Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations

DOI10.1137/090772095zbMath1229.65207OpenAlexW2072328809MaRDI QIDQ3091796

Christopher M. Siefert, Pavel B. Bochev, Kara J. Peterson

Publication date: 14 September 2011

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

Full work available at URL: https://semanticscholar.org/paper/d6dffdd3c85934296e837accbd70e27028fe33e0

zbMATH Keywords

stabilityconvergencenumerical resultsface elementsedge elementsleast-squares finite element methodcompatible discretizationsdiv-curl boundary value problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) 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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electro- and magnetostatics (78A30)

Related Items (8)

A weak Galerkin least-squares finite element method for div-curl systems ⋮ A new numerical method for div-curl systems with low regularity assumptions ⋮ Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes ⋮ A DPG method for planar div-curl problems ⋮ Spectral Mimetic Least-Squares Method for Div-curl Systems ⋮ A scalable, matrix-free multigrid preconditioner for finite element discretizations of heterogeneous Stokes flow ⋮ A discontinuous Galerkin least-squares method for div-curl systems ⋮ An \(L^p\)-primal-dual weak Galerkin method for div-curl systems

Uses Software

• Trilinos
• ML

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