equation.This book is a valuable resource for mathematicians |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (431 pages) |
| ISBN: | 9781483268071 9780122083501 |
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| spelling | de Boor, Carl Verfasser aut Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 Kent Elsevier Science 2014 © 1974 1 online resource (431 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial differential equation, and problems with interfaces.Organized into 13 chapters, this book begins with an overview of the class of finite element subspaces with numerical examples. This text then presents as models the Dirichlet problem for the potential and bipotential operator and discusses the question of non-conforming elements using the classical Ritz- and least-squares-method. Other chapters consider some error estimates for the Galerkin problem by such energy considerations. This book discusses as well the spatial discretization of problem and presents the Galerkin method for ordinary differential equations using polynomials of degree k. The final chapter deals with the continuous-time Galerkin method for the heat equation.This book is a valuable resource for mathematicians Differential equations, Partial -- Congresses Finite element method -- Congresses Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Finite-Elemente-Methode (DE-588)4017233-8 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Differentialgleichung (DE-588)4012249-9 s 2\p DE-604 Erscheint auch als Druck-Ausgabe de Boor, Carl Mathematical Aspects of Finite Elements in Partial Differential Equations : Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, April 1 – 3, 1974 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | de Boor, Carl Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 Differential equations, Partial -- Congresses Finite element method -- Congresses Differentialgleichung (DE-588)4012249-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4017233-8 (DE-588)4044779-0 (DE-588)1071861417 |
| title | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_auth | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_exact_search | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_full | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_fullStr | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_full_unstemmed | Mathematical Aspects of Finite Elements in Partial Differential Equations Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| title_short | Mathematical Aspects of Finite Elements in Partial Differential Equations |
| title_sort | mathematical aspects of finite elements in partial differential equations proceedings of a symposium conducted by the mathematics research center the university of wisconsin madison april 1 3 1974 |
| title_sub | Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin-Madison, April 1 - 3, 1974 |
| topic | Differential equations, Partial -- Congresses Finite element method -- Congresses Differentialgleichung (DE-588)4012249-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial -- Congresses Finite element method -- Congresses Differentialgleichung Finite-Elemente-Methode Partielle Differentialgleichung Konferenzschrift |
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