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In the generation of element geometries, if dx dy represents an area element in the real element and dεdη represents the corresponding area element in the master element, then what is the expression for Jacobian je?

In the generation of element geometries, if dx dy represents an area element in the real element and dεdη represents the corresponding area element in the master element, then what is the expression for Jacobian je? Correct Answer \(\frac{dx}{d\epsilon} \frac{dy}{d\eta}\)

The numerical evaluation of integrals over actual elements involves a one-to-one mapping between the actual element and the master element. This requirement can be expressed as je>0, where je is the Jacobian matrix. Je represents the ratio of an area element in the real element to the corresponding area element in the master element.

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