Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

DOI10.4208/NMTMA.2011.M12SI02zbMath1265.65251arXiv1111.1167OpenAlexW2963513900WikidataQ128348594 ScholiaQ128348594MaRDI QIDQ4900834

Armando Coco

Publication date: 24 January 2013

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1167

zbMATH Keywords

convergence interface numerical tests iterative method multigrid ghost fluid method second-order accuracy elliptic equation discontinuous coefficient

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

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