Engels, Thomas; Kolomenskiy, Dmitry; Schneider, Kai; Sesterhenn, Jörn FluSI: a novel parallel simulation tool for flapping insect flight using a Fourier method with volume penalization. (English) Zbl 1348.76106 SIAM J. Sci. Comput. 38, No. 5, S3-S24 (2016). MSC: 76M22 65M85 74F10 76Z10 65Y05 76F65 PDFBibTeX XMLCite \textit{T. Engels} et al., SIAM J. Sci. Comput. 38, No. 5, S3--S24 (2016; Zbl 1348.76106) Full Text: DOI arXiv
Engels, Thomas; Kolomenskiy, Dmitry; Schneider, Kai; Sesterhenn, Jörn Numerical simulation of fluid-structure interaction with the volume penalization method. (English) Zbl 1351.76202 J. Comput. Phys. 281, 96-115 (2015). MSC: 76M22 65M70 74F10 76Z10 PDFBibTeX XMLCite \textit{T. Engels} et al., J. Comput. Phys. 281, 96--115 (2015; Zbl 1351.76202) Full Text: DOI
Kolomenskiy, Dmitry; Nguyen van yen, Romain; Schneider, Kai Analysis and discretization of the volume penalized Laplace operator with Neumann boundary conditions. (English) Zbl 1320.65153 Appl. Numer. Math. 95, 238-249 (2015). MSC: 65N06 65N25 PDFBibTeX XMLCite \textit{D. Kolomenskiy} et al., Appl. Numer. Math. 95, 238--249 (2015; Zbl 1320.65153) Full Text: DOI arXiv
van Yen, Romain Nguyen; Kolomenskiy, Dmitry; Schneider, Kai Approximation of the Laplace and Stokes operators with Dirichlet boundary conditions through volume penalization: a spectral viewpoint. (English) Zbl 1301.65118 Numer. Math. 128, No. 2, 301-338 (2014). MSC: 65N25 35P15 35J05 35J25 65N06 35Q30 PDFBibTeX XMLCite \textit{R. N. van Yen} et al., Numer. Math. 128, No. 2, 301--338 (2014; Zbl 1301.65118) Full Text: DOI arXiv
Kolomenskiy, Dmitry; Schneider, Kai A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles. (English) Zbl 1169.76045 J. Comput. Phys. 228, No. 16, 5687-5709 (2009). MSC: 76M22 76D05 70E99 PDFBibTeX XMLCite \textit{D. Kolomenskiy} and \textit{K. Schneider}, J. Comput. Phys. 228, No. 16, 5687--5709 (2009; Zbl 1169.76045) Full Text: DOI