Highly accurate numerical solutions with repeated Richardson extrapolation for 2D Laplace equation

DOI10.1016/j.apm.2013.02.043zbMath1426.65154OpenAlexW1981818504MaRDI QIDQ1789042

Cosmo Damião Santiago, Ana Paula da Silveira Vargas, Leandro Alberto Novak, Carlos Henrique Marchi

Publication date: 9 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.02.043

zbMATH Keywords

verificationfinite differencediscretization errorerror estimatororder of accuracynumerical error

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (5)

Robust RRE technique for increasing the order of accuracy of SPH numerical solutions ⋮ Polynomial chaos for random fractional order differential equations ⋮ Completed repeated Richardson extrapolation for compressible fluid flows ⋮ Polynomial interpolation with repeated Richardson extrapolation to reduce discretization error in CFD ⋮ An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation

Uses Software

• Mulprec

Cites Work

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