A Sequential Least Squares Method for Poisson Equation Using a Patch Reconstructed Space

DOI10.1137/19M1239593zbMath1432.65170arXiv1901.06485OpenAlexW3106491186WikidataQ126349429 ScholiaQ126349429MaRDI QIDQ5210549

Ruo Li, Fanyi Yang

Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06485

zbMATH Keywords

Poisson equationpatch reconstructeddiscontinuous least squares finite element methodirrotational polynomial space

Mathematics Subject Classification ID

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)

Related Items (8)

Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation ⋮ The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems ⋮ A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation ⋮ An Arbitrary Order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem ⋮ A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction ⋮ A least squares method for linear elasticity using a patch reconstructed space ⋮ A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form ⋮ The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

Uses Software

• Gmsh
• PolyMesher

Cites Work

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