Generation of solution-adaptive computational grids using optimization
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Publication:1075744
DOI10.1016/0045-7825(86)90142-8zbMath0592.65081OpenAlexW1999881018MaRDI QIDQ1075744
George S. Dulikravich, Richard Carcaillet, Stephen R. Kennon
Publication date: 1986
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0045-7825(86)90142-8
finite elementfinite differencecomparisonserror reductionlocal orthogonalitycellsolution-adaptive grid generationvolume control
Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (6)
Local block refinement with a multigrid flow solver ⋮ A reliable solver for nonlinear biharmonic equations ⋮ Discretization of free surface flows and other moving boundary problems ⋮ Distortion, degeneracy and rezoning in finite element -- a survey. ⋮ Evaluation of numerical diffusion effects in viscous flow calculations ⋮ Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations
Cites Work
- Conservative rezoning (remapping) for general quadrilateral meshes
- Effective use of numerical optimization in structural design
- Theory of compressible irrotational flows including heat conductivity and longitudinal viscosity
- Adaptive zoning for singular problems in two dimensions
- Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
- The use of solution adaptive grids in solving partial differential equations
- Coordinate system control: Adaptive meshes
- Grid adaption for problems in fluid dynamics
- Grid generation techniques in computational fluid dynamics
- Alternating direction adaptive grid generation
- Extraction methods for second derivatives in finite element approximations of linear elasticity problems
- Error Estimates for Adaptive Finite Element Computations
- Automatic Topology Generation
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