Solving Poisson equation with Robin boundary condition on a curvilinear mesh using high order mimetic discretization methods

DOI10.1016/j.matcom.2014.10.004OpenAlexW2011820741MaRDI QIDQ2229098

Mohammad Abouali, José E. Castillo

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.10.004

zbMATH Keywords

Poisson's equationhigher-order methodCastillo-Grone's mimetic operatorsgeneral curvilinear grids

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Numerical analysis (65-XX)

Related Items (4)

High order mimetic difference simulation of unsaturated flow using Richards equation ⋮ Solving the Poisson equation with singularities by the least-squares collocation method ⋮ Solving Navier-Stokes with mimetic operators ⋮ High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem

Uses Software

• Matlab

Cites Work

• An aggregation-based algebraic multigrid method
• Mimetic schemes on non-uniform structured meshes
• The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension
• Unified Curvilinear Ocean Atmosphere Model (UCOAM): a vertical velocity case study
• An Algebraic Multigrid Method with Guaranteed Convergence Rate
• Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

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