A primal formulation for the Helmholtz decomposition

DOI10.1016/j.jcp.2007.04.002zbMath1201.65211OpenAlexW2061893170MaRDI QIDQ996481

Mejdi Aza ıïez, Etienne Ahusborde, Jean Paul Caltagirone

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.04.002

zbMATH Keywords

Helmholtz decompositionstable approximationgrad(div) operator

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

Application of discrete mechanics model to jump conditions in two-phase flows ⋮ Discrete vector calculus and Helmholtz Hodge decomposition for classical finite difference summation by parts operators

Cites Work

• A remark on spurious eigenvalues in a square
• Staggered grid hybrid-dual spectral element method for second-order elliptic problems. Application to high-order time splitting methods for Navier-Stokes equations
• On a stable spectral method for the grad(div) eigenvalue problem
• Mixed and Hybrid Finite Element Methods
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• Sur une méthode de projection vectorielle pour la résolution des équations de Navier-Stokes
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