Consistent Approximations of Some Geometric Differential Operators and Their Convergences
نویسنده
چکیده
The numerical integration of many geometric partial differential equations involves discrete approximations of several firstand second-order geometric differential operators. In this paper, we consider consistent discretized approximations of these operators based on a quadratic fitting scheme. An asymptotic error analysis is conducted which shows that the discrete approximations of the firstand second-order geometric differential operators have the quadratic and linear convergence rates, respectively.
منابع مشابه
Consistent Approximations of Some Geometric Differential Operators
The numerical integration of many geometric partial differential equations involve discrete approximations of some differential geometric operators. In this paper, we consider consistent discretized approximations of these operators based on a quadratic fitting scheme. Asymptotic error analysis on the quadratic fitting are conducted. The experiments show that the proposed approach is effective.
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