- #1
vlnikolic
- 3
- 0
hello to all
INTRODUCTION:
i have created application that splits triangles (2d simplex) and tetrahedrons (3d simplex) to
1 triangle -> 3 quadrilaterals
1 tetrahedron -> 4 bricks (8 nodal elements)
my application uses element center of gravity in both cases. and than splits.
for triangle new nodes are in
cogs of edges
cog of triangle
for tetrahedron new nodes are in
cogs of edges
cogs of triangles
cog of tetrahedron
as shown in these pictures:
http://img534.imageshack.us/img534/6105/triangleg.jpg
http://img225.imageshack.us/img225/112/tetrahedron.jpg
QUESTION:
i would like to have mathematical proof that all the new elements
case 1 - quadrilaterals
case 2 - bricks
are convex
when elements are splited in this way.
thank you for your interest very much
INTRODUCTION:
i have created application that splits triangles (2d simplex) and tetrahedrons (3d simplex) to
1 triangle -> 3 quadrilaterals
1 tetrahedron -> 4 bricks (8 nodal elements)
my application uses element center of gravity in both cases. and than splits.
for triangle new nodes are in
cogs of edges
cog of triangle
for tetrahedron new nodes are in
cogs of edges
cogs of triangles
cog of tetrahedron
as shown in these pictures:
http://img534.imageshack.us/img534/6105/triangleg.jpg
http://img225.imageshack.us/img225/112/tetrahedron.jpg
QUESTION:
i would like to have mathematical proof that all the new elements
case 1 - quadrilaterals
case 2 - bricks
are convex
when elements are splited in this way.
thank you for your interest very much
Last edited by a moderator: