Numerical Methods And Software Tools In Industrial Mathematics
by A. Tveito /
1997 / English / PDF
13.4 MB Download
13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned
Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286
13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical
Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299
14 Surface Modelling from Scattered Geological Data 301 N. P.
Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . .
. . 301 14. 2 Description of Geological Data 302 14. 3
Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . .
. . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . .
. . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale
Surfaces in Geographic Information Systems 317 G. Misund 15. 1
Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of
Variable Resolution . . . . 318 15. 3 Surface Varioscaling by
Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . .
. . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data
329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary
Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . .
. . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4
Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6
Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data
Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1
Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . .
. . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The
Improved Douglas Method 353 17. 5 Numerical Examples . . . . . .
360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . .
361 18 Aspects of Algorithms for Manifold Intersection 365 T.
Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2
Basic Concepts Used . . . . . . . . . .
13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned
Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286
13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical
Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299
14 Surface Modelling from Scattered Geological Data 301 N. P.
Fremming, @. Hjelle, C. Tarrou 14. 1 Introduction. . . . . . . . .
. . 301 14. 2 Description of Geological Data 302 14. 3
Triangulations . . . . . . . . 304 14. 4 Regular Grid Models . . .
. . 306 14. 5 A Composite Surface Model. 307 14. 6 Examples . . . .
. . 312 14. 7 Concluding Remarks. . . . . 314 15 Varioscale
Surfaces in Geographic Information Systems 317 G. Misund 15. 1
Introduction. . . . . . . . . . . . . . . 317 15. 2 Surfaces of
Variable Resolution . . . . 318 15. 3 Surface Varioscaling by
Normalization 320 15. 4 Examples . . . 323 15. 5 Final Remarks . .
. . . . . . . . . . . 327 16 Surface Modelling from Biomedical Data
329 J. G. Bjaalie, M. Dtllhlen, T. V. Stensby 16. 1 Boundary
Polygons. . . . . . . . . . . 332 16. 2 Curve Approximation . . . .
. . . . . 333 16. 3 Reducing Twist in the Closed Surface 336 16. 4
Surface Approximation. 337 16. 5 Open Surfaces. . . . 339 16. 6
Examples . . . . . . 340 16. 7 Concluding Remarks 344 17 Data
Reduction of Piecewise Linear Curves 347 E. Arge, M. Dtllhlen 17. 1
Introduction. . . . . . . . . . . 347 17. 2 Preliminaries . . . . .
. . . . . 349 17. 3 The Intersecting Cones Method 351 17. 4 The
Improved Douglas Method 353 17. 5 Numerical Examples . . . . . .
360 17. 6 Resolution Sorting . . . . . . . . . . . . . . . . . .
361 18 Aspects of Algorithms for Manifold Intersection 365 T.
Dokken 18. 1 Introduction . . . . . . . . . . . . . . . 365 18. 2
Basic Concepts Used . . . . . . . . . .