FEM1D_FUNCTION_10_DISPLAY
Display Piecewise Linear 1D Finite Element Function

FEM1D_FUNCTION_10_DISPLAY is a MATLAB program which reads a prefix defining three finite element data files, reads the data, samples the finite element function, and displays a plot.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Related Data and Programs:

FEM, a data directory of examples of FEM files, a set of three text files that can be used to describe many finite element models;

FEM1D is a MATLAB program which applies the finite element method to a 1D linear two point boundary value problem.

FEM1D_ADAPTIVE is a MATLAB program which applies the finite element method to a 1D linear two point boundary value problem using adaptive refinement to improve the solution.

FEM1D_NONLINEAR is a MATLAB program which applies the finite element method to a 1D nonlinear two point boundary value problem.

FEM1D_PMETHOD is a MATLAB program which applies the p-method version of the finite element method to a 1D linear two point boundary value problem.

Reference:

1. Hans Rudolf Schwarz,
   Methode der Finiten Elemente,
   Teubner Studienbuecher, 1980,
   ISBN: 3-519-02349-0.
2. Gilbert Strang, George Fix,
   An Analysis of the Finite Element Method,
   Cambridge, 1973,
   ISBN: 096140888X,
   LC: TA335.S77.
3. Olgierd Zienkiewicz,
   The Finite Element Method,
   Sixth Edition,
   Butterworth-Heinemann, 2005,
   ISBN: 0750663200.

Source Code:

• dtable_data_read.m, reads a table from a double precision TABLE file.
• dtable_header_read.m, reads a table header from a double precision TABLE file.
• fem1d_function_10_display.m, the main program, which gets the file prefix from the user, reads the files, samples the finite element function, and plots it.
• fem1d_function_10_sample.m, samples the finite element function.
• file_column_count.m, counts the number of columns in the first line of a file.
• file_row_count.m, counts the number of row records in a file.
• itable_data_read.m, reads a table from an integer TABLE file.
• itable_header_read.m, reads a table header from an integer TABLE file.
• s_escape_tex.m, de-escapes TeX escape sequences.
• s_len_trim.m, returns the length of a character string to the last nonblank.
• s_word_count.m, counts the number of words in a string.
• timestamp.m prints the current YMDHMS date as a time stamp.

Examples and Tests:

ARCTAN is an example of a 1D finite element model, using 29 nodes, and piecewise linear elements, in which a scalar value is stored. The exact solution of the problem is the arctangent function. This data was computed by the FEM1D_ADAPTIVE program.

• arctan_nodes.txt
• arctan_elements.txt
• arctan_data.txt
• arctan.png, a PNG image of the MATLAB plot created by FEM1D_FUNCTION_10_DISPLAY.

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