fem1d_pack

fem1d_pack, a MATLAB code which contains utilities for implementing the finite element method in a 1D region.

Licensing:

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

Languages:

fem1d_pack is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

fem1d, a data directory which contains examples of 1d fem files, text files that describe a 1d finite element model and associated nodal values.

fem1d, a MATLAB code which applies the finite element method to a 1d linear two point boundary value problem.

fem1d_adaptive, a MATLAB code which applies the finite element method to a 1d linear two point boundary value problem using adaptive refinement to improve the solution.

fem1d_bvp_linear, a MATLAB code which applies the finite element method, with piecewise linear elements, to a two point boundary value problem in one spatial dimension.

fem1d_display, a MATLAB code which reads three files defining a 1d arbitrary degree finite element function, and displays a plot.

fem1d_function_10_display, a MATLAB code which reads three files defining a 1d piecewise linear finite element function and displays a plot.

fem1d_nonlinear, a MATLAB code which applies the finite element method to a 1d nonlinear two point boundary value problem.

fem1d_pack_test

fem1d_pmethod, a MATLAB code which applies the p-method version of the finite element method to a 1d linear two point boundary value problem.

fem1d_project, a MATLAB code 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.

fem1d_sample, a MATLAB code which samples a scalar or vector finite element function of one variable, defined by fem files, returning interpolated values at the sample points.

fem2d_pack, a MATLAB code which contains utilities for 2d finite element calculations.

fem3d_pack, a MATLAB code which contains utilities for 3d finite element calculations.

Reference:

1. Hans Rudolf Schwarz,
   Finite Element Methods,
   Academic Press, 1988,
   ISBN: 0126330107,
   LC: TA347.F5.S3313.
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,
   LC: TA640.2.Z54

Source Code:

• bandwidth_mesh.m computes the bandwidth associated with the finite element mesh;
• legendre_com.m computes abscissas and weights for Gauss-Legendre quadrature.
• local_basis_1d.m evaluates the basis functions in an element.
• local_basis_prime_1d.m evaluates the basis function derivatives in an element.
• local_fem_1d.m evaluates a local finite element function.