fem2d_heat_rectangle_test
fem2d_heat_rectangle_test,
a FORTRAN90 code which
calls fem2d_heat_rectangle(), which
solves the time-dependent 2D heat equation
using the finite element method in space, and a method of
lines in time with the backward Euler approximation for the
time derivative, over a rectangular region with a uniform grid.
Licensing:
The computer code and data files described and made available on this web page
are distributed under
the MIT license
Related Data and codes:
fem2d_heat_rectangle,
a FORTRAN90 code which
uses the finite element method (FEM) to
solve the 2D time dependent heat equation on the unit square,
using a uniform grid of triangular elements.
Source Code:
-
nodes.png,
a PNG image of
the 49 nodes;
-
nodes.txt,
a text file containing a list, for each node, of its X and Y
coordinates;
-
elements.png,
a PNG image of
the 32 elements;
-
elements.txt,
a text file containing a list, for each element, of the six
nodes that compose it;
-
time.txt,
a text file containing the solution times;
-
u0000.txt,
the solution U at time step 0;
-
u0001.txt,
the solution U at time step 1;
-
u0002.txt,
the solution U at time step 2;
-
u0003.txt,
the solution U at time step 3;
-
u0004.txt,
the solution U at time step 4;
-
u0005.txt,
the solution U at time step 5;
-
u0006.txt,
the solution U at time step 6;
-
u0007.txt,
the solution U at time step 7;
-
u0008.txt,
the solution U at time step 8;
-
u0009.txt,
the solution U at time step 9;
-
u0010.txt,
the solution U at time step 10;
The MATLAB code CONTOUR_SEQUENCE4 can make contour
plots from the sequence of solutions:
-
u0000.png,
the solution U at time step 0;
-
u0001.png,
the solution U at time step 1;
-
u0002.png,
the solution U at time step 2;
-
u0003.png,
the solution U at time step 3;
-
u0004.png,
the solution U at time step 4;
-
u0005.png,
the solution U at time step 5;
-
u0006.png,
the solution U at time step 6;
-
u0007.png,
the solution U at time step 7;
-
u0008.png,
the solution U at time step 8;
-
u0009.png,
the solution U at time step 9;
-
u0010.png,
the solution U at time step 10;
Last revised on 08 July 2020.