August 20, 2025Journal of Thermophysics and Heat Transfer

Inverse Determination of Thermal Conductivity of Functionally Graded Materials with Polynomial Approximation

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Determining thermal conductivity using polynomial approximation significantly improves accuracy, minimizing unknown parameters.
Numerical results indicated that higher polynomial degrees yield more accurate thermal conductivity estimations over iterations.
Employing the conjugate gradient method allows for efficient resolution of the polynomial coefficients effectively.
Validation against the finite element method demonstrates the robustness and precision of the proposed boundary element method.

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Implication

The dual reciprocity boundary element method accurately estimates thermal conductivity in functionally graded materials, highlighting the efficiency of polynomial approximation.

Cite This Study

Li et al. (2025) studied this question.

synapsesocial.com/papers/68af3e42cf1dd9ea359eb12f https://doi.org/10.2514/1.t7286

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Implication

The dual reciprocity boundary element method accurately estimates thermal conductivity in functionally graded materials, highlighting the efficiency of polynomial approximation.

Inverse Determination of Thermal Conductivity of Functionally Graded Materials with Polynomial Approximation

Key Points

Discussion

Implication

Cite This Study

Inverse Determination of Thermal Conductivity of Functionally Graded Materials with Polynomial Approximation

Key Points

Discussion

Implication

Cite This Study