FEM2D_POISSON (FORTRAN77 version): Solution of the Poisson equation on a unit box in 2 dimensions. - Uxx - Uyy = F(x,y) in the box U(x,y) = 0 on the boundary. The finite element method is used, with piecewise quadratic basis functions on 6 node triangular elements. The corner nodes of the triangles are generated by an underlying grid whose dimensions are NX = 7 NY = 7 GEOM: Number of unknowns = 121 Number of nodes = 169 Number of elements = 72 GEOM: Total bandwidth is 73 MESH_EPS: An encapsulated PostScript file was created with an image of the nodes and elements. The file is named " fem2d_poisson.eps ". Initial 5 x 5 block of matrix A: Col: 1 2 3 4 5 Row --- 1 5.33333 -1.33333 0. 0. 0. 2 -1.33333 5.33333 -1.33333 0. 0. 3 0. -1.33333 5.33333 -1.33333 0. 4 0. 0. -1.33333 5.33333 -1.33333 5 0. 0. 0. -1.33333 5.33333 Part of right hand side vector: 1 0.122433E-01 2 0.236522E-01 3 0.334493E-01 4 0.409669E-01 5 0.456926E-01 6 0.473045E-01 7 0.456926E-01 8 0.409669E-01 ...... .............. 121 0.122433E-01 Part of the solution vector: 1 0.669998E-01 2 0.129408 3 0.183047 4 0.224142 5 0.250047 6 0.258817 7 0.250047 8 0.224142 ...... .............. 121 0.669998E-01 ********************************************* * * * EROR: * * L2 error = 0.131703E-02 * * H1-seminorm error = 0.600400E-01 * * * ********************************************* SOLUTION_WRITE: Wrote an ASCII file "fem2d_poisson.txt" of the form X(I), Y(I), U(I) which can be contour-plotted using the MATLAB routine FEM2D_POISSON_CONTOUR. FEM2D_POISSON: Normal end of execution.