Monomial2D example 6

This example shows the usage of [[Monomial2D_]] class. This example shows the use of Monomials2D on triangles.

Modules and classes

• [[Monomial2D_]]

Usage

PROGRAM main
use easifemBase
use easifemClasses
implicit none
type(Monomial2D_), allocatable :: f1(:), f2(:), f3(:)
integer( i4b ) :: ii, n

!!! note "Monomials2D"

  f1 = Monomials2D( order=1, varname1="x", varname2="y", elemType=Triangle)
  n = size( f1 )
  do ii = 1, n
    call f1(ii)%display( "f(" // tostring(ii) // ")=" )
  end do

!!! example "results"

$$f(1)=1$$ $$f(2)=x^1$$ $$f(3)= y^1$$

!!! note "Monomials2D"

  f2 = Monomials2D( order=2, varname1="x", varname2="y", elemType=Triangle )
  n = size( f2 )
  do ii = 1, n
    call f2(ii)%display( "f(" // tostring(ii) // ")=" )
  end do

!!! example "results"

$$f(1)=1$$ $$f(2)=x^1$$ $$f(3)=x^2$$ $$f(4)= y^1$$ $$f(5)=x^1 y^1$$ $$f(6)= y^2$$

!!! note "Monomials2D"

  f3 = Monomials2D( order=5, varname1="x", varname2="y", elemType=Triangle )
  n = size( f3 )
  do ii = 1, n
    call f3(ii)%display( "f(" // tostring(ii) // ")=" )
  end do

!!! example "results"

$$f(1)=1$$ $$f(2)=x^1$$ $$f(3)=x^2$$ $$f(4)=x^3$$ $$f(5)=x^4$$ $$f(6)=x^5$$ $$f(7)= y^1$$ $$f(8)=x^1 y^1$$ $$f(9)=x^2 y^1$$ $$f(10)=x^3 y^1$$ $$f(11)=x^4 y^1$$ $$f(12)= y^2$$ $$f(13)=x^1 y^2$$ $$f(14)=x^2 y^2$$ $$f(15)=x^3 y^2$$ $$f(16)= y^3$$ $$f(17)=x^1 y^3$$ $$f(18)=x^2 y^3$$ $$f(19)= y^4$$ $$f(20)=x^1 y^4$$ $$f(21)= y^5$$

END PROGRAM main