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FEM1D_LAGRANGE\ 1D Finite Element Code Using Lagrange Basis Polynomials {#fem1d_lagrange-1d-finite-element-code-using-lagrange-basis-polynomials align=”center”} =======================================================

FEM1D_LAGRANGE is a C++ library which sets up the matrices and vectors associated with the finite element method (FEM) solution of a boundary value problem (BVP) -u’‘+u=f(x), using Lagrange basis polynomials.

Licensing: {#licensing align=”center”}

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

Languages: {#languages align=”center”}

FEM1D_LAGRANGE is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

FEM1D, a C++ program which applies the finite element method (FEM) to a 1D linear two point boundary value problem (BVP).

LAGRANGE_INTERP_1D, a C++ library which defines and evaluates the Lagrange polynomial p(x) which interpolates a set of data, so that p(x(i)) = y(i).

Source Code: {#source-code align=”center”}

fem1d_lagrange.cpp, the source code.
fem1d_lagrange.hpp, the include file.

Examples and Tests: {#examples-and-tests align=”center”}

fem1d_lagrange_prb.cpp, a sample calling program.
fem1d_lagrange_prb_output.txt, the output file.

List of Routines: {#list-of-routines align=”center”}

FEM1D_LAGRANGE_STIFFNESS evaluates the Lagrange polynomial stiffness matrix.
LAGRANGE_DERIVATIVE evaluates the Lagrange basis derivative.
LAGRANGE_VALUE evaluates the Lagrange basis polynomials.
LEGENDRE_SET sets abscissas and weights for Gauss-Legendre quadrature.
R8MAT_FS factors and solves a system with one right hand side.
R8VEC_LINSPACE creates a vector of linearly spaced values.
R8VEC_PRINT prints an R8VEC.
TIMESTAMP prints the current YMDHMS date as a time stamp.

You can go up one level to the C++ source codes.

Last revised on 19 November 2014.