Adaptive dimension splitting algorithm for three-dimensional elliptic equations

DOI10.1080/00207160.2013.878022zbMath1309.65139OpenAlexW1988388557MaRDI QIDQ5175476

Hong-bo Wei, Lina Song, Yan-ren Hou

Publication date: 23 February 2015

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

Full work available at URL: https://doi.org/10.1080/00207160.2013.878022

zbMATH Keywords

algorithmnumerical examplefinite element methodparallel computationa posteriori error estimateadaptive techniquesecond-order elliptic equationdimension splitting algorithm

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

Related Items (1)

Fourth‐order compact scheme based on quasi‐variable mesh for three‐dimensional mildly nonlinear stationary convection–diffusion equations

Uses Software

• TetGen

Cites Work

• Unnamed Item
• Adaptive local postprocessing finite element method for the Navier-Stokes equations
• An asymptotic analysis method for the linearly shell theory
• A posteriori error estimators for the Stokes equations
• A posteriori error estimation and adaptive mesh-refinement techniques
• Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximations using optimal control
• Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations
• Dimension splitting algorithm for a three-dimensional elliptic equation
• A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow
• A dimensional splitting method for the linearly elastic shell
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• A‐posteriori error estimates for the finite element method
• Error Estimates for Adaptive Finite Element Computations
• A dimension split method for the 3-D compressible Navier-Stokes equations in turbomachine

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