Xu, Liang; Liu, Tiegang Ghost-fluid-based sharp interface methods for multi-material dynamics: a review. (English) Zbl 07783555 Commun. Comput. Phys. 34, No. 3, 563-612 (2023). MSC: 35Q31 35Q74 76N10 76T06 76T10 76T30 74F10 74A50 35L45 65M06 65N85 PDFBibTeX XMLCite \textit{L. Xu} and \textit{T. Liu}, Commun. Comput. Phys. 34, No. 3, 563--612 (2023; Zbl 07783555) Full Text: DOI
Nguyen, Thuong Adaptive central-upwind scheme on triangular grids for the shallow water model with variable density. (English) Zbl 1524.76243 Int. J. Numer. Anal. Model. 20, No. 2, 229-266 (2023). MSC: 76M12 65M08 35L65 86-08 86A05 PDFBibTeX XMLCite \textit{T. Nguyen}, Int. J. Numer. Anal. Model. 20, No. 2, 229--266 (2023; Zbl 1524.76243) Full Text: DOI arXiv
Wang, Qinghe; Pan, Mingyang; Tseng, Yu-Hau; He, Dongdong An energy stable immersed boundary method for deformable membrane problem with non-uniform density and viscosity. (English) Zbl 1514.35325 J. Sci. Comput. 94, No. 2, Paper No. 30, 24 p. (2023). MSC: 35Q30 76D05 76T06 74K15 PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Sci. Comput. 94, No. 2, Paper No. 30, 24 p. (2023; Zbl 1514.35325) Full Text: DOI
Garoosi, Faroogh; Mahdi, Tew-Fik Numerical simulation of three-fluid Rayleigh-Taylor instability using an enhanced volume-of-fluid (VOF) model: new benchmark solutions. (English) Zbl 1521.76424 Comput. Fluids 245, Article ID 105591, 33 p. (2022). MSC: 76M12 35Q35 PDFBibTeX XMLCite \textit{F. Garoosi} and \textit{T.-F. Mahdi}, Comput. Fluids 245, Article ID 105591, 33 p. (2022; Zbl 1521.76424) Full Text: DOI
Maarouf, S.; Bernardi, C.; Yakoubi, D. Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method. (English) Zbl 1507.76040 Comput. Methods Appl. Mech. Eng. 394, Article ID 114843, 22 p. (2022). MSC: 76D05 35Q35 65M60 76M10 PDFBibTeX XMLCite \textit{S. Maarouf} et al., Comput. Methods Appl. Mech. Eng. 394, Article ID 114843, 22 p. (2022; Zbl 1507.76040) Full Text: DOI
Chauvin, R.; Guisset, S.; Manach-Perennou, B.; Martaud, L. A colocalized scheme for three-temperature grey diffusion radiation hydrodynamics. (English) Zbl 1482.65160 Commun. Comput. Phys. 31, No. 1, 293-330 (2022). MSC: 65M08 35Q35 65M12 82D10 PDFBibTeX XMLCite \textit{R. Chauvin} et al., Commun. Comput. Phys. 31, No. 1, 293--330 (2022; Zbl 1482.65160) Full Text: DOI
Howard, Amanda A.; Tartakovsky, Alexandre M. A conservative level set method for \(N\)-phase flows with a free-energy-based surface tension model. (English) Zbl 07510068 J. Comput. Phys. 426, Article ID 109955, 22 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{A. A. Howard} and \textit{A. M. Tartakovsky}, J. Comput. Phys. 426, Article ID 109955, 22 p. (2021; Zbl 07510068) Full Text: DOI
Chiocchetti, Simone; Peshkov, Ilya; Gavrilyuk, Sergey; Dumbser, Michael High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension. (English) Zbl 07510040 J. Comput. Phys. 426, Article ID 109898, 45 p. (2021). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. Chiocchetti} et al., J. Comput. Phys. 426, Article ID 109898, 45 p. (2021; Zbl 07510040) Full Text: DOI arXiv
