MODEL CODE EXAMPLES BY EXACT_CASE NUMBER (B) means equation only exact for Dirichlet BC (use_exact_bc) (I) means exact results in my_exact_inc file (R) means exact results are in data remarks (S) means discussed in Selected Solutions ------------------------------- ------- ------- -------- -------------------- Subject Example DataSet Exact_Case or Equation Number Numb(S) Number(R,B) Remark ------------------------------- ------- ------- -------- -------------------- ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 01 1 Convection_Conduction ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 02 1 Foundation_Pile ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 03 1 Convection_Conduct_MPC ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 04 1 Convection_Conduct_Flux ODE:K*A_U,xx-H*P(U-U_ext)-Q_e 108 02 1 Bar_cond_conv Heat_and_Mass_Transfer_L2 114 01 1 108_2_no_m_dot Poisson_Eq_anisotropic 202 01 2 Whiteman_Lakhany_T6 none 2xx 00 3 POISSON_SQ_W_SOURCE Poisson_Eq_Source_(xy) 202 13 4 Strong_diagonal_T6 Poisson_Eq_anisotropic 202 02 5 Annulus_EBC Poisson_Eq_anisotropic 202 03 5 Annulus_Flux_EBC Poisson_Eq_anisotropic 202 04 5 Annulus_Flux_EBC_NBC none 2xx 00 6 NAFEMS_CONVECTION none 2xx 00 7 CYL_POTENTIAL_FLOW Poisson_Eq_anisotropic 202 05 8 Patch_test_2nd_derivs Poisson_Eq_anisotropic 202 06 8 Patch_test_2nd_Q_exact ODE:u"_+_u_+_x_=_0 104 01 9 EBCs_6_L2_elements ODE:u"_+_u_+_x_=_0 104 02 9 EBC_Flux_6_L2_elements ODE:u"_+_u_+_x_=_0 104 04 9 EBCs_3_L3_elements ODE:u"_+_u_+_x_=_0 104 05 9 EBCs_2_L4_elements ODE:u"_+_u_+_x_=_0 104 06 9 EBCs_1_L4_Global_est ODE:u"_+_u_+_x_=_0 104 07 9 EBCs_1_L2_2_L3_elems ODE:u"_+_u_+_x_=_0 104 03 10 EBC_NBC_6_L2_elements ODE:u"_+_Q(x)_=_0 105 01 11 Q_=x^N_6_L2_elems ODE:u"_+_Q(x)_=_0 105 02 11 Q_=x^N_2_L4_elems none 2xx 00 12 PATCH_TEST_2D_STRESS none 2xx 00 13 PATCH_AXI_SYM_STRESS ODE:u"_+_Q(x)_=_0 105 03 14 Q_step_1_to_0_EBCs ODE:u"_+_Q(x)_=_0 105 04 14 Q_step_non_homogeneous ODE:K*A_U,xx-H*P(U-U_ext)-Q_e 108 03 14 Bar_Q_step_1_to_0 ODE:u"_+_f1_u'_+_f2_u_=f3 106 01 15 EBC_only_unsymmetric ODE:u"_+_f1_u'_+_f2_u_=f3 107 01 15 Least_Sq_EBC_only ODE:u"_+_f1_u'_+_f2_u_=f3 126 01 15 Quintic_107_Least_Sq ODE:u"_+_f1_u'_+_f2_u_=f3 127 01 15 Quintic_107_Galerkin ODE:u"_+_f1_u'_+_f2_u_=f3 106 02 16 EBC_RBC_unsymmetric ODE:u"_+_f1_u'_+_f2_u_=f3 107 02 16 Least_Sq_EBC_MPC ODE:u"_+_f1_u'_+_f2_u_=f3 107 03 17 Least_Sq_MPC_MPC ODE:u"_+_f1_u'_+_f2_u_=f3 106 03 17 RBC_RBC_unsymmetric ODE:u*dp/dx-d(k*dp/dx)/dx=Q 116 01 18 LeastSq_adv_diffusion Advection-Diffusion 112 01 18 SUPG_or_Galerkin_L2 Advection-Diffusion 112 02 18 SUPG_or_Galerkin_L3 Poisson_Eq_Orthotropic 202 10 19 Carslaw_Jaeger_test Laplace_2D_Exact_Cubic 202 08 20 Rect_96_T6_exact_bc Laplace_2D_Exact_Cubic 202 15 20 Rect_482_T3_exact_bc ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 01 21 Cyl_conduction_EBC ODE:1/R*d[R_K_dT/dR]/dR+Q=0 109 02 21 Cyl_conduction_EBC Axisymmetric_Poisson 208 01 22 Sphere_via_EBC Laplace_Eq_Axisymmetric 202 11 22 Sphere_w_edge_EBC Plane_Stress 201 08 23 Hole_in_plate Laplace_2D_Patch_Test 202 14 24 EBC_T6_patch_test Advective_diffusion_test 