About: Infinite element method

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The infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The method divides the domain concerned into sections of infinite length. In contrast with a finite element which is approximated by polynomial expressions on a finite support, the unbounded length of the infinite element is fitted with functions allowing the evaluation of the field at the asymptot. The number of functions and points of interpolations define the accuracy of the element in the infinite direction. The method is commonly used to solve acoustic problems and allows to respect the Sommerfeld condition of non-return of the acoustic waves and the diffusion of the pressure waves in the far field.

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  • The infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The method divides the domain concerned into sections of infinite length. In contrast with a finite element which is approximated by polynomial expressions on a finite support, the unbounded length of the infinite element is fitted with functions allowing the evaluation of the field at the asymptot. The number of functions and points of interpolations define the accuracy of the element in the infinite direction. The method is commonly used to solve acoustic problems and allows to respect the Sommerfeld condition of non-return of the acoustic waves and the diffusion of the pressure waves in the far field. (en)
  • 수학에서 무한요소법(無限要素法, 영어: infinite element method)은 편미분 방정식이나 적분, 열 방정식 등의 근사해를 구하는 유한요소법의 변형이다. 요소의 개수가 무한 개이다. (ko)
  • 微元法（英語：Differential element method），也叫元素法、微元素法、无穷小元素的求和法，是数学和物理中常用的一种求解数学和物理问题的方法。 (zh)
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  • The infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The method divides the domain concerned into sections of infinite length. In contrast with a finite element which is approximated by polynomial expressions on a finite support, the unbounded length of the infinite element is fitted with functions allowing the evaluation of the field at the asymptot. The number of functions and points of interpolations define the accuracy of the element in the infinite direction. The method is commonly used to solve acoustic problems and allows to respect the Sommerfeld condition of non-return of the acoustic waves and the diffusion of the pressure waves in the far field. (en)
  • 수학에서 무한요소법(無限要素法, 영어: infinite element method)은 편미분 방정식이나 적분, 열 방정식 등의 근사해를 구하는 유한요소법의 변형이다. 요소의 개수가 무한 개이다. (ko)
  • 微元法（英語：Differential element method），也叫元素法、微元素法、无穷小元素的求和法，是数学和物理中常用的一种求解数学和物理问题的方法。 (zh)
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  • Infinite element method (en)
  • 무한요소법 (ko)
  • 微元法 (zh)
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