A Comparison of the Extended Finite Element Method with the Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
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A Comparison of the Extended Finite Element Method with the Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources by Vaughan Et Al
reported numerical results for three examples using the immersed interface method (IIM) and the extended finite element method (X-FEM). The results presented for the IIM showed first-order accuracy for the solution and inaccurate values of the normal derivative at the interface. This was due to an error in the implementation. The purpose of this note is to present correct results using the IIM ...
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