Rajan, Girish Kumar Solutions of a comprehensive dispersion relation for waves at the elastic interface of two viscous fluids. (English) Zbl 1475.35241 Eur. J. Mech., B, Fluids 89, 241-258 (2021). MSC: 35Q30 35Q35 76D05 76D33 PDFBibTeX XMLCite \textit{G. K. Rajan}, Eur. J. Mech., B, Fluids 89, 241--258 (2021; Zbl 1475.35241) Full Text: DOI
Turnquist, Brian; Owkes, Mark A fast, decomposed pressure correction method for an intrusive stochastic multiphase flow solver. (English) Zbl 1521.76096 Comput. Fluids 221, Article ID 104930, 15 p. (2021). MSC: 76D05 35Q30 76M35 76Txx PDFBibTeX XMLCite \textit{B. Turnquist} and \textit{M. Owkes}, Comput. Fluids 221, Article ID 104930, 15 p. (2021; Zbl 1521.76096) Full Text: DOI
Gu, Zhenghua; Yao, Yuan; Yu, Ching-Hao; An, Ruidong Development of a volume of fluid method for computing interfacial incompressible fluid flows. (English) Zbl 1473.35401 Commun. Comput. Phys. 27, No. 4, 1076-1114 (2020). MSC: 35Q30 76D05 76D27 76M20 PDFBibTeX XMLCite \textit{Z. Gu} et al., Commun. Comput. Phys. 27, No. 4, 1076--1114 (2020; Zbl 1473.35401) Full Text: DOI
Cáceres, Ernesto; Guzmán, Johnny; Olshanskii, Maxim New stability estimates for an unfitted finite element method for two-phase Stokes problem. (English) Zbl 1467.65106 SIAM J. Numer. Anal. 58, No. 4, 2165-2192 (2020). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N85 76D07 35B45 76T06 35R05 35Q35 PDFBibTeX XMLCite \textit{E. Cáceres} et al., SIAM J. Numer. Anal. 58, No. 4, 2165--2192 (2020; Zbl 1467.65106) Full Text: DOI arXiv
Mittal, H. V. R.; Kalita, Jiten C.; Al-Mdallal, Qasem M. A hybrid \(\psi\)-\(v\) HOC approach for surface tension driven flows in level set framework. (English) Zbl 1437.65108 Comput. Math. Appl. 79, No. 8, 2350-2375 (2020). MSC: 65M06 76D05 76D45 76T30 76T06 76T10 35Q35 PDFBibTeX XMLCite \textit{H. V. R. Mittal} et al., Comput. Math. Appl. 79, No. 8, 2350--2375 (2020; Zbl 1437.65108) Full Text: DOI
Turnquist, Brian; Owkes, Mark multiUQ: an intrusive uncertainty quantification tool for gas-liquid multiphase flows. (English) Zbl 1453.76181 J. Comput. Phys. 399, Article ID 108951, 30 p. (2019). MSC: 76M35 76T10 60H15 35R60 76D05 76M12 PDFBibTeX XMLCite \textit{B. Turnquist} and \textit{M. Owkes}, J. Comput. Phys. 399, Article ID 108951, 30 p. (2019; Zbl 1453.76181) Full Text: DOI
Gibou, Frederic; Hyde, David; Fedkiw, Ron Sharp interface approaches and deep learning techniques for multiphase flows. (English) Zbl 1451.76131 J. Comput. Phys. 380, 442-463 (2019). MSC: 76T10 76-02 76D05 76M12 65M08 35J05 65N08 76D45 68T07 PDFBibTeX XMLCite \textit{F. Gibou} et al., J. Comput. Phys. 380, 442--463 (2019; Zbl 1451.76131) Full Text: DOI
Zhang, Jiaqi; Yue, Pengtao A high-order and interface-preserving discontinuous Galerkin method for level-set reinitialization. (English) Zbl 1416.65368 J. Comput. Phys. 378, 634-664 (2019). MSC: 65M60 76M10 35F21 76D45 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{P. Yue}, J. Comput. Phys. 378, 634--664 (2019; Zbl 1416.65368) Full Text: DOI
