Asmouh, Ilham; El-Amrani, Mofdi; Seaid, Mohammed; Yebari, Naji A conservative semi-Lagrangian finite volume method for convection-diffusion problems on unstructured grids. (English) Zbl 1452.65304 J. Sci. Comput. 85, No. 1, Paper No. 11, 24 p. (2020). MSC: 65N08 65M25 76R50 76U60 85A05 PDFBibTeX XMLCite \textit{I. Asmouh} et al., J. Sci. Comput. 85, No. 1, Paper No. 11, 24 p. (2020; Zbl 1452.65304) Full Text: DOI
Ahn, Hyung Taek Hyperbolic cell-centered finite volume method for steady incompressible Navier-Stokes equations on unstructured grids. (English) Zbl 1519.76163 Comput. Fluids 200, Article ID 104434, 17 p. (2020). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{H. T. Ahn}, Comput. Fluids 200, Article ID 104434, 17 p. (2020; Zbl 1519.76163) Full Text: DOI
Lee, Euntaek; Ahn, Hyung Taek; Luo, Hong Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids. (English) Zbl 1380.65333 J. Comput. Phys. 355, 464-491 (2018). MSC: 65N08 35R05 PDFBibTeX XMLCite \textit{E. Lee} et al., J. Comput. Phys. 355, 464--491 (2018; Zbl 1380.65333) Full Text: DOI
Mirkov, Nikola; Rašuo, Boško; Kenjereš, Saša On the improved finite volume procedure for simulation of turbulent flows over real complex terrains. (English) Zbl 1351.76116 J. Comput. Phys. 287, 18-45 (2015). MSC: 76M12 65M08 76F65 PDFBibTeX XMLCite \textit{N. Mirkov} et al., J. Comput. Phys. 287, 18--45 (2015; Zbl 1351.76116) Full Text: DOI
Després, B.; Labourasse, E. Angular momentum preserving cell-centered Lagrangian and Eulerian schemes on arbitrary grids. (English) Zbl 1349.76322 J. Comput. Phys. 290, 28-54 (2015). MSC: 76M12 65M08 65M60 76Nxx PDFBibTeX XMLCite \textit{B. Després} and \textit{E. Labourasse}, J. Comput. Phys. 290, 28--54 (2015; Zbl 1349.76322) Full Text: DOI HAL
Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids. (English) Zbl 1416.65411 Comput. Math. Appl. 65, No. 12, 1978-1989 (2013). MSC: 65N08 65N55 35R05 PDFBibTeX XMLCite \textit{P. Salinas} et al., Comput. Math. Appl. 65, No. 12, 1978--1989 (2013; Zbl 1416.65411) Full Text: DOI
Salinas, P.; Rodrigo, C.; Gaspar, F. J.; Lisbona, F. J. Multigrid methods for cell-centered discretizations on triangular meshes. (English) Zbl 1313.65322 Numer. Linear Algebra Appl. 20, No. 4, 626-644 (2013). Reviewer: Do Young Kwak (Daejeon) MSC: 65N55 65N15 65N06 65N08 65N50 PDFBibTeX XMLCite \textit{P. Salinas} et al., Numer. Linear Algebra Appl. 20, No. 4, 626--644 (2013; Zbl 1313.65322) Full Text: DOI
Hou, Jingming; Liang, Qiuhua; Simons, Franz; Hinkelmann, Reinhard A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains. (English) Zbl 1290.76083 Comput. Fluids 82, 132-147 (2013). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{J. Hou} et al., Comput. Fluids 82, 132--147 (2013; Zbl 1290.76083) Full Text: DOI
Sun, Weiwei; Wu, Jiming; Zhang, Xiaoping A family of linearity-preserving schemes for anisotropic diffusion problems on arbitrary polyhedral grids. (English) Zbl 1286.76138 Comput. Methods Appl. Mech. Eng. 267, 418-433 (2013). MSC: 76R50 76M12 65N08 PDFBibTeX XMLCite \textit{W. Sun} et al., Comput. Methods Appl. Mech. Eng. 267, 418--433 (2013; Zbl 1286.76138) Full Text: DOI
