An adaptive multigrid tool for elliptic and parabolic systems

International Journal for Numerical Methods in Fluids

Volumn 47, Issue 10-11, 2005, Pages 1123-1128

  Jones, Alison C ^a   Jimack, P K ^a  

^a UNIVERSITY OF LEEDS   (United Kingdom)

Author keywords

FAS multigrid; Finite element method; Mesh adaptivity

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; LINEAR EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

ADAPTIVE MULTIGRID TOOLS; ELLIPTIC SYSTEMS; FULL APPROXIMATION STORAGE (FAS); PARABOLIC SYSTEMS;

FLUID DYNAMICS;

FINITE ELEMENT ANALYSIS; PERFORMANCE ASSESSMENT;

EID: 16244415211     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.845     Document Type: Article

References (9)

1. Wheeler AA, Murray BT, Schaefer RJ. Computation of dendrites using a phase field model. Physica D 1993; 66:243-262.
2. Provatas N, Goldenfeld N, Dantzig J. Adaptive mesh refinement computation of solidification microstructures using dynamic data structures. Journal of Computational Physics 1999; 148: 265-290.
3. Gaskell PH, Jimack PK, Sellier M, Thompson HM. Efficient and accurate time adaptive multigrid simulations of droplet spreading. International Journal for Numerical Methods in Fluids 2004; 45:1161-1186.
4. Gupta AK. A finite element for transition from a fine to a coarse grid. International Journal for Numerical Methods in Engineering 1978; 12:35-45.
5. Wang W. Special bilinear quadrilateral elements for locally Refined finite element grids. SIAM Journal on Scientific Computing 2001; 22:2029-2050.
6. Meyer A. Projection techniques embedded in the PCGM for handling hanging nodes and boundary restrictions. In Engineering Computational Technology, Topping BHV, Bittnar Z (eds). Saxe-Coburg Publications: Stirling, Scotland, 2002; 147-165.
7. Brandt A. Multi-level adaptive solutions to boundary-value problems. Mathematics of Computation 1977; 31(138):333-390.
8. Hart L, McCormick S, O'Gallagher A. The fast adaptive composite-grid method (FAC): algorithms for advanced computers. Applied Mathematics and Computation 1986; 19:103-125.
9. Baines MJ, Hubbard ME, Jimack PK, Jones AC. Scale invariant moving finite elements for nonlinear partial differential equations. Applied Numerical Mathematics, 2005, submitted.