Fu, Hao; Xia, Jian; Tian, Shuling; Chen, Long Dual-solver research based on the coupling of flux reconstruction and finite volume methods. (English) Zbl 1520.76053 Acta Mech. 234, No. 8, 3173-3196 (2023). MSC: 76M12 76N06 PDFBibTeX XMLCite \textit{H. Fu} et al., Acta Mech. 234, No. 8, 3173--3196 (2023; Zbl 1520.76053) Full Text: DOI
Yang, Yuchen; Qi, Xinyu; Wang, Zhenming; Liu, Jianming; Zhao, Ning An immersed boundary method based on parallel adaptive Cartesian grids for high Reynolds number turbulent flow. (English) Zbl 07593069 Int. J. Comput. Fluid Dyn. 36, No. 4, 319-341 (2022). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{Y. Yang} et al., Int. J. Comput. Fluid Dyn. 36, No. 4, 319--341 (2022; Zbl 07593069) Full Text: DOI
Mulita, Ornela; Giani, Stefano; Heltai, Luca Quasi-optimal mesh sequence construction through smoothed adaptive finite element methods. (English) Zbl 1477.65263 SIAM J. Sci. Comput. 43, No. 3, A2211-A2241 (2021). MSC: 65N55 65N30 65N50 65N15 65N22 PDFBibTeX XMLCite \textit{O. Mulita} et al., SIAM J. Sci. Comput. 43, No. 3, A2211--A2241 (2021; Zbl 1477.65263) Full Text: DOI arXiv
Kamal Asok, Harshin Interface adapted LBB-stable finite elements on fluid structure interaction problems in fully Eulerian framework. (English) Zbl 1457.74181 Appl. Numer. Math. 162, 283-300 (2021). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{H. Kamal Asok}, Appl. Numer. Math. 162, 283--300 (2021; Zbl 1457.74181) Full Text: DOI
Krämer, Andreas; Wilde, Dominik; Küllmer, Knut; Reith, Dirk; Foysi, Holger; Joppich, Wolfgang Lattice Boltzmann simulations on irregular grids: introduction of the NATriuM library. (English) Zbl 1443.76177 Comput. Math. Appl. 79, No. 1, 34-54 (2020). MSC: 76M28 65Z05 PDFBibTeX XMLCite \textit{A. Krämer} et al., Comput. Math. Appl. 79, No. 1, 34--54 (2020; Zbl 1443.76177) Full Text: DOI
Murphy, Laura; Madzvamuse, Anotida A moving grid finite element method applied to a mechanobiochemical model for 3D cell migration. (English) Zbl 1441.74267 Appl. Numer. Math. 158, 336-359 (2020). MSC: 74S05 74L15 35Q74 PDFBibTeX XMLCite \textit{L. Murphy} and \textit{A. Madzvamuse}, Appl. Numer. Math. 158, 336--359 (2020; Zbl 1441.74267) Full Text: DOI arXiv
Weinzierl, Tobias The Peano software – parallel, automaton-based, dynamically adaptive grid traversals. (English) Zbl 1471.65213 ACM Trans. Math. Softw. 45, No. 2, Article No. 14, 41 p. (2019). MSC: 65N50 65M50 65D17 PDFBibTeX XMLCite \textit{T. Weinzierl}, ACM Trans. Math. Softw. 45, No. 2, Article No. 14, 41 p. (2019; Zbl 1471.65213) Full Text: DOI arXiv
Chernyshenko, Alexey Y.; Olshanskii, Maxim A.; Vassilevski, Yuri V. A hybrid finite volume – finite element method for bulk-surface coupled problems. (English) Zbl 1375.76098 J. Comput. Phys. 352, 516-533 (2018). MSC: 76M12 76M10 76S05 65M08 65M06 PDFBibTeX XMLCite \textit{A. Y. Chernyshenko} et al., J. Comput. Phys. 352, 516--533 (2018; Zbl 1375.76098) Full Text: DOI arXiv
Chernyshenko, Alexey Y.; Olshanskii, Maxim A. An adaptive octree finite element method for PDEs posed on surfaces. (English) Zbl 1425.65155 Comput. Methods Appl. Mech. Eng. 291, 146-172 (2015). MSC: 65N30 65N50 35R01 PDFBibTeX XMLCite \textit{A. Y. Chernyshenko} and \textit{M. A. Olshanskii}, Comput. Methods Appl. Mech. Eng. 291, 146--172 (2015; Zbl 1425.65155) Full Text: DOI arXiv
Bastian, P.; Blatt, M.; Dedner, A.; Engwer, C.; Klöfkorn, R.; Kornhuber, R.; Ohlberger, M.; Sander, O. A generic grid interface for parallel and adaptive scientific computing. II: Implementation and tests in DUNE. (English) Zbl 1151.65088 Computing 82, No. 2-3, 121-138 (2008). MSC: 65N30 65N50 65N55 65Y05 35J05 PDFBibTeX XMLCite \textit{P. Bastian} et al., Computing 82, No. 2--3, 121--138 (2008; Zbl 1151.65088) Full Text: DOI
Oeltz, Daniel A thin space-time grid method for the discretization of parabolic differential equations. (Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen.) (German) Zbl 1165.65380 Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). 164 p. (2006). MSC: 65M06 35K15 65M12 PDFBibTeX XMLCite \textit{D. Oeltz}, Ein Raum-Zeit Dünngitterverfahren zur Diskretisierung parabolischer Differentialgleichungen. Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2006; Zbl 1165.65380) Full Text: Link
Carey, Graham F.; Anderson, M.; Carnes, B.; Kirk, B. Some aspects of adaptive grid technology related to boundary and interior layers. (English) Zbl 1049.65100 J. Comput. Appl. Math. 166, No. 1, 55-86 (2004). MSC: 65M50 65M60 35K57 35K15 65N50 65N12 65M12 65M15 65N15 65N30 82D37 76N15 76M10 PDFBibTeX XMLCite \textit{G. F. Carey} et al., J. Comput. Appl. Math. 166, No. 1, 55--86 (2004; Zbl 1049.65100) Full Text: DOI