Nguyen, Van-Tu; Thang, Van-Dat; Park, Warn-Gyu A novel sharp interface capturing method for two- and three-phase incompressible flows. (English) Zbl 1410.76254 Comput. Fluids 172, 147-161 (2018). MSC: 76M12 65M08 76D05 76T30 35Q30 PDFBibTeX XMLCite \textit{V.-T. Nguyen} et al., Comput. Fluids 172, 147--161 (2018; Zbl 1410.76254) Full Text: DOI
Kikinzon, Evgeny; Kuznetsov, Yuri; Lipnikov, Konstatin; Shashkov, Mikhail Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. (English) Zbl 1380.65234 J. Comput. Phys. 347, 416-436 (2017). MSC: 65M50 35Q79 PDFBibTeX XMLCite \textit{E. Kikinzon} et al., J. Comput. Phys. 347, 416--436 (2017; Zbl 1380.65234) Full Text: DOI Link
Saye, Robert Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I. (English) Zbl 1380.76045 J. Comput. Phys. 344, 647-682 (2017). MSC: 76M10 76T10 35J05 35J57 PDFBibTeX XMLCite \textit{R. Saye}, J. Comput. Phys. 344, 647--682 (2017; Zbl 1380.76045) Full Text: DOI
Zheng, Xiaoming; Lowengrub, John An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. (English) Zbl 1357.65271 Adv. Comput. Math. 42, No. 5, 1225-1257 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 35J25 35R05 76D07 76M10 65N12 92C17 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{J. Lowengrub}, Adv. Comput. Math. 42, No. 5, 1225--1257 (2016; Zbl 1357.65271) Full Text: DOI
Dai, William W.; Scannapieco, Anthony J. Second-order accurate interface- and discontinuity-aware diffusion solvers in two and three dimensions. (English) Zbl 1352.65230 J. Comput. Phys. 281, 982-1002 (2015). MSC: 65M06 35K10 PDFBibTeX XMLCite \textit{W. W. Dai} and \textit{A. J. Scannapieco}, J. Comput. Phys. 281, 982--1002 (2015; Zbl 1352.65230) Full Text: DOI
Springer, Julia; Urban, Karsten Adjoint-based optimization for rigid body motion in multiphase Navier-Stokes flow. (English) Zbl 1320.35292 SIAM J. Sci. Comput. 37, No. 2, B185-B214 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q35 76D05 76B75 70E15 76T30 PDFBibTeX XMLCite \textit{J. Springer} and \textit{K. Urban}, SIAM J. Sci. Comput. 37, No. 2, B185--B214 (2015; Zbl 1320.35292) Full Text: DOI Link
Giesselmann, Jan; Pryer, Tristan Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model. (English) Zbl 1310.76092 ESAIM, Math. Model. Numer. Anal. 49, No. 1, 275-301 (2015). MSC: 76M10 65M12 65M60 76D45 76D05 35Q30 35Q53 76T99 PDFBibTeX XMLCite \textit{J. Giesselmann} and \textit{T. Pryer}, ESAIM, Math. Model. Numer. Anal. 49, No. 1, 275--301 (2015; Zbl 1310.76092) Full Text: DOI arXiv Link
Starinshak, David P.; Karni, Smadar; Roe, Philip L. A new level-set model for the representation of non-smooth geometries. (English) Zbl 1307.65113 J. Sci. Comput. 61, No. 3, 649-672 (2014). MSC: 65M06 35L02 PDFBibTeX XMLCite \textit{D. P. Starinshak} et al., J. Sci. Comput. 61, No. 3, 649--672 (2014; Zbl 1307.65113) Full Text: DOI Link
Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen; Donkov, Alexander Coupled solution of the Boltzmann and Navier-Stokes equations in gas-liquid two phase flow. (English) Zbl 1365.76322 Comput. Fluids 71, 283-296 (2013). MSC: 76T10 35Q30 35Q20 76M28 PDFBibTeX XMLCite \textit{S. Tiwari} et al., Comput. Fluids 71, 283--296 (2013; Zbl 1365.76322) Full Text: DOI
Afkhami, Shahriar; Renardy, Yuriko A volume-of-fluid formulation for the study of co-flowing fluids governed by the Hele-Shaw equations. (English) Zbl 1320.76108 Phys. Fluids 25, No. 8, Paper No. 082001, 19 p. (2013). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{S. Afkhami} and \textit{Y. Renardy}, Phys. Fluids 25, No. 8, Paper No. 082001, 19 p. (2013; Zbl 1320.76108) Full Text: DOI arXiv Link
Pramanik, Satyajit; Mishra, Manoranjan Linear stability analysis of Korteweg stresses effect on miscible viscous fingering in porous media. (English) Zbl 1320.76112 Phys. Fluids 25, No. 7, Paper No. 074104, 21 p. (2013). MSC: 76S05 35Q35 76E17 PDFBibTeX XMLCite \textit{S. Pramanik} and \textit{M. Mishra}, Phys. Fluids 25, No. 7, Paper No. 074104, 21 p. (2013; Zbl 1320.76112) Full Text: DOI
Ullah, Mohammed Aman; Gao, Wenbin; Mao, De-Kang Towards front-tracking based on conservation in two space dimensions. III: Tracking interfaces. (English) Zbl 1314.65113 J. Comput. Phys. 242, 268-303 (2013). MSC: 65M06 35A35 35L65 76N15 PDFBibTeX XMLCite \textit{M. A. Ullah} et al., J. Comput. Phys. 242, 268--303 (2013; Zbl 1314.65113) Full Text: DOI
Miller, Gregory H.; Puckett, Elbridge Gerry A Neumann-Neumann preconditioned iterative substructuring approach for computing solutions to Poisson’s equation with prescribed jumps on an embedded boundary. (English) Zbl 1291.76248 J. Comput. Phys. 235, 683-700 (2013). MSC: 76M25 65F05 35J05 65Y05 35K05 35Q35 PDFBibTeX XMLCite \textit{G. H. Miller} and \textit{E. G. Puckett}, J. Comput. Phys. 235, 683--700 (2013; Zbl 1291.76248) Full Text: DOI
Fechter, S.; Jaegle, Felix; Schleper, Veronika Exact and approximate Riemann solvers at phase boundaries. (English) Zbl 1277.76072 Comput. Fluids 75, 112-126 (2013). MSC: 76M25 35Q31 76L05 76T99 76N99 PDFBibTeX XMLCite \textit{S. Fechter} et al., Comput. Fluids 75, 112--126 (2013; Zbl 1277.76072) Full Text: DOI
Farhat, Charbel; Gerbeau, Jean-Frédéric; Rallu, Arthur FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps. (English) Zbl 1284.76264 J. Comput. Phys. 231, No. 19, 6360-6379 (2012). MSC: 76M12 76T99 76N99 35Q31 PDFBibTeX XMLCite \textit{C. Farhat} et al., J. Comput. Phys. 231, No. 19, 6360--6379 (2012; Zbl 1284.76264) Full Text: DOI
Aniszewski, W.; Bogusławski, A.; Marek, M.; Tyliszczak, A. A new approach to sub-grid surface tension for LES of two-phase flows. (English) Zbl 1284.76284 J. Comput. Phys. 231, No. 21, 7368-7397 (2012). MSC: 76M25 35Q30 76T99 PDFBibTeX XMLCite \textit{W. Aniszewski} et al., J. Comput. Phys. 231, No. 21, 7368--7397 (2012; Zbl 1284.76284) Full Text: DOI arXiv
