Least-Squares Methods for Linear Elasticity
From MaRDI portal
Publication:4653887
DOI10.1137/S0036142902418357zbMath1159.74419OpenAlexW2008004031MaRDI QIDQ4653887
Publication date: 1 March 2005
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142902418357
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15)
Related Items
Nonlinear conjugate gradient method for identifying Young's modulus of the elasticity imaging inverse problem, Quasilinear poroelasticity: Analysis and hybrid finite element approximation, Challenges for the Least-Squares Finite Element Method in Solid Mechanics, Stress-Based Methods for Quasi-Variational Inequalities Associated with Frictional Contact, Adaptive Least-Squares, Discontinuous Petrov-Galerkin, and Hybrid High-Order Methods, Least-Squares Finite Element Formulation for Finite Strain Elasto-Plasticity, Hybrid Mixed Finite Element Formulations Based on a Least-Squares Approach, An equation error approach for the elasticity imaging inverse problem for predicting tumor location, On the spectrum of an operator associated with least-squares finite elements for linear elasticity, Stabilization of low-order mixed finite elements for the plane elasticity equations, First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems, An adaptive mixed least-squares finite element method for viscoelastic fluids of Oldroyd type, The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity, NURBS based least-squares finite element methods for fluid and solid mechanics, Transformations for Piola-mapped elements, A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs, A mixed least‐squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study, Deep Ritz method with adaptive quadrature for linear elasticity, On a relation of discontinuous Petrov-Galerkin and least-squares finite element methods, Stress-Based Finite Element Methods in Linear and Nonlinear Solid Mechanics, Least-Squares Mixed Finite Element Formulations for Isotropic and Anisotropic Elasticity at Small and Large Strains, Least-squares methods with nonconforming finite elements for general second-order elliptic equations, An adaptive least-squares mixed finite element method for the Signorini problem, Equal lower-order finite elements of least-squares type in Biot poroelasticity modeling, An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates, A weighted least-squares finite element method for Phan-Thien-Tanner viscoelastic fluid, How to prove optimal convergence rates for adaptive least-squares finite element methods, Mechanical quadrature methods and extrapolation algorithms for boundary integral equations with linear boundary conditions in elasticity, New Poincaré-type inequalities, A Comparison of Finite Element Spaces for $H$(div) Conforming First-Order System Least Squares, A posteriori error estimates for the primary and dual variables for the div first-order least-squares finite element method, Analysis of a velocity-pressure-pseudostress formulation for the stationary Stokes equations, Mechanical quadrature methods and extrapolation for solving nonlinear problems in elasticity, A priori and a posteriori error analyses of a velocity-pseudostress formulation for a class of quasi-Newtonian Stokes flows, Least-squares solutions as solutions of a perturbation form of the Galerkin methods: interior pointwise error estimates and pollution effect, Analysis of a pseudostress-based mixed finite element method for the Brinkman model of porous media flow, A modified least-squares mixed finite element with improved momentum balance, Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity, A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity, New Residual Based Stabilization Method for the Elasticity Problem, Mixed finite element methods for incompressible flow: Stationary Stokes equations, Unnamed Item, Mixed finite elements of least-squares type for elasticity, Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions, An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity, Least-squares formulations for eigenvalue problems associated with linear elasticity, A weighted collocation on the strong form with mixed radial basis approximations for incompressible linear elasticity, Least-squares mixed finite elements for small strain elasto-viscoplasticity, Pseudo-spectral least squares method for linear elasticity, A least squares method for linear elasticity using a patch reconstructed space, A posteriori error estimation for planar linear elasticity by stress reconstruction, Least-squares methods for elasticity and Stokes equations with weakly imposed symmetry, A Least-Squares Finite Element Reduced Basis Method, Improving Conservation for First-Order System Least-Squares Finite-Element Methods, The Brezzi-Pitkäranta stabilization scheme for the elasticity problem, A New Energy Inversion for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location