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Multilevel adaptive methods for partial differential equations [electronic resource] /

Stephen F. McCormick.

Book Cover
Main Author: McCormick, S. F.
Published: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1989.
Series: Frontiers in applied mathematics ; 6.
Topics: Differential equations, Partial - Numerical solutions. | Multigrid methods (Numerical analysis)
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100 1 |aMcCormick, S. F.|q(Stephen Fahrney),|d1944-
245 10|aMultilevel adaptive methods for partial differential equations|h[electronic resource] /|cStephen F. McCormick.
260 |aPhiladelphia, Pa. :|bSociety for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),|c1989.
300 |a1 electronic text (ix, 162 p.) :|bill., digital file.
490 1 |aFrontiers in applied mathematics ;|v6
504 |aIncludes bibliographical references (p. 155-160) and index.
505 0 |aChapter 1. Introduction -- Chapter 2. The Finite Volume Element method (FVE) -- Chapter 3. Multigrid methods (MG) -- Chapter 4. The Fast Adaptive Composite grid method (FAC) -- Chapter 5. The Asynchronous Fast Adaptive Composite grid method (AFAC) -- Appendix -- References -- Index.
506 |aRestricted to subscribers or individual electronic text purchasers.
520 3 |aA practical handbook for understanding and using fast adaptive composite grid (FAC) methods for discretization and solution of partial differential equations (PDEs). Contains fundamental concepts. These so-called FAC are characterized by their use of a composite grid, which is nominally the union of various uniform grids. FAC is capable of producing a composite grid with tailored resolution, and a corresponding solution with commensurate accuracy, at a cost proportional to the number of composite grid points. Moreover, special asynchronous versions of the fast adaptive composite grid methods (AFAC) studied here have seemingly optimal complexity in a parallel computing environment. Most of the methods treated in this book were discovered only within the last decade, and in many cases their development is still in its infancy. While this is not meant to be comprehensive, it does provide a theoretical and practical guide to multilevel adaptive methods and relevant discretization techniques. It also contains new material, which is included to fill in certain gaps and to expose new avenues of research. Also, because adaptive refinement seems to demand a lot of attention to philosophical issues, personal perspectives are often brought freely into the discussion.
530 |aAlso available in print version.
538 |aMode of access: World Wide Web.
538 |aSystem requirements: Adobe Acrobat Reader.
588 |aTitle from title screen, viewed 04/05/2011.
650 0|aDifferential equations, Partial|xNumerical solutions.
650 0|aMultigrid methods (Numerical analysis)
653 |aFinite volume element method
653 |aAdaptive methods
653 |aMultilevel adaptive methods
653 |aMultigrid methods
653 |aPartial differential equations
653 |aGalerkin operators
710 2 |aSociety for Industrial and Applied Mathematics.
776 08|iPrint version:|z0898712475|z9780898712476|w(DLC) 89022034
830 0|aFrontiers in applied mathematics ;|v6.
856 40|3SIAM|uhttps://ezproxy.gl.iit.edu/login?url=http://epubs.siam.org/ebooks/siam/frontiers_in_applied_mathematics/fr06|zAccess to the electronic version for current IIT main & branch campus students, faculty, & staff.

Staff View for: Multilevel adaptive methods for partial