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.
Auriault, On the domain of validity of brinkman’s equation, Transport in porous media 79 (2) (2009) 215–223
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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.