Final Report: Symposium on Adaptive Methods for Partial Differential Equations

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Complex physical phenomena often include features that span a wide range of spatial and temporal scales. Accurate simulation of such phenomena can be difficult to obtain, and computations that are under-resolved can even exhibit spurious features. While it is possible to resolve small scale features by increasing the number of grid points, global grid refinement can quickly lead to problems that are intractable, even on the largest available computing facilities. These constraints are particularly severe for three dimensional problems that involve complex physics. One way to achieve the needed resolution is to refine the computational mesh locally, in only those ... continued below

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32 p.

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Pernice, Michael; Johnson, Christopher R.; Smith, Philip J. & Fogelson, Aaron December 8, 1998.

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Description

Complex physical phenomena often include features that span a wide range of spatial and temporal scales. Accurate simulation of such phenomena can be difficult to obtain, and computations that are under-resolved can even exhibit spurious features. While it is possible to resolve small scale features by increasing the number of grid points, global grid refinement can quickly lead to problems that are intractable, even on the largest available computing facilities. These constraints are particularly severe for three dimensional problems that involve complex physics. One way to achieve the needed resolution is to refine the computational mesh locally, in only those regions where enhanced resolution is required. Adaptive solution methods concentrate computational effort in regions where it is most needed. These methods have been successfully applied to a wide variety of problems in computational science and engineering. Adaptive methods can be difficult to implement, prompting the development of tools and environments to facilitate their use. To ensure that the results of their efforts are useful, algorithm and tool developers must maintain close communication with application specialists. Conversely it remains difficult for application specialists who are unfamiliar with the methods to evaluate the trade-offs between the benefits of enhanced local resolution and the effort needed to implement an adaptive solution method.

Physical Description

32 p.

Notes

OSTI as DE00765103

Medium: P; Size: 32 pages

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  • Symposium on Adaptive Methods for Partial Differential Equations, Salt Lake City, UT (US), 06/22/1998--06/24/1998

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  • Report No.: NONE
  • Grant Number: FG03-98ER25345
  • Office of Scientific & Technical Information Report Number: 765103
  • Archival Resource Key: ark:/67531/metadc718807

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Office of Scientific & Technical Information Technical Reports

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  • December 8, 1998

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 22, 2018, 9:39 p.m.

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Pernice, Michael; Johnson, Christopher R.; Smith, Philip J. & Fogelson, Aaron. Final Report: Symposium on Adaptive Methods for Partial Differential Equations, article, December 8, 1998; Salt Lake City, Utah. (digital.library.unt.edu/ark:/67531/metadc718807/: accessed December 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.