An arbitrary-order discontinuous Galerkin method with one unknown per element

DOI10.1007/s10915-019-00937-yzbMath1416.74088arXiv1803.00378OpenAlexW3099559215MaRDI QIDQ2316218

Zhijian Yang, Ziyuan Sun, Ruo Li, Pingbing Ming

Publication date: 26 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.00378

zbMATH Keywords

discontinuous Galerkin methodelliptic problemleast-squares reconstruction

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Inverse problems in optimal control (49N45)

Related Items (17)

Reconstructed Discontinuous Approximation to Stokes Equation in a Sequential Least Squares Formulation ⋮ The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems ⋮ A discontinuous Galerkin method for Stokes equation by divergence‐free patch reconstruction ⋮ A reconstructed discontinuous approximation on unfitted meshes to \(H(\mathrm{curl})\) and \(H(\mathrm{div})\) interface problems ⋮ A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation ⋮ A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh ⋮ An Arbitrary Order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem ⋮ Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes ⋮ A numerical study of superconvergence of the discontinuous Galerkin method by patch reconstruction ⋮ A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems ⋮ A Sequential Least Squares Method for Poisson Equation Using a Patch Reconstructed Space ⋮ A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes ⋮ A least squares method for linear elasticity using a patch reconstructed space ⋮ Solving Eigenvalue Problems in a Discontinuous Approximation Space by Patch Reconstruction ⋮ Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form ⋮ Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws ⋮ The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

Uses Software

• Gmsh

Cites Work

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