A semi-discrete Lagrangian-Eulerian scheme for hyperbolic-transport models
DOI10.1016/j.cam.2021.114011zbMath1503.65160OpenAlexW4200464535WikidataQ115580984 ScholiaQ115580984MaRDI QIDQ2074894
Wanderson Lambert, Jean François, Eduardo Abreu, John Perez
Publication date: 11 February 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.114011
hyperbolic conservation lawssemi-discrete schemeblow-up analysisKruzhkov entropy solutionweak asymptotic analysistotal variation nonincreasing
Flows in porous media; filtration; seepage (76S05) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)
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- Generalized multiscale finite element methods (GMsFEM)
- Approximation of entropy solutions to degenerate nonlinear parabolic equations
- On the sonic point glitch
- On a universal structure for immiscible three-phase flow in virgin reservoirs
- A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws
- Weak asymptotic methods for scalar equations and systems
- A semi-Lagrangian discontinuous Galerkin (DG)-local DG method for solving convection-diffusion equations
- A mass conservative generalized multiscale finite element method applied to two-phase flow in heterogeneous porous media
- Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
- High resolution schemes for hyperbolic conservation laws
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- A locally conservative Eulerian--Lagrangian numerical method and its application to nonlinear transport in porous media
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A class of positive semi-discrete Lagrangian-Eulerian schemes for multidimensional systems of hyperbolic conservation laws
- A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications
- A mixed MoL-TMoL for the numerical solution of the 2D Richards' equation in layered soils
- A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms
- Spectral methods in the presence of discontinuities
- A convergence analysis of generalized multiscale finite element methods
- A new finite volume approach for transport models and related applications with balancing source terms
- Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects
- Application of a conservative, generalized multiscale finite element method to flow models
- A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- A Spectral Method of Characteristics for Hyperbolic Problems
- Central-Upwind Schemes for the Saint-Venant System
- An Adaptive Generalized Multiscale Discontinuous Galerkin Method for High-Contrast Flow Problems
- Fronts in two‐phase porous media flow problems: The effects of hysteresis and dynamic capillarity
- On the Conservation Properties in Multiple Scale Coupling and Simulation for Darcy Flow with Hyperbolic-Transport in Complex Flows
- Second-Order Convergence of Monotone Schemes for Conservation Laws
- Hyperbolic Conservation Laws in Continuum Physics
- Spectral methods for hyperbolic problems
- A locally conservative Eulerian-Lagrangian finite difference method for a parabolic equation
