Zhang, Qi; Sheng, Zhiqiang; Yuan, Guangwei A monotone finite volume scheme for diffusion equations on general non-conforming meshes. (English) Zbl 1426.65160 Appl. Math. Comput. 311, 300-313 (2017). MSC: 65N08 PDFBibTeX XMLCite \textit{Q. Zhang} et al., Appl. Math. Comput. 311, 300--313 (2017; Zbl 1426.65160) Full Text: DOI
Faigle, Benjamin; Elfeel, Mohamed Ahmed; Helmig, Rainer; Becker, Beatrix; Flemisch, Bernd; Geiger, Sebastian Multi-physics modeling of non-isothermal compositional flow on adaptive grids. (English) Zbl 1423.76421 Comput. Methods Appl. Mech. Eng. 292, 16-34 (2015). MSC: 76S05 76M12 65M08 65M50 PDFBibTeX XMLCite \textit{B. Faigle} et al., Comput. Methods Appl. Mech. Eng. 292, 16--34 (2015; Zbl 1423.76421) Full Text: DOI
Faigle, Benjamin; Helmig, Rainer; Aavatsmark, Ivar; Flemisch, Bernd Efficient multiphysics modelling with adaptive grid refinement using a MPFA method. (English) Zbl 1392.76076 Comput. Geosci. 18, No. 5, 625-636 (2014). MSC: 76S05 65M50 PDFBibTeX XMLCite \textit{B. Faigle} et al., Comput. Geosci. 18, No. 5, 625--636 (2014; Zbl 1392.76076) Full Text: DOI
Philip, B.; Wang, Zhiqiang Jack; Berrill, M. A.; Birke, M.; Pernice, M. Dynamic implicit 3D adaptive mesh refinement for non-equilibrium radiation diffusion. (English) Zbl 1349.65381 J. Comput. Phys. 262, 17-37 (2014). MSC: 65M08 PDFBibTeX XMLCite \textit{B. Philip} et al., J. Comput. Phys. 262, 17--37 (2014; Zbl 1349.65381) Full Text: DOI arXiv
Yin, Li; Wu, Jiming; Yao, Yanzhong A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes. (English) Zbl 1307.65128 Numer. Math. 128, No. 4, 773-804 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M55 65M12 65M60 65M15 35K55 PDFBibTeX XMLCite \textit{L. Yin} et al., Numer. Math. 128, No. 4, 773--804 (2014; Zbl 1307.65128) Full Text: DOI
Chang, Lina; Yuan, Guangwei Cell-centered finite volume methods with flexible stencils for diffusion equations on general nonconforming meshes. (English) Zbl 1227.76042 Comput. Methods Appl. Mech. Eng. 198, No. 17-20, 1638-1646 (2009). MSC: 76M12 76R50 PDFBibTeX XMLCite \textit{L. Chang} and \textit{G. Yuan}, Comput. Methods Appl. Mech. Eng. 198, No. 17--20, 1638--1646 (2009; Zbl 1227.76042) Full Text: DOI
Rasaei, M. Reza; Sahimi, Muhammad Upscaling of the permeability by multiscale wavelet transformations and simulation of multiphase flows in heterogeneous porous media. (English) Zbl 1421.76229 Comput. Geosci. 13, No. 2, 187-214 (2009). MSC: 76S05 76T99 76M25 PDFBibTeX XMLCite \textit{M. R. Rasaei} and \textit{M. Sahimi}, Comput. Geosci. 13, No. 2, 187--214 (2009; Zbl 1421.76229) Full Text: DOI
Lambers, James V.; Gerritsen, Margot G.; Mallison, Bradley T. Accurate local upscaling with variable compact multipoint transmissibility calculations. (English) Zbl 1259.76048 Comput. Geosci. 12, No. 3, 399-416 (2008). MSC: 76M25 76S05 PDFBibTeX XMLCite \textit{J. V. Lambers} et al., Comput. Geosci. 12, No. 3, 399--416 (2008; Zbl 1259.76048) Full Text: DOI
Gerritsen, M.; Lambers, J. V. Integration of local-global upscaling and grid adaptivity for simulation of subsurface flow in heterogeneous formations. (English) Zbl 1159.76362 Comput. Geosci. 12, No. 2, 193-208 (2008). MSC: 76M25 PDFBibTeX XMLCite \textit{M. Gerritsen} and \textit{J. V. Lambers}, Comput. Geosci. 12, No. 2, 193--208 (2008; Zbl 1159.76362) Full Text: DOI
Haber, Eldad; Heldmann, Stefan An octree multigrid method for quasi-static Maxwell’s equations with highly discontinuous coefficients. (English) Zbl 1125.78013 J. Comput. Phys. 223, No. 2, 783-796 (2007). MSC: 78M25 65N55 78A30 65F10 PDFBibTeX XMLCite \textit{E. Haber} and \textit{S. Heldmann}, J. Comput. Phys. 223, No. 2, 783--796 (2007; Zbl 1125.78013) Full Text: DOI Link
Øian, Erlend; Garrido, Izaskun; Chaib, Mohamed; Fladmark, Gunnar E.; Espedal, Magne S. Modeling fractured and faulted regions: local grid refinement methods for implicit solvers. (English) Zbl 1299.76199 Comput. Vis. Sci. 6, No. 2-3, 123-129 (2004). MSC: 76M27 76M10 76S05 74F10 PDFBibTeX XMLCite \textit{E. Øian} et al., Comput. Vis. Sci. 6, No. 2--3, 123--129 (2004; Zbl 1299.76199) Full Text: DOI
Lipnikov, Konstantin; Morel, Jim; Shashkov, Mikhail Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. (English) Zbl 1057.65071 J. Comput. Phys. 199, No. 2, 589-597 (2004). MSC: 65N06 35J25 65N12 65N50 80M20 80A20 PDFBibTeX XMLCite \textit{K. Lipnikov} et al., J. Comput. Phys. 199, No. 2, 589--597 (2004; Zbl 1057.65071) Full Text: DOI
Borthwick, A. G. L.; Cruz-Léon, S.; Józsa, J. The shallow flow equations solved on adaptive quadtree grids. (English) Zbl 1055.76530 Int. J. Numer. Methods Fluids 37, No. 6, 691-719 (2001). MSC: 76M12 76B15 86A05 76U05 PDFBibTeX XMLCite \textit{A. G. L. Borthwick} et al., Int. J. Numer. Methods Fluids 37, No. 6, 691--719 (2001; Zbl 1055.76530) Full Text: DOI
Edwards, Michael G. Cross flow tensors and finite volume approximation with by deferred correction. (English) Zbl 0920.76068 Comput. Methods Appl. Mech. Eng. 151, No. 1-2, 143-161 (1998). MSC: 76M25 76T99 PDFBibTeX XMLCite \textit{M. G. Edwards}, Comput. Methods Appl. Mech. Eng. 151, No. 1--2, 143--161 (1998; Zbl 0920.76068) Full Text: DOI
Edwards, Michael G. A higher-order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium. (English) Zbl 0888.76052 Comput. Methods Appl. Mech. Eng. 131, No. 3-4, 287-308 (1996). MSC: 76M20 76S05 PDFBibTeX XMLCite \textit{M. G. Edwards}, Comput. Methods Appl. Mech. Eng. 131, No. 3--4, 287--308 (1996; Zbl 0888.76052) Full Text: DOI