Hou, Jingming; Simons, Franz; Mahgoub, Mohamed; Hinkelmann, Reinhard A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography. (English) Zbl 1286.76020 Comput. Methods Appl. Mech. Eng. 257, 126-149 (2013). MSC: 76B15 76M12 PDFBibTeX XMLCite \textit{J. Hou} et al., Comput. Methods Appl. Mech. Eng. 257, 126--149 (2013; Zbl 1286.76020) Full Text: DOI
Ren, Chaoqian; Zhou, Wen; Ouyang, Jie; Yang, Binxin A flux-based unstructured grids finite volume method for level set equations. (Chinese. English summary) Zbl 1299.65206 Chin. J. Eng. Math. 30, No. 4, 619-628 (2013). MSC: 65M08 65M50 35Q35 PDFBibTeX XMLCite \textit{C. Ren} et al., Chin. J. Eng. Math. 30, No. 4, 619--628 (2013; Zbl 1299.65206) Full Text: DOI
Le Potier, Christophe; Thanh, Hai A cell-centered scheme for heterogeneous anisotropic diffusion problems on general meshes. (English) Zbl 1490.65243 Int. J. Finite Vol. 8, Article ID hal-01116990, 40 p. (2012). MSC: 65N08 65N12 65N30 65N50 PDFBibTeX XMLCite \textit{C. Le Potier} and \textit{H. Thanh}, Int. J. Finite Vol. 8, Article ID hal-01116990, 40 p. (2012; Zbl 1490.65243) Full Text: HAL
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan A multiscale mortar multipoint flux mixed finite element method. (English) Zbl 1275.65082 ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759-796 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N06 65N12 65N15 65N22 35J25 65N55 PDFBibTeX XMLCite \textit{M. F. Wheeler} et al., ESAIM, Math. Model. Numer. Anal. 46, No. 4, 759--796 (2012; Zbl 1275.65082) Full Text: DOI
Eymard, Robert; Hilhorst, Danielle; Vohralík, Martin A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids. (English) Zbl 1192.65117 Numer. Methods Partial Differ. Equations 26, No. 3, 612-646 (2010). Reviewer: Vit Dolejsi (Praha) MSC: 65M08 65M12 65M60 65M50 35K57 35K65 PDFBibTeX XMLCite \textit{R. Eymard} et al., Numer. Methods Partial Differ. Equations 26, No. 3, 612--646 (2010; Zbl 1192.65117) Full Text: DOI HAL
Wilson, John David; Naff, Richard L. Multigrid preconditioned conjugate-gradient solver for mixed finite-element method. (English) Zbl 1198.65064 Comput. Geosci. 14, No. 2, 289-299 (2010). Reviewer: Jan Mandel (Denver) MSC: 65F10 65N55 65N30 65F08 65N06 76S05 76M10 PDFBibTeX XMLCite \textit{J. D. Wilson} and \textit{R. L. Naff}, Comput. Geosci. 14, No. 2, 289--299 (2010; Zbl 1198.65064) Full Text: DOI
Friis, Helmer André; Edwards, Michael G.; Mykkeltveit, Johannes Symmetric positive definite flux-continuous full-tensor finite-volume schemes on unstructured cell-centered triangular grids. (English) Zbl 1190.65163 SIAM J. Sci. Comput. 31, No. 2, 1192-1220 (2008). MSC: 65N08 35J25 76S05 35R05 65N50 PDFBibTeX XMLCite \textit{H. A. Friis} et al., SIAM J. Sci. Comput. 31, No. 2, 1192--1220 (2008; Zbl 1190.65163) Full Text: DOI
Djayapertapa, L.; Allen, C. B.; Fiddes, S. P. Two-dimensional transonic aeroservoelastic computations in the time domain. (English) Zbl 1032.76039 Int. J. Numer. Methods Eng. 52, No. 12, 1355-1377 (2001). Reviewer: Thomas Sonar (Braunschweig) MSC: 76M12 74F10 76N25 76H05 PDFBibTeX XMLCite \textit{L. Djayapertapa} et al., Int. J. Numer. Methods Eng. 52, No. 12, 1355--1377 (2001; Zbl 1032.76039) Full Text: DOI
Deng, G. B.; Piquet, J.; Vasseur, X.; Visonneau, M. A new fully coupled method for computing turbulent flows. (English) Zbl 1058.76042 Comput. Fluids 30, No. 4, 445-472 (2001). MSC: 76M20 76F10 PDFBibTeX XMLCite \textit{G. B. Deng} et al., Comput. Fluids 30, No. 4, 445--472 (2001; Zbl 1058.76042) Full Text: DOI
