Moving-grid Methods for Time-dependent Partial Differential Equations PDF Download
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Author: P. A. Zegeling
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 192
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Book Description
Author: P. A. Zegeling
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 192
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Book Description
Author: Paul Zegeling
Publisher:
ISBN:
Category :
Languages : en
Pages : 167
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Book Description
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722463892
Category :
Languages : en
Pages : 32
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Book Description
Various adaptive moving grid techniques for the numerical solution of time-dependent partial differential equations were proposed. The precise criterion for grid motion varies, but most techniques will attempt to give grids on which the solution of the partial differential equation can be well represented. Moving grids are investigated on which the solutions of the linear heat conduction and viscous Burgers' equation in one space dimension are optimally approximated. Precisely, the results of numerical calculations of optimal moving grids for piecewise linear finite element approximation of partial differential equation solutions in the least squares norm. Wathen, A. J. Unspecified Center NCC2-387...
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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This paper contains a survey of recent developments of adaptive-grid algorithms for time-dependent partial differential equations. Two lines of research are discussed. One involves the automatic selection of moving grids to follow propagating waves. The other is based on stationary grids but uses local mesh refinement in both space and time. Advantages and disadvantages of both approaches are discussed. The development of adaptive-grid schemes shows promise of greatly increasing our ability to solve problems in several spatial dimensions.
Author: J. G. Blom
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 37
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Book Description
Abstract: "In the last decade numerical techniques have been developed to solve time-dependent Partial Differential Equations (PDEs) in one dimension having solutions with steep gradients in space and in time. One of these techniques, a moving-grid method based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define the grid positions at each time-level, has been coupled to a spatial discretization method which automatically discretized the spatial part of the user-defined PDE following the Method of Lines approach
Author: Research Institute for Advanced Computer Science (U.S.)
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: R. A. Trompert
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 180
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Book Description
Author: J. G. Blom
Publisher:
ISBN:
Category :
Languages : en
Pages : 37
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Book Description
Author: Shengtai Li
Publisher:
ISBN:
Category :
Languages : en
Pages : 574
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Book Description
Author: Joe F. Thompson
Publisher: CRC Press
ISBN: 9781420050349
Category : Technology & Engineering
Languages : en
Pages : 1136
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Book Description
Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to each section provides a roadmap through the material. This handbook covers: Fundamental concepts and approaches Grid generation process Essential mathematical elements from tensor analysis and differential geometry, particularly relevant to curves and surfaces Cells of any shape - Cartesian, structured curvilinear coordinates, unstructured tetrahedra, unstructured hexahedra, or various combinations Separate grids overlaid on one another, communicating data through interpolation Moving boundaries and internal interfaces in the field Resolving gradients and controlling solution error Grid generation codes, both commercial and freeware, as well as representative and illustrative grid configurations Handbook of Grid Generation contains 37 chapters as well as contributions from more than 100 experts from around the world, comprehensively evaluating this expanding field and providing a fundamental orientation for practitioners.
