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An Evaluation of the Gradient-weighted Moving-finite-element Method in One Space Dimension

P. A. ZegelingJ. G. Blom

出版	Stichting Mathematisch Centrum, 1990
URL	http://books.google.com.hk/books?id=92HfHgAACAAJ&hl=&source=gbs_api

註釋

Abstract: "Moving-grid methods are becoming increasingly popular for solving several kinds of parabolic and hyperbolic partial differential equations involving fine scale structures such as steep moving fronts and emerging steep layers. An interesting example of such a method is provided by the moving-finite-element (MFE) method. A difficulty with MFE, as with many other existing moving-grid methods, is the threat of grid distortion which can only be avoided by the use of penalty terms. The involved parameter tuning is known to be very important, not only to provide for a safe automatic grid-point selection, but also for efficiency in the time-stepping process.