Well-conditioned orthonormal hierarchical \(\mathcal{L}_{2}\) bases on \(\mathbb R^{n }\) simplicial elements

DOI10.1007/s10915-011-9491-5zbMath1242.65245OpenAlexW2029147772MaRDI QIDQ421340

Jianguo Xin, Wei Cai

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10915-011-9491-5

zbMATH Keywords

numerical exampleshierarchical basesmatrix conditioningsimplicial \(\mathcal{L}_{2}\)-conforming elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35)

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Partially discontinuous nodal finite elements for \(H(\mathrm{curl})\) and \(H(\mathrm{div})\)

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