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The finite element method for elliptic problems [electronic resource] /

Philippe G. Ciarlet.

Book Cover
Main Author: Ciarlet, Philippe G.
Published: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2002.
Series: Classics in applied mathematics ; 40.
Topics: Differential equations, Elliptic - Numerical solutions. | Boundary value problems - Numerical solutions. | Finite element method.
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100 1 |aCiarlet, Philippe G.
245 14|aThe finite element method for elliptic problems|h[electronic resource] /|cPhilippe G. Ciarlet.
260 |aPhiladelphia, Pa. :|bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),|c2002.
300 |a1 electronic text (xxiv, 530 p.) :|bill., digital file.
490 1 |aClassics in applied mathematics ;|v40
504 |aIncludes bibliographical references (p. 481-511) and index.
505 0 |aGeneral plan and interdependence table -- Elliptic boundary value problems -- Introduction to the finite element method -- Conforming finite element methods for second order problems -- Other finite element methods for second-order problems -- Application of the finite element method to some nonlinear problems -- Finite element methods for the plate problem -- A mixed finite element method -- Finite element methods for shells -- Epilogue: some "real-life" finite element model examples.
506 |aRestricted to subscribers or individual electronic text purchasers.
520 3 |aThe Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.
530 |aAlso available in print version.
538 |aMode of access: World Wide Web.
538 |aSystem requirements: Adobe Acrobat Reader.
588 |aDescription based on title page of print version.
650 0|aDifferential equations, Elliptic|xNumerical solutions.
650 0|aBoundary value problems|xNumerical solutions.
650 0|aFinite element method.
653 |aDifferential equations
653 |aElliptics
653 |aNumerial solutions
653 |aBoundary value problems
653 |aFinite element method
710 2 |aSociety for Industrial and Applied Mathematics.
776 08|iPrint version:|z0898715148|z9780898715149|w(DLC) 2002019515
830 0|aClassics in applied mathematics ;|v40.
856 40|3SIAM|u|zAccess to the electronic version for current IIT main & branch campus students, faculty, & staff.

Staff View for: The finite element method for elliptic p