A minimum Sobolev norm technique for the numerical discretization of PDEs

DOI10.1016/j.jcp.2015.07.025zbMath1352.65480OpenAlexW1832081235MaRDI QIDQ729292

Hrushikesh N. Mhaskar, Shivkumar Chandrasekaran

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.025

zbMATH Keywords

first-order PDEsGolomb-Weinbergerminimum Sobolev norm

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Infinite-dimensional \(\ell ^1\) minimization and function approximation from pointwise data ⋮ Minimum Sobolev norm interpolation of scattered derivative data

Uses Software

• SuiteSparseQR
• SuitSparseQR

Cites Work

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• Accurate Solution of Structured Least Squares Problems via Rank-Revealing Decompositions
• The Finite Element Method: Theory, Implementation, and Applications
• Algorithm 915, SuiteSparseQR
• Analysis of a Finite Element Method for Maxwell’s Equations
• The Mathematical Theory of Finite Element Methods
• \(L^2\) well-posedness of planar div-curl systems

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