>> ffs_sparse ( 'nodes6.txt', 'triangles6.txt' ) 09-Oct-2006 12:34:21 FFS_SPARSE (MATLAB version): A version of FREE_FEM_SPARSE using MATLAB's sparse matrix storage, factor and solve facilities. Finite element solution of the steady incompressible Stokes equations on a triangulated region in 2 dimensions. - nu * ( Uxx + Uyy ) + dPdx = F1(x,y) - nu * ( Vxx + Vyy ) + dPdy = F2(x,y) Ux + Vy = F3(x,y). Boundary conditions may be of Dirichlet type: U(x,y) = U_BC(x,y) V(x,y) = V_BC(x,y) P(x,y) = P_BC(x,y) or of Neumann type with zero right hand side: dU/dn(x,y) = 0 dV/dn(x,y) = 0 dP/dn(x,y) = 0 The finite element method uses Taylor-Hood triangular elements which are linear for pressure and quadratic for velocity. Fluid viscosity NU = 1.000000: Current status: * testing zero Neumann condition option. Node file is "nodes6.txt". Element file is "triangles6.txt". Number of nodes = 8185 First 10 nodes Row: 1 2 Col 1 0.000000 0.000000 2 0.000000 1.000000 3 0.000000 0.500000 4 0.000000 0.143160 5 0.000000 0.856840 6 0.000000 0.233640 7 0.000000 0.766360 8 0.000000 0.063210 9 0.000000 0.936790 10 0.000000 0.299300 Element order = 6 Number of elements = 4000 First 10 elements Row: 1 2 3 4 5 6 Col 1 1 22 24 58 59 60 2 22 1 195 58 61 224 3 24 23 16 62 63 64 4 23 24 22 62 59 65 5 22 193 23 225 226 65 6 342 193 22 362 225 227 7 342 195 480 228 363 364 8 23 193 196 226 229 230 9 343 193 342 365 362 366 10 342 484 343 367 516 366 Quadrature order = 3 Dirichlet boundary condition on pressure will be applied at node 1 Number of Neumann conditions added = Boundary conditions per node: Node U_cond V_cond P_cond 1 2 2 2 2 2 2 1 3 2 2 1 4 2 2 1 5 2 2 1 6 2 2 1 7 2 2 1 8 2 2 1 9 2 2 1 10 2 2 1 11 2 2 1 12 2 2 1 13 2 2 1 14 2 2 1 15 2 2 1 16 2 2 1 17 2 2 1 18 2 2 1 19 2 2 1 20 2 2 1 21 2 2 1 22 1 1 1 23 1 1 1 24 2 2 1 25 1 1 1 26 1 1 1 27 2 2 1 28 1 1 1 29 1 1 1 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