Fast discrete Helmholtz-Hodge decompositions in bounded domains

DOI10.1016/j.aml.2012.11.006zbMath1261.65126OpenAlexW2021307415MaRDI QIDQ1940684

Pierre Fabrie, Philippe Angot, Jean Paul Caltagirone

Publication date: 7 March 2013

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.11.006

zbMATH Keywords

algorithmsnumerical resultserror estimateserror analysispenalty methoddivergence-freecurl-freevector penalty-projection\(\mathbf {grad(div)}\) operator\(\mathbf {rot(rot)}\) operatorboundary-value elliptic problemsconjugate-gradient iterationsHelmholtz-Hodge decompositionsPDEs with adapted right-hand sidesrotational penalty-projection

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Iterative numerical methods for linear systems (65F10)

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