Wesseling, Pieter Principles of computational fluid dynamics. (English) Zbl 0960.76002 Springer Series in Computational Mathematics. 29. Berlin: Springer. xii, 644 p. (2000). Reviewer: Vasile Ionescu (Bucureşti) MSC: 76-02 76Mxx 65Mxx PDFBibTeX XMLCite \textit{P. Wesseling}, Principles of computational fluid dynamics. Berlin: Springer (2000; Zbl 0960.76002)
Agarwal, R. K.; Halt, D. W. A compact high-order unstructured grid method for the solution of Euler equations. (English) Zbl 0977.76054 Int. J. Numer. Methods Fluids 31, No. 1, 121-147 (1999). MSC: 76M12 76H05 PDFBibTeX XMLCite \textit{R. K. Agarwal} and \textit{D. W. Halt}, Int. J. Numer. Methods Fluids 31, No. 1, 121--147 (1999; Zbl 0977.76054) Full Text: DOI
Wang, Z. J. A quadtree-based adaptive Cartesian/Quad grid flow solver for Navier-Stokes equations. (English) Zbl 0968.76053 Comput. Fluids 27, No. 4, 529-549 (1998). MSC: 76M12 76N15 PDFBibTeX XMLCite \textit{Z. J. Wang}, Comput. Fluids 27, No. 4, 529--549 (1998; Zbl 0968.76053) Full Text: DOI
Pantelelis, Nikos G.; Kanarachos, Andreas E. The parallel block adaptive multigrid method for the implicit solution of the Euler equations. (English) Zbl 0879.76071 Int. J. Numer. Methods Fluids 22, No. 5, 411-428 (1996). Reviewer: M.Lukáčová (Brno) MSC: 76M25 76H05 65Y05 PDFBibTeX XMLCite \textit{N. G. Pantelelis} and \textit{A. E. Kanarachos}, Int. J. Numer. Methods Fluids 22, No. 5, 411--428 (1996; Zbl 0879.76071) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. (English) Zbl 0840.65124 Numer. Linear Algebra Appl. 1, No. 4, 337-368 (1994). MSC: 65N55 65F10 65F35 65N12 65N50 65N06 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Linear Algebra Appl. 1, No. 4, 337--368 (1994; Zbl 0840.65124) Full Text: DOI
Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. Finite difference schemes on triangular cell-centered grids with local refinement. (English) Zbl 0813.65115 SIAM J. Sci. Stat. Comput. 13, No. 6, 1287-1313 (1992). MSC: 65N06 65N50 65F10 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{P. S. Vassilevski} et al., SIAM J. Sci. Stat. Comput. 13, No. 6, 1287--1313 (1992; Zbl 0813.65115) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0726.65137 Numer. Math. 59, No. 5, 431-452 (1991). MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Math. 59, No. 5, 431--452 (1991; Zbl 0726.65137) Full Text: DOI EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0712.65102 Numer. Math. (to appear). Reviewer: R.E.Ewing MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XML Full Text: EuDML
Forsyth, P. A. jun.; Sammon, P. H. Quadratic convergence for cell-centered grids. (English) Zbl 0651.65086 Appl. Numer. Math. 4, No. 5, 377-394 (1988). Reviewer: S.L.Svensson MSC: 65Z05 65N15 65N50 76S05 PDFBibTeX XMLCite \textit{P. A. Forsyth jun.} and \textit{P. H. Sammon}, Appl. Numer. Math. 4, No. 5, 377--394 (1988; Zbl 0651.65086) Full Text: DOI
Weiser, Alan; Wheeler, Mary Fanett On convergence of block centered finite differences for elliptic problems. (English) Zbl 0644.65062 SIAM J. Numer. Anal. 25, No. 2, 351-375 (1988). Reviewer: P.Onumanyi MSC: 65N12 PDFBibTeX XMLCite \textit{A. Weiser} and \textit{M. F. Wheeler}, SIAM J. Numer. Anal. 25, No. 2, 351--375 (1988; Zbl 0644.65062) Full Text: DOI