Integration over discrete closed surfaces using the Method of Fundamental Solutions

Lockerby, Duncan A.

doi:10.1016/j.enganabound.2021.12.013

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…( 3), (4) and Eqs. ( 19), (20). Finally, the conformable normal curvature of the conformable surface in the tangent vector direction is found as…”

Section: Discussionmentioning

confidence: 99%

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Measurement and Calculation on Conformable Surfaces

Has,

Yılmaz

2023

Mediterr. J. Math.

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In this study, some basic concepts related to the surface are examined with the help of conformable fractional analysis. As known, the best thing that makes fractional analysis popular is that it gives numerically more approximate results compared to classical analysis. For this reason, the concepts that enable us to make calculations based on measurement on the surface have been redefined to give more numerical results with conformable fractional analysis. In addition, with the help of fractional analysis, it is explained which concepts is changed or not. Finally, an example is given to better understand the obtained results and its graph is drawn with the help of Mathematica. The reason for using conformable fractional analysis in this study is that it is more suitable for the algebraic structure of differential geometry.

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“…( 3), (4) and Eqs. ( 19), (20). Finally, the conformable normal curvature of the conformable surface in the tangent vector direction is found as…”

Section: Discussionmentioning

confidence: 99%

“…The subject of surfaces is one of the leading fields of study in differential geometry. Especially making differential and integral calculations on the surface is a very important subject and many researchers are working on it [20,29,30]. Especially, the researchers who touch on this subject first work on the shape operator.…”

Section: Introductionmentioning

confidence: 99%