Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem

DOI10.1007/s10915-018-0877-5zbMath1419.65128arXiv1708.08183OpenAlexW2964125668WikidataQ128897433 ScholiaQ128897433MaRDI QIDQ2311992

Zhimin Zhang, Ran Zhang, Qi Long Zhai, Hehu Xie

Publication date: 4 July 2019

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

Full work available at URL: https://arxiv.org/abs/1708.08183

zbMATH Keywords

eigenvalue problemlower boundtwo-grid methodweak Galerkin finite element methodtwo-space method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Dynamics of phase boundaries in solids (74N20) 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) Variational methods for elliptic systems (35J50) A priori estimates in context of PDEs (35B45) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods for higher-order elliptic equations (35J35)

Related Items (11)

Weak Galerkin method for the Stokes equations with damping ⋮ A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem ⋮ A Posteriori Error Estimates for a Modified Weak Galerkin Finite Element Approximation of Second Order Elliptic Problems with DG Norm ⋮ Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering ⋮ Weak Galerkin finite element method for linear elasticity interface problems ⋮ A virtual element method for the Laplacian eigenvalue problem in mixed form ⋮ A hybridized weak Galerkin finite element scheme for linear elasticity problem ⋮ A mixed virtual element method for the vibration problem of clamped Kirchhoff plate ⋮ Discrete maximum principle for the weak Galerkin method on triangular and rectangular meshes ⋮ The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations ⋮ $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

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