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Title: A mesh optimization algorithm to decrease the maximum error in finite element computations.

Conference ·
OSTI ID:949830

We present a mesh optimization algorithm for adaptively improving the finite element interpolation of a function of interest. The algorithm minimizes an objective function by swapping edges and moving nodes. Numerical experiments are performed on model problems. The results illustrate that the mesh optimization algorithm can reduce the W{sup 1,{infinity}} semi-norm of the interpolation error. For these examples, the L{sup 2}, L{sup {infinity}}, and H{sup 1} norms decreased also.

Research Organization:
Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC04-94AL85000
OSTI ID:
949830
Report Number(s):
SAND2008-3548C; TRN: US200909%%427
Resource Relation:
Conference: Proposed for presentation at the 17th International Meshing Roundtable held October 12-15, 2008 in Pittsburgh, PA.
Country of Publication:
United States
Language:
English