211 00 25B Cosine_Hill_EBC_ONLY SUPG_Advection_Diffusion 211 01 25B Codina_test5_576_Q4 SUPG_Advection_Diffusion 211 02 25B Codina_test4_324_Q4 ODE:c1_U"_+_c2_(U_-_c3)_=_0 101 05 26 U"_-U_+1_=0 Advective_diffusion_1D 1xx 00 27 4P'_-P''_-3P_+1=0 Advective_diffusion_1D 1xx 00 28 60P'-P''_-180X^2=0 Advective_diffusion_1D 1xx 00 29 60P'-P''_-f(cos(x))=0 Advective_diffusion_test 213 00 30B Stocastic_Volitility ODE:y'_+_A_y_=_F 103 01S 31 by_least_sq ODE:y'_+_A_y_=_F 119 01 31 Galerkin_unsymmetric Advective_diffusion_test 2xx 00 32 Kobayashi_square Solid_Stress_Analysis 303 01 33 Bending_rect_bar PDE:K*u,xx_-h(u-u_ext)-_R*u,t=0 123 01 I Burnett_transient_convec PDE:K*u,xx_-_R*u,t=0 121 02 I Myers_example_9.4_iter PDE:K*u,xx_-_R*u,t=0 122 02 I Transient_Hutton_Ex7_11 PDE:K*u,xx_-_R*u,t=0 122 01 I Transient_Myers_example Plane_Frame 203 08 R Bathe_cyclic_symmetry Plane_Frame 203 07 R Bathe_full_frame Plane_Frame 203 04 R Beam_incline_roller_MPC Plane_Frame 203 05 R Beam_settlement Space_Frame 301 04 R Beaufait_plane_frame Space_Frame 301 02 R Beaufait_space_frame Poisson_Eq_anisotropic 202 07 R Convect_Cond_Cyl_w_hole Plane_Frame 203 06 R Cook_274_MPC Cylindrical_stress_analysis 110 01 R Cyl_stress_disp Planar_Truss_explicit 206 02 R Fixed_bar_temp_rise Planar_Truss_matrix 207 02 R Fixed_bar_temp_rise Planar_Truss_explicit 206 05 R Linear_bar_patch_test Planar_Truss_matrix 207 05 R Linear_bar_patch_test Heat_and_Mass_Transfer_1D 115 01 R Logan_mass_flow_L3 Thermal_stress_1D 113 01 R Mech_stress_only Planar_Truss_explicit 206 01 R Meek_Example_11_bar Planar_Truss_matrix 207 01 R Meek_Example_11_bar ODE:K(U)*U,xx+Q=0 117 01 R Nonlinear_Conduction_L2 ODE:K(U)*U,xx+Q=0 117 02 R Nonlinear_Conduction_L3 ODE:K(U)*U,xx+Q=0 117 03 R Nonlinear_Conduction_L3 Thermal_stress_1D 113 03 R Patch_test Poisson_Eq_anisotropic 202 08 R Patch_test_uniform_flow Plane_Stress 201 02 R Q8_Patch_Test Plane_Stress 201 04 R Q9_Patch_Test ODE:[P'_h^3_/_6_nu]'_=_[U_h]' 102 01 R Slider_Bearing_step ODE:[P'_h^3_/_6_nu]'_=_[U_h]' 102 02 R Slider_Bearing_tilted Space_Frame_3_noded 301 06 R Smith_137_SF_3_nodes Plane_Frame 203 02 R Smith_Griffiths_115 Plane_Frame 203 03 R Smith_Griffiths_117 Torsion_Stress_Function 205 01 R Square_Bar_T6 Plane_Stress 201 06 R T10__Patch_Test Plane_Stress 201 03 R T3_Patch_Test Plane_Stress 201 01 R T6_Patch_Test Plane_Stress 201 05 R T6_Patch_Test_type2 Thermal_stress_1D 113 02 R Thermal_stress Planar_Truss_explicit 206 04 R Truss_inclined_support Planar_Truss_matrix 207 04 R Truss_inclined_support Planar_Truss_explicit 206 03 R Truss_one_hot_bar Planar_Truss_matrix 207 03 R Truss_one_hot_bar Space_Frame 301 03 R Vanderbilt_space_frame Space_Frame_3_noded 301 05 R Weaver_133_SF_3_nodes Plane_Frame 203 01 R Weaver_plane_frame Space_Frame 301 01 R Weaver_space_frame_132 ODE:y'_+_A_y_=_F 103 01S R by_least_sq ------------------------------- ------- ------- -------- -------------------- (B) means equation only exact for Dirichlet BC (use_exact_bc) (I) means exact results in my_exact_inc file (R) means exact results are in data remarks, (S) means discussed in Selected Solutions