Chiu, Pao-Hsiung; Lin, Yan-Ting A conservative phase field method for solving incompressible two-phase flows. (English) Zbl 1427.76201 J. Comput. Phys. 230, No. 1, 185-204 (2011). MSC: 76M99 76T99 35Q35 PDFBibTeX XMLCite \textit{P.-H. Chiu} and \textit{Y.-T. Lin}, J. Comput. Phys. 230, No. 1, 185--204 (2011; Zbl 1427.76201) Full Text: DOI
Shyue, Keh-Ming A high-resolution mapped grid algorithm for compressible multiphase flow problems. (English) Zbl 1282.76152 J. Comput. Phys. 229, No. 23, 8780-8801 (2010). MSC: 76M25 76N99 76T30 65M06 65M50 65Y15 35L60 PDFBibTeX XMLCite \textit{K.-M. Shyue}, J. Comput. Phys. 229, No. 23, 8780--8801 (2010; Zbl 1282.76152) Full Text: DOI Link
Omata, Seiro; Kazama, Masaki; Nakagawa, Hideaki Variational approach to evolutionary free boundary problems. (English) Zbl 1238.58009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1547-e1552 (2009). MSC: 58E50 76D05 76D45 35L70 35R35 35Q30 47J30 PDFBibTeX XMLCite \textit{S. Omata} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1547--e1552 (2009; Zbl 1238.58009) Full Text: DOI
Xu, G.; Hu, J.; Tsai, H. L. Three-dimensional modeling of arc plasma and metal transfer in gas metal arc welding. (English) Zbl 1157.80379 Int. J. Heat Mass Transfer 52, No. 7-8, 1709-1724 (2009). MSC: 80A20 76T99 80A22 35J05 PDFBibTeX XMLCite \textit{G. Xu} et al., Int. J. Heat Mass Transfer 52, No. 7--8, 1709--1724 (2009; Zbl 1157.80379) Full Text: DOI
Mao, De-Kang Towards front-tracking based on conservation in two space dimensions. II: Tracking discontinuities in capturing fashion. (English) Zbl 1128.65066 J. Comput. Phys. 226, No. 2, 1550-1588 (2007). MSC: 65M06 35A35 35L65 76N15 PDFBibTeX XMLCite \textit{D.-K. Mao}, J. Comput. Phys. 226, No. 2, 1550--1588 (2007; Zbl 1128.65066) Full Text: DOI
Dellacherie, Stéphane Numerical resolution of a potential diphasic low Mach number system. (English) Zbl 1163.76035 J. Comput. Phys. 223, No. 1, 151-187 (2007). Reviewer: Murli Gupta (Washington, D. C.) MSC: 76M20 76T99 35Q35 65M06 80M20 PDFBibTeX XMLCite \textit{S. Dellacherie}, J. Comput. Phys. 223, No. 1, 151--187 (2007; Zbl 1163.76035) Full Text: DOI
Olshanskii, Maxim A.; Peters, Jörg; Reusken, Arnold Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. (English) Zbl 1120.65059 Numer. Math. 105, No. 1, 159-191 (2006). Reviewer: Ronald H. W. Hoppe (Augsburg) MSC: 65F35 65F10 65N30 35Q30 76T10 76M10 PDFBibTeX XMLCite \textit{M. A. Olshanskii} et al., Numer. Math. 105, No. 1, 159--191 (2006; Zbl 1120.65059) Full Text: DOI
Olshanskii, Maxim A.; Reusken, Arnold Analysis of a Stokes interface problem. (English) Zbl 1092.65104 Numer. Math. 103, No. 1, 129-149 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65F10 35J25 35Q30 76D07 76M10 65N12 PDFBibTeX XMLCite \textit{M. A. Olshanskii} and \textit{A. Reusken}, Numer. Math. 103, No. 1, 129--149 (2006; Zbl 1092.65104) Full Text: DOI
Hieber, Simone E.; Koumoutsakos, Petros A Lagrangian particle level set method. (English) Zbl 1076.65087 J. Comput. Phys. 210, No. 1, 342-367 (2005). MSC: 65M70 35L45 76M28 74S30 92C50 PDFBibTeX XMLCite \textit{S. E. Hieber} and \textit{P. Koumoutsakos}, J. Comput. Phys. 210, No. 1, 342--367 (2005; Zbl 1076.65087) Full Text: DOI
