Global second-order immersed interface Poisson solver using zero-order local truncation errors

DOI10.1007/s40590-024-00660-1MaRDI QIDQ6614721

Miguel Uh Zapata, Reymundo Itzá Balam, Jonathan Montalvo-Urquizo

Publication date: 7 October 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

global convergencePoisson equationasymptotic seriessecond-order accuracyimmersed interface methodzero-order local truncation error

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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