A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of scalar hyperbolic conservation laws

DOI10.1016/j.cma.2020.113654zbMath1506.76068OpenAlexW3121032640WikidataQ115578459 ScholiaQ115578459MaRDI QIDQ2022008

Manuel Colera, Jaime Carpio, Rodolfo Bermejo

Publication date: 27 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113654

zbMATH Keywords

finite element methodhyperbolic conservation lawshigh-order methodstriangular meshesdiscontinuity-capturingLagrange-Galerkin method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (5)

A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems ⋮ A nearly-conservative, high-order, forward Lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes ⋮ A semi-Lagrangian meshfree Galerkin method for convection-dominated partial differential equations ⋮ A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow ⋮ Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative

Uses Software

• Gmsh
• Julia
• A-SLEIPNNIR

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