Dimension splitting algorithm for a three-dimensional elliptic equation

DOI10.1080/00207160.2011.631531zbMath1242.65238OpenAlexW2114667717MaRDI QIDQ2887027

Hong-bo Wei, Yan-ren Hou

Publication date: 15 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.631531

zbMATH Keywords

convergencenumerical exampleserror estimateelliptic equationfinite-element methoddimension splitting algorithmparallel solving technology

Mathematics Subject Classification ID

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items (6)

The dimension split element-free Galerkin method for three-dimensional potential problems ⋮ A hybrid improved complex variable element-free Galerkin method for three-dimensional potential problems ⋮ Unnamed Item ⋮ A family of compact finite difference formulations for three-space dimensional nonlinear Poisson's equations in Cartesian coordinates ⋮ Adaptive dimension splitting algorithm for three-dimensional elliptic equations ⋮ Analyzing 3D advection-diffusion problems by using the dimension splitting element-free Galerkin method

Cites Work

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• An asymptotic analysis method for the linearly shell theory
• Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control
• A dimensional splitting method for the linearly elastic shell
• A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine

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