Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for <scp>1D</scp> hyperbolic problems-Reference-Cited by-同舟云学术

Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems

Published:2022-12-26 Issue:3 Volume:39 Page:2400-2443
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numerical Methods Partial

Author:

Abreu Eduardo¹,Espírito Santo Arthur²^ORCID,Lambert Wanderson³,Pérez John⁴

Affiliation:

1. IMECC ‐ Departamento de Matemática Aplicada, Universidade Estadual de Campinas Campinas São Paulo Brazil

2. IME ‐ Departamento de Matemática Pura e Aplicada, Universidade Federal do Rio Grande do Sul Porto Alegre Rio Grande do Sul Brazil

3. Instituto de Ci∖xEAncia e Tecnologia, Universidade Federal de Alfenas Poços de Caldas Minas Gerais Brazil

4. Departamento de Ciencias Basicas, Instituto Tecnológico Metropolitano Medellín Colombia

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de São Paulo

Petrobras

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22972

Reference43 articles.

1. Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects

2. Weak asymptotic methods for scalar equations and systems

3. Approximation of entropy solutions to degenerate nonlinear parabolic equations

4. On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach*

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