Properties of Discrete Delta Functions and Local Convergence of the Immersed Boundary Method

DOI10.1137/110836699zbMath1268.65143OpenAlexW1992984324MaRDI QIDQ4907148

Yang Liu, Yoichiro Mori

Publication date: 4 March 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110836699

zbMATH Keywords

manifoldregularizationfinite difference discretizationpointwise convergenceimmersed boundary methoddiscrete delta functionsmoothing orderconstant coefficient elliptic partial differential equationsmoment order

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Elliptic equations on manifolds, general theory (58J05) Finite difference methods for boundary value problems involving PDEs (65N06) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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