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Axisymmetric augmented thin plate splines

机译:轴对称增强薄板花键

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This paper reviews the previous axisymmetric global interpolation functions used in the context of the dual reciprocity boundary element method and the axisymmetric Laplace operator. It upgrades the previous heuristic attempts with the axisymmetric form of the augmented thin plate splines. This new approach, based on the theory of radial basis functions, gives more formal mathematical support to this class of problems. The basic equations are accompanied by a set of related expressions that permit straightforward use of the developed global interpolation functions in a broad spectrum of dual reciprocity boundary element methods like discrete approximative procedures.
机译:本文回顾了先前在双互易性边界元法和轴对称拉普拉斯算子中使用的轴对称全局插值函数。它使用增强的薄板花键的轴对称形式升级了以前的启发式尝试。这种基于径向基函数理论的新方法为此类问题提供了更正式的数学支持。基本方程式附带一组相关的表达式,这些表达式允许在广泛的双互易性边界元方法(如离散近似过程)中广泛使用已开发的全局插值函数。

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