Superconvergent HDG methods for linear elasticity with weakly symmetric stresses
From MaRDI portal
Publication:2841053
DOI10.1093/imanum/drs020zbMath1441.74235OpenAlexW2130665809MaRDI QIDQ2841053
Publication date: 24 July 2013
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1093/imanum/drs020
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12)
Related Items
Local analysis of HDG methods for convection-dominated diffusion problems, An HDG method for convection diffusion equation, The pursuit of a dream, Francisco Javier Sayas and the HDG methods, A robust weak Galerkin finite element method for linear elasticity with strong symmetric stresses, Hybridized discontinuous Galerkin methods for wave propagation, A class of embedded discontinuous Galerkin methods for computational fluid dynamics, Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids, Discontinuous Galerkin methods with staggered hybridization for linear elastodynamics, A hybridizable discontinuous Galerkin formulation for non-linear elasticity, Hybrid coupling of CG and HDG discretizations based on Nitsche's method, A hybridizable discontinuous Galerkin method for modeling fluid-structure interaction, An HDG method for linear elasticity with strong symmetric stresses, Optimal second order rectangular elasticity elements with weakly symmetric stress, Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation, Analysis of an HDG method for linear elasticity, Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor, Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions, An unfitted HDG method for a distributed optimal control problem, An interface/boundary-unfitted eXtended HDG method for linear elasticity problems, A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress, A hybridizable discontinuous Galerkin generalized multiscale finite element method for highly heterogeneous linear elasticity problems, Superconvergence by $M$-decompositions. Part I: General theory for HDG methods for diffusion, A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation, An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity, An a-priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual-mixed formulations: Poisson and Stokes problems, A priori and a posteriori error analyses of an HDG method for the Brinkman problem, A Staggered Cell-Centered DG Method for Linear Elasticity on Polygonal Meshes, Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\), A hybridizable discontinuous Galerkin method for both thin and 3D nonlinear elastic structures, Supercloseness of primal-dual Galerkin approximations for second order elliptic problems, The stabilized mixed finite element scheme of elasticity problem, A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity, Mortar DG Method with Staggered Hybridization for Rayleigh Waves Simulation, Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity, A weakly compressible hybridizable discontinuous Galerkin formulation for fluid-structure interaction problems, New analytical tools for HDG in elasticity, with applications to elastodynamics, A Multipoint Stress Mixed Finite Element Method for Elasticity on Simplicial Grids, Superconvergence of discontinuous Galerkin methods for elliptic boundary value problems, Analysis on an HDG method for the \(p\)-Laplacian equations, A stabilized hybrid discontinuous Galerkin method for the Cahn-Hilliard equation, Hybridization of the virtual element method for linear elasticity problems, Analysis of the HDG method for the stokes–darcy coupling, Analysis of a staggered discontinuous Galerkin method for linear elasticity