August 26, 2024Engineering Computations

An efficient finite element computation using subparametric transformation up to cubic-order for curved triangular elements

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Finite element approximation accuracy increases when modeling boundary value problems, and higher-order parabolic arcs consistently improve solution precision.
Collocation method using one-side curved triangular elements derives exact subparametric shape functions, and domain discretization reduces computational complexity.
Subparametric transformation may enable efficient engineering boundary simulations, yet testing remains limited to the specific boundary value problem evaluated.

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Implication

Computational study demonstrates increased finite element approximation accuracy across curved boundaries, suggesting reduced complexity in boundary value problems.

Cite This Study

Sasikala et al. (2024) studied this question.

synapsesocial.com/papers/68e5aefbb6db6435875484ae https://doi.org/10.1108/ec-01-2024-0032

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Implication

Computational study demonstrates increased finite element approximation accuracy across curved boundaries, suggesting reduced complexity in boundary value problems.

An efficient finite element computation using subparametric transformation up to cubic-order for curved triangular elements

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Discussion

Implication

Cite This Study

An efficient finite element computation using subparametric transformation up to cubic-order for curved triangular elements

Key Points

Discussion

Implication

Cite This Study

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