Comparison of Two-Dimensional r-Adaptive Finite Element Methods Using Various Error Indicators
نویسندگان
چکیده
Error indicators based on solution gradients, interpolation errors, and a posteriori error estimates are presented for use in deening monitor functions for the r-adaptive nite element methods based on moving mesh partial diierential equations. The methods are compared with a careful selection of examples. The numerical results show that the methods based on both interpolation errors and a posteriori error estimates work well and have better performance than that based on the solution gradient. Since the interpolation error is in general easier and more economic to compute than a posteri-ori error estimates, this study suggests that the error indicator based on interpolation errors be used for the r-adaptive method.
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