fem1d_approximate

fem1d_approximate, a MATLAB library which uses a given finite element mesh and piecewise linear basis functions to approximate a set of data points, while controlling the variation in the derivative.

A least-squares approach is used. The user can supply weights to the approximation, derivative, and boundary conditions.

Licensing:

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

Languages:

fem1d_approximate is available in a MATLAB version.

Related Programs:

fem1d_approximate_test

fem1d_bvp_linear, a MATLAB program which applies the finite element method (FEM), with piecewise linear elements, to a two point boundary value problem (BVP) in one spatial dimension, and compares the computed and exact solutions with the L2 and seminorm errors.

fem1d_project, a MATLAB program which projects data into a finite element space, including the least squares approximation of data, or the projection of a finite element solution from one mesh to another.

Source Code:

• data_bracket.m brackets data between successive entries of a sorted vector.
• fem1d_approximate.m, approximates data with a finite element function.
• r8vec_print.m, prints an R8VEC.
• r8vec2_print.m, prints an R8VEC2.
• s_escape_tex.m, de-escapes TeX escape sequences.
• timestamp.m, prints the current YMDHMS date as a timestamp;