Adaptive grid generation based onthe least-squares finite-element method

DOI10.1016/j.camwa.2004.10.006zbMath1066.65097OpenAlexW1993974670MaRDI QIDQ1770676

Xian-Xin Cai, Guojun Liao, Bo-Nan Jiang

Publication date: 7 April 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.10.006

zbMATH Keywords

numerical examplestransport equationGrid deformationLeast-squares finite elements

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

Finite element-fictitious boundary methods (FEM-FBM) for 3D particulate flow ⋮ Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows ⋮ Generation of curvilinear coordinates on multiply connected regions with boundary singularities ⋮ Mesh optimization using an improved self-organizing mechanism ⋮ Numerical analysis and implementational aspects of a new multilevel grid deformation method ⋮ Moving meshes by the deformation method ⋮ Optimal control approach to data set alignment ⋮ Construction of differentiable transformations ⋮ Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method ⋮ Adaptivity with moving grids

Cites Work

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• Least-squares finite elements for the Stokes problem
• Least squares finite element simulation of transonic flows
• On finite element methods of the least squares type
• Level-set-based deformation methods for adaptive grids
• Least-squares finite element methods for compressible Euler equations
• A new approach to grid generation
• On least squares approximations to indefinite problems of the mixed type
• An Adaptive Grid Method and Its Application to Steady Euler Flow Calculations
• Numerical grid generator based on Moser's deformation method
• A moving grid finite‐element method using grid deformation
• Analysis and computation of adaptive moving grids by deformation
• On the Volume Elements on a Manifold