Cengizci, Süleyman; Uğur, Ömür SUPG formulation augmented with YZ\(\beta\) shock-capturing for computing shallow-water equations. (English) Zbl 07824689 ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202200232, 18 p. (2023). MSC: 76Mxx 65Mxx 76Bxx PDFBibTeX XMLCite \textit{S. Cengizci} and \textit{Ö. Uğur}, ZAMM, Z. Angew. Math. Mech. 103, No. 6, Article ID e202200232, 18 p. (2023; Zbl 07824689) Full Text: DOI
Ciallella, Mirco; Torlo, Davide; Ricchiuto, Mario Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation. (English) Zbl 07708330 J. Sci. Comput. 96, No. 2, Paper No. 53, 28 p. (2023). MSC: 65Mxx 76Mxx 76Bxx PDFBibTeX XMLCite \textit{M. Ciallella} et al., J. Sci. Comput. 96, No. 2, Paper No. 53, 28 p. (2023; Zbl 07708330) Full Text: DOI arXiv
Zeng, Xianyi; Stabile, Giovanni; Karatzas, Efthymios N.; Scovazzi, Guglielmo; Rozza, Gianluigi Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method. (English) Zbl 1507.76128 Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022). MSC: 76M10 65N30 76B15 PDFBibTeX XMLCite \textit{X. Zeng} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022; Zbl 1507.76128) Full Text: DOI arXiv
Torabi, Mina; Hosseini, Mohammad-Mehdi A new efficient method for the numerical solution of linear time-dependent partial differential equations. (English) Zbl 1432.65159 Axioms 7, No. 4, Paper No. 70, 13 p. (2018). MSC: 65M70 65T60 PDFBibTeX XMLCite \textit{M. Torabi} and \textit{M.-M. Hosseini}, Axioms 7, No. 4, Paper No. 70, 13 p. (2018; Zbl 1432.65159) Full Text: DOI
Song, T.; Main, A.; Scovazzi, G.; Ricchiuto, M. The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows. (English) Zbl 1392.76010 J. Comput. Phys. 369, 45-79 (2018). MSC: 76D27 76M30 35Q35 35L50 PDFBibTeX XMLCite \textit{T. Song} et al., J. Comput. Phys. 369, 45--79 (2018; Zbl 1392.76010) Full Text: DOI HAL
Song, T.; Scovazzi, G. A Nitsche method for wave propagation problems in time domain. (English) Zbl 1423.35072 Comput. Methods Appl. Mech. Eng. 293, 481-521 (2015). MSC: 35F46 35L50 35Q35 76M10 65M60 PDFBibTeX XMLCite \textit{T. Song} and \textit{G. Scovazzi}, Comput. Methods Appl. Mech. Eng. 293, 481--521 (2015; Zbl 1423.35072) Full Text: DOI
Scovazzi, Guglielmo; Carnes, Brian R. Weak boundary conditions for wave propagation problems in confined domains: formulation and implementation using a variational multiscale method. (English) Zbl 1253.65153 Comput. Methods Appl. Mech. Eng. 221-222, 117-131 (2012). MSC: 65M60 35L10 74S05 74J99 PDFBibTeX XMLCite \textit{G. Scovazzi} and \textit{B. R. Carnes}, Comput. Methods Appl. Mech. Eng. 221--222, 117--131 (2012; Zbl 1253.65153) Full Text: DOI
Takase, Shinsuke; Kashiyama, Kazuo; Tanaka, Seizo; Tezduyar, Tayfun E. Space-time SUPG finite element computation of shallow-water flows with moving shorelines. (English) Zbl 1398.76126 Comput. Mech. 48, No. 3, 293-306 (2011). MSC: 76M10 74F10 76D05 76Z05 65Y05 PDFBibTeX XMLCite \textit{S. Takase} et al., Comput. Mech. 48, No. 3, 293--306 (2011; Zbl 1398.76126) Full Text: DOI
Yabe, Takashi; Ogata, Youichi Conservative semi-Lagrangian CIP technique for the shallow water equations. (English) Zbl 1301.76060 Comput. Mech. 46, No. 1, 125-134 (2010). MSC: 76M25 65M06 76B15 76U05 PDFBibTeX XMLCite \textit{T. Yabe} and \textit{Y. Ogata}, Comput. Mech. 46, No. 1, 125--134 (2010; Zbl 1301.76060) Full Text: DOI
Bunya, Shintaro; Kubatko, Ethan J.; Westerink, Joannes J.; Dawson, Clint A wetting and drying treatment for the Runge-Kutta discontinuous Galerkin solution to the shallow water equations. (English) Zbl 1227.76026 Comput. Methods Appl. Mech. Eng. 198, No. 17-20, 1548-1562 (2009). MSC: 76M10 76M20 76B10 PDFBibTeX XMLCite \textit{S. Bunya} et al., Comput. Methods Appl. Mech. Eng. 198, No. 17--20, 1548--1562 (2009; Zbl 1227.76026) Full Text: DOI
