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International Journal of Computer Mathematics Volume 85, 2008 - Issue 3-4: Recent Advances in Computational and Applied Mathematics in Science and Engineering
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Original Articles

Eulerian–Lagrangian time-stepping methods for convection-dominated problems

Mofdi El-Amrani Dpto. Matemática Aplicada, Universidad Rey Juan Carlos, c/Tulipán s/n, 28933, Móstoles-Madrid, SpainCorrespondence[email protected]
&
Mohammed Seaïd Fachbereich Mathematik, Technische Universität Kaiserslautern, D-67663, Kaiserslautern, Germany
Pages 421-439 | Received 18 Oct 2006, Accepted 02 Jan 2007, Published online: 22 Sep 2010

Citations (11)

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Lisha Wang, Wendi Qin & Xiaohua Ding. (2018) Dissipativity of θ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays. International Journal of Computer Mathematics 95:8, pages 1672-1687.
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Articles from other publishers (10)

Mofdi El-Amrani, Loubna Salhi & Mohammed Seaid. (2023) A new Runge–Kutta–Chebyshev Galerkin-characteristic finite element method for advection–dispersion problems in anisotropic porous media. Mathematics and Computers in Simulation 210, pages 184-206.
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Mofdi El-Amrani, Abdellah El Kacimi, Bassou Khouya & Mohammed Seaid. (2023) A Bernstein–Bézier Lagrange–Galerkin method for three-dimensional advection-dominated problems. Computer Methods in Applied Mechanics and Engineering 403, pages 115758.
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Mofdi El-Amrani, Bassou Khouya & Mohammed Seaid. (2022) A semi-Lagrangian Bernstein–Bézier finite element method for two-dimensional coupled Burgers’ equations at high Reynolds numbers. Mathematics and Computers in Simulation 199, pages 160-181.
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Nils Kohl, Marcus Mohr, Sebastian Eibl & Ulrich Rüde. (2022) A Massively Parallel Eulerian-Lagrangian Method for Advection-Dominated Transport in Viscous Fluids. SIAM Journal on Scientific Computing 44:3, pages C260-C285.
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Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid & Naji Yebari. (2022) A Cell-Centered Semi-Lagrangian Finite Volume Method for Solving Two-Dimensional Coupled Burgers’ Equations. Computational and Mathematical Methods 2022, pages 1-18.
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Ilham Asmouh, Mofdi El-Amrani, Mohammed Seaid & Naji Yebari. (2020) A Conservative Semi-Lagrangian Finite Volume Method for Convection–Diffusion Problems on Unstructured Grids. Journal of Scientific Computing 85:1.
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Mofdi El-Amrani & Mohammed Seaïd. (2012) A conjugate gradient algorithm for solving the Galerkin-characteristic approximation of interfacial flows. Applied Numerical Mathematics 62:9, pages 1197-1214.
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Mofdi El‐Amrani & Mohammed Seaïd. (2009) An essentially non‐oscillatory semi‐Lagrangian method for tidal flow simulations. International Journal for Numerical Methods in Engineering 81:7, pages 805-834.
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Mofdi El-Amrani & Mohammed Seaïd. (2009) A Spectral Stochastic Semi-Lagrangian Method for Convection-Diffusion Equations with Uncertainty. Journal of Scientific Computing 39:3, pages 371-393.
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Mofdi El-Amrani & Mohammed Seaid. (2008) A Galerkin-Characteristic Method for Large-Eddy Simulation of Turbulent Flow and Heat Transfer. SIAM Journal on Scientific Computing 30:6, pages 2734-2754.
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