A tutorial in elementary finite element error analysis: A systematic presentation of a priori and a posteriori error estimates
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Publication:1817804
DOI10.1016/S0045-7825(97)00230-2zbMath0945.65121OpenAlexW1987865080MaRDI QIDQ1817804
James R. Stewart, Thomas J. R. Hughes
Publication date: 4 January 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00230-2
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (17)
Computational aspects of the mechanics of complex materials ⋮ The multiscale approach to error estimation and adaptivity ⋮ An Introductory Review on A Posteriori Error Estimation in Finite Element Computations ⋮ Numerical Solution of the Wave Propagation Problem in a Plate ⋮ Stabilization in 3‐D FEM and solution of the MHD equations ⋮ A review of VMS a posteriori error estimation with emphasis in fluid mechanics ⋮ Predicting goal error evolution from near-initial-information: a learning algorithm ⋮ A variational multiscale a posteriori error estimation method for mixed form of nearly incompressible elasticity ⋮ Partition of unity refinement for local approximation ⋮ Error estimates and adaptive finite element methods ⋮ A hybrid numerical asymptotic method for scattering problems ⋮ On subgrid multiscale stabilized finite element method for advection-diffusion-reaction equation with variable coefficients ⋮ Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows ⋮ An efficient FEM for pressure analysis of oil film in a piston pump ⋮ Generalized finite element method using proper orthogonal decomposition ⋮ Adaptive FEM analysis of selected elastic-visco-plastic problems ⋮ Composite mesh concept based FEM error estimation and solution improvement
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