The CF-KFBI method converts Brinkman interface problems into boundary integral equations discretized via corrected MAC schemes, with local correction functions solved by collocation whose solvability is proven.
Babuška, The finite element method for elliptic equations with discontinuous coefficients, Computing 5 (3) (1970) 207–213
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A Correction Function-based KFBI Method for Brinkman Interface Problems
The CF-KFBI method converts Brinkman interface problems into boundary integral equations discretized via corrected MAC schemes, with local correction functions solved by collocation whose solvability is proven.