High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

DOI10.4208/AAMM.2014.M618zbMath1488.65647OpenAlexW2401520089MaRDI QIDQ5153676

Lechao Bian, Hong-qiang Lu, Yi-zhao Wu, Kai Cao

Publication date: 30 September 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2014.m618

zbMATH Keywords

discontinuous Galerkin methodselastic deformationcurved mesh generationLagrangian finite element

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

• A study of curved boundary representations for 2D high order Euler solvers
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• High-order accurate discontinuous finite element solution of the 2D Euler equations
• High-order accurate implementation of solid wall boundary conditions in curved geometries

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