A fourth‐order Hermitian box‐scheme with fast solver for the Poisson problem in a cube

DOI10.1002/num.21807zbMath1316.65094OpenAlexW1993658450MaRDI QIDQ5252264

Ali E. Abbas

Publication date: 29 May 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21807

zbMATH Keywords

computational complexityfinite volume methodfast Fourier transformPoisson problemfast solvernumerical resulthigh-order compact schemebox-schemeHermitian schemeMehrstellenverfahrenmatrix capacitance method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Complexity and performance of numerical algorithms (65Y20) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• A novel iterative direct-forcing immersed boundary method and its finite volume applications
• A fourth order Hermitian box-scheme with fast solver for the Poisson problem in a square
• A Cartesian embedded boundary method for the compressible Navier-Stokes equations
• A Hermitian box-scheme for one-dimensional elliptic equations -- application to problems with high contrasts in the ellipticity
• A general meshsize fourth-order compact difference discretization scheme for 3D Poisson equation
• Fast and high accuracy multigrid solution of the three dimensional Poisson equation
• Existence and computation of low Kronecker-rank approximations for large linear systems of tensor product structure
• Further analysis of the local defect correction method
• A fourth-order accurate local refinement method for Poisson's equation
• High-order compact solvers for the three-dimensional Poisson equation
• Navier-Stokes Equations in Planar Domains
• A Fast Poisson Solver for the Finite Difference Solution of the Incompressible Navier--Stokes Equations
• A Hierarchical 3-D Direct Helmholtz Solver by Domain Decomposition and Modified Fourier Method
• Analysis of local defect correction and high-order compact finite differences
• Hierarchical Kronecker tensor-product approximations
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