Roig, Bernardino One-step Taylor-Galerkin methods for convection-diffusion problems. (English) Zbl 1113.65094 J. Comput. Appl. Math. 204, No. 1, 95-101 (2007). MSC: 65M60 65M12 35K15 PDFBibTeX XMLCite \textit{B. Roig}, J. Comput. Appl. Math. 204, No. 1, 95--101 (2007; Zbl 1113.65094) Full Text: DOI
Franca, Leopoldo P.; Hauke, Guillermo; Masud, Arif Revisiting stabilized finite element methods for the advective-diffusive equation. (English) Zbl 1122.76054 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1560-1572 (2006). MSC: 76M10 76R99 76-02 PDFBibTeX XMLCite \textit{L. P. Franca} et al., Comput. Methods Appl. Mech. Eng. 195, No. 13--16, 1560--1572 (2006; Zbl 1122.76054) Full Text: DOI
Alvarez-Vázquez, L. J.; Martínez, A.; Muñoz-Sola, R.; Rodríguez, C.; Vázquez-Mendez, M. E. The water conveyance problem: optimal purification of polluted waters. (English) Zbl 1089.49037 Math. Models Methods Appl. Sci. 15, No. 9, 1393-1416 (2005). MSC: 49N90 49K20 76D55 93C20 49M05 PDFBibTeX XMLCite \textit{L. J. Alvarez-Vázquez} et al., Math. Models Methods Appl. Sci. 15, No. 9, 1393--1416 (2005; Zbl 1089.49037) Full Text: DOI
Venutelli, Maurizio Time-stepping Padé–Petrov–Galerkin models for hydraulic jump simulation. (English) Zbl 1113.76092 Math. Comput. Simul. 66, No. 6, 585-604 (2004). MSC: 76S05 76M10 65M12 65M60 PDFBibTeX XMLCite \textit{M. Venutelli}, Math. Comput. Simul. 66, No. 6, 585--604 (2004; Zbl 1113.76092) Full Text: DOI
Huerta, Antonio; Donea, Jean Time-accurate solution of stabilized convection-diffusion-reaction equations. I: Time and space discretization. (English) Zbl 1003.65113 Commun. Numer. Methods Eng. 18, No. 8, 565-573 (2002). MSC: 65M60 35K57 65M12 PDFBibTeX XMLCite \textit{A. Huerta} and \textit{J. Donea}, Commun. Numer. Methods Eng. 18, No. 8, 565--573 (2002; Zbl 1003.65113) Full Text: DOI Link
Kashiyama, Kazuo; Tamai, Tsukasa; Inomata, Wataru; Yamaguchi, Satoshi A parallel finite element method for incompressible Navier-Stokes flows based on unstructured grids. (English) Zbl 0973.76050 Comput. Methods Appl. Mech. Eng. 190, No. 3-4, 333-344 (2000). MSC: 76M10 76D05 65Y05 PDFBibTeX XMLCite \textit{K. Kashiyama} et al., Comput. Methods Appl. Mech. Eng. 190, No. 3--4, 333--344 (2000; Zbl 0973.76050) Full Text: DOI
Donea, J.; Roig, B.; Huerta, A. High-order accurate time-stepping schemes for convection-diffusion problems. (English) Zbl 0984.76044 Comput. Methods Appl. Mech. Eng. 182, No. 3-4, 249-275 (2000). MSC: 76M10 76R99 PDFBibTeX XMLCite \textit{J. Donea} et al., Comput. Methods Appl. Mech. Eng. 182, No. 3--4, 249--275 (2000; Zbl 0984.76044) Full Text: DOI
Kashiyama, Kazuo; Saitoh, Katsuya; Behr, Marek; Tezduyar, Tayfun E. Parallel finite element methods for large-scale computation of storm surges and tidal flows. (English) Zbl 0881.76052 Int. J. Numer. Methods Fluids 24, No. 12, 1371-1389 (1997). MSC: 76M10 76B15 86A05 65Y05 PDFBibTeX XMLCite \textit{K. Kashiyama} et al., Int. J. Numer. Methods Fluids 24, No. 12, 1371--1389 (1997; Zbl 0881.76052) Full Text: DOI
Tezduyar, T.; Aliabadi, S.; Behr, M.; Johnson, A.; Kalro, V.; Litke, M. Flow simulation and high performance computing. (English) Zbl 0893.76046 Comput. Mech. 18, No. 6, 397-412 (1996). Reviewer: P.K.Mahanti (Ranchi) MSC: 76M10 76N10 76F10 76-02 PDFBibTeX XMLCite \textit{T. Tezduyar} et al., Comput. Mech. 18, No. 6, 397--412 (1996; Zbl 0893.76046) Full Text: DOI