Lee, Pilhwa; Griffith, Boyce E.; Peskin, Charles S. The immersed boundary method for advection-electrodiffusion with implicit timestepping and local mesh refinement. (English) Zbl 1346.76109 J. Comput. Phys. 229, No. 13, 5208-5227 (2010). MSC: 76M20 76M25 76T99 65M06 PDFBibTeX XMLCite \textit{P. Lee} et al., J. Comput. Phys. 229, No. 13, 5208--5227 (2010; Zbl 1346.76109) Full Text: DOI
Griffith, Boyce E.; Hornung, Richard D.; McQueen, David M.; Peskin, Charles S. An adaptive, formally second order accurate version of the immersed boundary method. (English) Zbl 1163.76041 J. Comput. Phys. 223, No. 1, 10-49 (2007). MSC: 76M25 74F10 76Z05 92C10 65M06 PDFBibTeX XMLCite \textit{B. E. Griffith} et al., J. Comput. Phys. 223, No. 1, 10--49 (2007; Zbl 1163.76041) Full Text: DOI
Griffith, Boyce E.; Peskin, Charles S. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. (English) Zbl 1115.76386 J. Comput. Phys. 208, No. 1, 75-105 (2005). MSC: 76M25 65M99 74D99 74F10 76D05 PDFBibTeX XMLCite \textit{B. E. Griffith} and \textit{C. S. Peskin}, J. Comput. Phys. 208, No. 1, 75--105 (2005; Zbl 1115.76386) Full Text: DOI