In Infinite Boundary Elements, we typically utilize Infinite Shape Functions, i.e. we use Quadratic Shape Functions, but let the Intrinsic Coordinate be defined by the limits [-1 to Infinity], instead of the more typically used limits of [-1 to +1]. However, for Gaussian Quadrature, when we integrate over Infinite Elements, to the best of my knowledge, the limits are typically converted back from the utilized [-1 to Infinity] to the typical limits of [-1 to +1]. This typically leads to the "Jacobian of transformation" utilization, and consideration of decay conditions at Infinity.
Does this hold for all cases of Infinite Elements for 2-D and Axisymmetric Problems, as well as 3-D problems, especially in geomechanics?
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