A Course in Triangulations for Solving Equations with Deformations

Inhaltsverzeichnis

• 1. Introduction.
• 2. Mathematical Background and Notation.
• 3. Subdivisions and Triangulations.
• 4. Standard Simplex S and Matrix Operations.
• 5. Subdivisions Q of $$ \mathbb{G}^n $$.
• 6. Freudenthal Triangulation F of
  $$
  \mathbb{G}^n
  $$
  , Part I.
• 7. Sandwich Triangulation F|$$ \mathbb{G}^n-1 $$ x [0,1]).
• 8. Triangulation F|rS.
• 9. Squeeze and Shear.
• 10. Freudenthal Triangulation F of $$ \mathbb{G}^n $$, Part II.
• 11. Triangulation F|Q?.
• 12. Juxtapositioning with ?.
• 13. Subdivision P of $$ \mathbb{G}^n $$ x (??,1].
• 14. Coning Transverse Affinely Disjoint Subdivisions.
• 15. Triangulation V of V = cvx((S x 0) u ($$ \mathbb{G}^n $$x 1)).
• 16. Triangulation V[r, p] of S × [0,1] by Restricting, Squeezing, and Shearing V.
• 17. Variable Rate Refining Triangulation S of $$ \mathbb{G}^n $$ x [0,+?] by Juxtapositioning V[r, p]’s.
• 18. S+ an Augmentation of S.
• 19. References.