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 W1,∞ semi-norm of the interpolation error. For these examples, the L2, L∞, and H1 norms decreased also.
CITATION STYLE
Hetmaniuk, U., & Knupp, P. (2008). A mesh optimization algorithm to decrease the maximum error in finite element computations. In Proceedings of the 17th International Meshing Roundtable, IMR 2008 (pp. 533–550). Kluwer Academic Publishers. https://doi.org/10.1007/978-3-540-87921-3_32
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