Berthelsen, Petter Andreas A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions. (English) Zbl 1052.65100 J. Comput. Phys. 197, No. 1, 364-386 (2004). MSC: 65N06 35J25 35R05 PDFBibTeX XMLCite \textit{P. A. Berthelsen}, J. Comput. Phys. 197, No. 1, 364--386 (2004; Zbl 1052.65100) Full Text: DOI
Knoll, D. A.; Keyes, D. E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. (English) Zbl 1036.65045 J. Comput. Phys. 193, No. 2, 357-397 (2004). MSC: 65H10 65F35 65M06 65R20 35Q35 45G10 65Z05 76M25 PDFBibTeX XMLCite \textit{D. A. Knoll} and \textit{D. E. Keyes}, J. Comput. Phys. 193, No. 2, 357--397 (2004; Zbl 1036.65045) Full Text: DOI
Lappa, Marcello The growth and the fluid dynamics of protein crystals and soft organic tissues: models and simulations, similarities and differences. (English) Zbl 1464.92101 J. Theor. Biol. 224, No. 2, 225-240 (2003). MSC: 92C40 92C75 35Q92 76D05 PDFBibTeX XMLCite \textit{M. Lappa}, J. Theor. Biol. 224, No. 2, 225--240 (2003; Zbl 1464.92101) Full Text: DOI
Badalassi, V. E.; Ceniceros, H. D.; Banerjee, S. Computation of multiphase systems with phase field models. (English) Zbl 1076.76517 J. Comput. Phys. 190, No. 2, 371-397 (2003). MSC: 76D05 76M25 65M70 35Q30 PDFBibTeX XMLCite \textit{V. E. Badalassi} et al., J. Comput. Phys. 190, No. 2, 371--397 (2003; Zbl 1076.76517) Full Text: DOI
Sethian, J. A. Evolution, implementation, and application of level set and fast marching methods for advancing fronts. (English) Zbl 0988.65095 J. Comput. Phys. 169, No. 2, 503-555 (2001). Reviewer: V.Dolejsi (Praha) MSC: 65M70 35L65 82D37 35R35 86A15 PDFBibTeX XMLCite \textit{J. A. Sethian}, J. Comput. Phys. 169, No. 2, 503--555 (2001; Zbl 0988.65095) Full Text: DOI Link
Osher, Stanley; Fedkiw, Ronald P. Level set methods: An overview and some recent results. (English) Zbl 0988.65093 J. Comput. Phys. 169, No. 2, 463-502 (2001). Reviewer: V.Dolejsi (Praha) MSC: 65M70 76M25 76T30 80A22 35K55 35R35 82C26 82D25 PDFBibTeX XMLCite \textit{S. Osher} and \textit{R. P. Fedkiw}, J. Comput. Phys. 169, No. 2, 463--502 (2001; Zbl 0988.65093) Full Text: DOI Link
Vasiev, Bakhtier; Weijer, Cornelis J. Modelling Dictyostelium discoideum morphogenesis. (English) Zbl 1027.92005 Maini, Philip K. (ed.) et al., Mathematical models for biological pattern formation. New York, NY: Springer. IMA Vol. Math. Appl. 121, 193-209 (2000). MSC: 92C15 35Q92 PDFBibTeX XMLCite \textit{B. Vasiev} and \textit{C. J. Weijer}, IMA Vol. Math. Appl. 121, 193--209 (2000; Zbl 1027.92005)
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo A boundary condition capturing method for Poisson’s equation on irregular domains. (English) Zbl 0958.65105 J. Comput. Phys. 160, No. 1, 151-178 (2000). Reviewer: L.G.Vulkov (Russe) MSC: 65N06 35R05 35J05 PDFBibTeX XMLCite \textit{X.-D. Liu} et al., J. Comput. Phys. 160, No. 1, 151--178 (2000; Zbl 0958.65105) Full Text: DOI Link