Convergence of Adaptive Mixed Finite Element Methods for the Hodge Laplacian Equation: Without Harmonic Forms
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Publication:4594910
DOI10.1137/16M1097912zbMath1383.65139arXiv1611.05097OpenAlexW2577596286MaRDI QIDQ4594910
Publication date: 27 November 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.05097
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) Differential complexes (58J10)
Related Items (8)
Multigrid preconditioners for mixed finite element methods of the vector Laplacian ⋮ An extended Galerkin analysis in finite element exterior calculus ⋮ Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors ⋮ Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods ⋮ An adaptive edge element approximation of a quasilinear H(curl)-elliptic problem ⋮ Error analysis of a decoupled finite element method for quad-curl problems ⋮ Some Convergence and Optimality Results of Adaptive Mixed Methods in Finite Element Exterior Calculus ⋮ Error Analysis of Energy-Preserving Mixed Finite Element Methods for the Hodge Wave Equation
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