Numerical method of generating minimal surfaces by using J.Douglas' functional

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  • J.Douglasの汎関数を用いた極小曲面の数値計算法
  • J Douglas ノ ハンカンスウ オ モチイタ キョクショウ キョクメン ノ スウチ ケイサンホウ

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Abstract

We present a method of generating minimal surfaces bounded by given curves. Our method uses a functional which is found by Jesse Douglas in 1931. FFT is another important ingredient of our method. Applying this method, we can generate minimal surfaces more accurately than FEM in less time and with less memory.

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