A Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes

DOI10.1137/19M1278016zbMath1447.65169MaRDI QIDQ3303990

Eun-Jae Park, Li-Na Zhao

Publication date: 5 August 2020

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

linear elasticityfinite volume methoddiscontinuous Galerkin methodstaggered gridlocking-freepolygonal meshrough grid

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) PDEs in connection with mechanics of deformable solids (35Q74) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (8)

A uniformly robust staggered DG method for the unsteady Darcy-Forchheimer-Brinkman problem ⋮ A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis ⋮ A multiscale method for inhomogeneous elastic problems with high contrast coefficients ⋮ A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity ⋮ A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress ⋮ Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number ⋮ Unnamed Item ⋮ A pressure robust staggered discontinuous Galerkin method for the Stokes equations

Uses Software

• Matlab

Cites Work

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