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A new 3D finite element for adaptive h-refinement in 1-irregular meshes

✍ Scribed by D. J. Morton; J. M. Tyler; J. R. Dorroh

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
571 KB
Volume
38
Category
Article
ISSN
0029-5981

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✦ Synopsis

A new finite element, viable for use in the three-dimensional simulation of transient physical processes with sharply varying solutions, is presented. The element is intended to function in adaptive h-refinement schemes as a versatile transition between regions of different refinement levels, ensuring interelement continuity by constructing a piecewise linear solution at the element boundaries, and retaining all degrees of freedom in the solution phase. Construction of the element shape functions is described, and a numerical example is presented which illustrates the advantages of using such an element in an adaptive refinement problem. The new element can be used in moving-front problems, such as those found in reservoir engineering and groundwater flow applications.

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