Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form
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Publication:5134982
DOI10.1137/19M1271099zbMath1452.65355arXiv1906.11436OpenAlexW3098514373MaRDI QIDQ5134982
Publication date: 18 November 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.11436
first-order systemfinite element methodleast-squaresadaptive methoda posteriori error estimatea priori error estimatenondivergence elliptic equation
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)
Related Items (5)
A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs ⋮ A \(C^0\) finite element approximation of planar oblique derivative problems in non-divergence form ⋮ Least-squares methods with nonconforming finite elements for general second-order elliptic equations ⋮ Numerical methods for fully nonlinear and related PDEs. Abstracts from the workshop held June 27 -- July 3, 2021 (hybrid meeting) ⋮ A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form
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