linear interpolation:
interpolating polynomial function:
u(![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
N1(![]() ![]() |
= | (1 - ![]() ![]() |
|
N2(![]() ![]() |
= | ![]() ![]() |
|
N3(![]() ![]() |
= | ![]() ![]() |
|
N4(![]() ![]() |
= | ![]() ![]() |
quadratic interpolation:
interpolating polynomial function:
u(![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
|||
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
N1(![]() ![]() |
= | (1 - ![]() ![]() ![]() ![]() |
|
N2(![]() ![]() |
= | - ![]() ![]() ![]() ![]() |
|
N3(![]() ![]() |
= | - ![]() ![]() ![]() ![]() |
|
N4(![]() ![]() |
= | - ![]() ![]() ![]() ![]() |
|
N5(![]() ![]() |
= | 4![]() ![]() ![]() |
|
N6(![]() ![]() |
= | 4![]() ![]() ![]() |
|
N7(![]() ![]() |
= | 4![]() ![]() ![]() |
|
N8(![]() ![]() |
= | 4![]() ![]() ![]() |