On the invertibility of mappings arising in 2D grid generation problems

Numerische Mathematik

Volumn 73, Issue 1, 1996, Pages 37-51

  Clement Ph ^a   Hagmeijer, R ^b   Sweers, G ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b NATIONAL AEROSPACE LABORATORY NLR   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040754068     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050182     Document Type: Article

References (13)

1. Deimling, K. (1985): Nonlinear Functional Analysis. Springer. Berlin
2. nd edition, Springer, Berlin Heidelberg New York Tokyo
3. Hagmeijer, R.: Grid adaption based on modified anisotropic diffusion equations formulated in the parametric domain. J. Comp. Phys. (to appear)
4. Hagmeijer, R., de Cock, K.M.J. (1993): Grid adaption in computational aerodynamics. Multiblock Grid Generation. Notes on Numerical Fluid Mechanics, Vieweg
5. Hagmeijer, R., de Cock. K.M.J. (1992): Grid adaption for problems in computational fluid dynamics. Proceedings First European Fluid Dynamics Conference, Brussels
6. Kellogg, O.D. (1929): Foundations of potential theory. Springer. Berlin Heidelberg New York (reprint 1967)
7. Mastin, Thompson, J.F. (1978): Elliptic systems and numerical transformations. J. Math. Anal. Appl. 62, 52-62
8. Mastin, C.W., Thompson, J.F. (1978): Transformation of three-dimensional regions onto rectangular regions by elliptic systems. Numer. Math. 29, 397-407
9. Protter, M.H., Weinberger, H.F. (1967): Maximum principles in differential equations. Prentice Hall, Englewood Cliffs N.J.
10. Schulz, F. (1990): Regularity theory for quasilinear elliptic systems and Monge-Ampère Equations in two dimensions. Springer Lecture Notes 1445
11. Thompson, J.F., Warsi, Z.U.A : Three-dimensional grid generation from elliptic systems. AIAA 83-1905
12. Warsi, Z.U.A (1982): Basic differential models for coordinate generation. In: Thompson, J.F. ed., Numerical grid generation. NorthHolland
13. Winslow, A. (1981): Adaptive mesh zoning by the equipotential method. UCID-19062, Lawrence Livermore National Laboratories, University of California