Resuelve -(Uxx + Uyy)+ U = exp(xy) en 0 < x < 1 y 0 < y < 1 u(x,0) = 0 u(x,1) = 0 u(0,y) = 0 u(1,y) = 0 Solucion: Dominio: (0.000000,0.000000) a (1.000000,1.000000) Nodos de los elementos Elemento 1 ---> Nodos ( 0, 1, 12, 11 ) Elemento 2 ---> Nodos ( 1, 2, 13, 12 ) Elemento 3 ---> Nodos ( 2, 3, 14, 13 ) Elemento 4 ---> Nodos ( 3, 4, 15, 14 ) Elemento 5 ---> Nodos ( 4, 5, 16, 15 ) Elemento 6 ---> Nodos ( 5, 6, 17, 16 ) Elemento 7 ---> Nodos ( 6, 7, 18, 17 ) Elemento 8 ---> Nodos ( 7, 8, 19, 18 ) Elemento 9 ---> Nodos ( 8, 9, 20, 19 ) Elemento 10 ---> Nodos ( 9, 10, 21, 20 ) Elemento 11 ---> Nodos ( 11, 12, 23, 22 ) Elemento 12 ---> Nodos ( 12, 13, 24, 23 ) Elemento 13 ---> Nodos ( 13, 14, 25, 24 ) Elemento 14 ---> Nodos ( 14, 15, 26, 25 ) Elemento 15 ---> Nodos ( 15, 16, 27, 26 ) Elemento 16 ---> Nodos ( 16, 17, 28, 27 ) Elemento 17 ---> Nodos ( 17, 18, 29, 28 ) Elemento 18 ---> Nodos ( 18, 19, 30, 29 ) Elemento 19 ---> Nodos ( 19, 20, 31, 30 ) Elemento 20 ---> Nodos ( 20, 21, 32, 31 ) Elemento 21 ---> Nodos ( 22, 23, 34, 33 ) Elemento 22 ---> Nodos ( 23, 24, 35, 34 ) Elemento 23 ---> Nodos ( 24, 25, 36, 35 ) Elemento 24 ---> Nodos ( 25, 26, 37, 36 ) Elemento 25 ---> Nodos ( 26, 27, 38, 37 ) Elemento 26 ---> Nodos ( 27, 28, 39, 38 ) Elemento 27 ---> Nodos ( 28, 29, 40, 39 ) Elemento 28 ---> Nodos ( 29, 30, 41, 40 ) Elemento 29 ---> Nodos ( 30, 31, 42, 41 ) Elemento 30 ---> Nodos ( 31, 32, 43, 42 ) Elemento 31 ---> Nodos ( 33, 34, 45, 44 ) Elemento 32 ---> Nodos ( 34, 35, 46, 45 ) Elemento 33 ---> Nodos ( 35, 36, 47, 46 ) Elemento 34 ---> Nodos ( 36, 37, 48, 47 ) Elemento 35 ---> Nodos ( 37, 38, 49, 48 ) Elemento 36 ---> Nodos ( 38, 39, 50, 49 ) Elemento 37 ---> Nodos ( 39, 40, 51, 50 ) Elemento 38 ---> Nodos ( 40, 41, 52, 51 ) Elemento 39 ---> Nodos ( 41, 42, 53, 52 ) Elemento 40 ---> Nodos ( 42, 43, 54, 53 ) Elemento 41 ---> Nodos ( 44, 45, 56, 55 ) Elemento 42 ---> Nodos ( 45, 46, 57, 56 ) Elemento 43 ---> Nodos ( 46, 47, 58, 57 ) Elemento 44 ---> Nodos ( 47, 48, 59, 58 ) Elemento 45 ---> Nodos ( 48, 49, 60, 59 ) Elemento 46 ---> Nodos ( 49, 50, 61, 60 ) Elemento 47 ---> Nodos ( 50, 51, 62, 61 ) Elemento 48 ---> Nodos ( 51, 52, 63, 62 ) Elemento 49 ---> Nodos ( 52, 53, 64, 63 ) Elemento 50 ---> Nodos ( 53, 54, 65, 64 ) Nodos Nodo: 0 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +0.0000000000e+00 ) Nodo: 1 ( -1 ) ---> Nodo: ( +1.0000000000e-01 , +0.0000000000e+00 ) Nodo: 2 ( -1 ) ---> Nodo: ( +2.0000000000e-01 , +0.0000000000e+00 ) Nodo: 3 ( -1 ) ---> Nodo: ( +3.0000000000e-01 , +0.0000000000e+00 ) Nodo: 4 ( -1 ) ---> Nodo: ( +4.0000000000e-01 , +0.0000000000e+00 ) Nodo: 5 ( -1 ) ---> Nodo: ( +5.0000000000e-01 , +0.0000000000e+00 ) Nodo: 6 ( -1 ) ---> Nodo: ( +6.0000000000e-01 , +0.0000000000e+00 ) Nodo: 7 ( -1 ) ---> Nodo: ( +7.0000000000e-01 , +0.0000000000e+00 ) Nodo: 8 ( -1 ) ---> Nodo: ( +8.0000000000e-01 , +0.0000000000e+00 ) Nodo: 9 ( -1 ) ---> Nodo: ( +9.0000000000e-01 , +0.0000000000e+00 ) Nodo: 10 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +0.0000000000e+00 ) Nodo: 11 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +2.0000000000e-01 ) Nodo: 12 ( 0 ) ---> Nodo: ( +1.0000000000e-01 , +2.0000000000e-01 ) Nodo: 13 ( 1 ) ---> Nodo: ( +2.0000000000e-01 , +2.0000000000e-01 ) Nodo: 14 ( 2 ) ---> Nodo: ( +3.0000000000e-01 , +2.0000000000e-01 ) Nodo: 15 ( 3 ) ---> Nodo: ( +4.0000000000e-01 , +2.0000000000e-01 ) Nodo: 16 ( 4 ) ---> Nodo: ( +5.0000000000e-01 , +2.0000000000e-01 ) Nodo: 17 ( 5 ) ---> Nodo: ( +6.0000000000e-01 , +2.0000000000e-01 ) Nodo: 18 ( 6 ) ---> Nodo: ( +7.0000000000e-01 , +2.0000000000e-01 ) Nodo: 19 ( 7 ) ---> Nodo: ( +8.0000000000e-01 , +2.0000000000e-01 ) Nodo: 20 ( 8 ) ---> Nodo: ( +9.0000000000e-01 , +2.0000000000e-01 ) Nodo: 21 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +2.0000000000e-01 ) Nodo: 22 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +4.0000000000e-01 ) Nodo: 23 ( 9 ) ---> Nodo: ( +1.0000000000e-01 , +4.0000000000e-01 ) Nodo: 24 ( 10 ) ---> Nodo: ( +2.0000000000e-01 , +4.0000000000e-01 ) Nodo: 25 ( 11 ) ---> Nodo: ( +3.0000000000e-01 , +4.0000000000e-01 ) Nodo: 26 ( 12 ) ---> Nodo: ( +4.0000000000e-01 , +4.0000000000e-01 ) Nodo: 27 ( 13 ) ---> Nodo: ( +5.0000000000e-01 , +4.0000000000e-01 ) Nodo: 28 ( 14 ) ---> Nodo: ( +6.0000000000e-01 , +4.0000000000e-01 ) Nodo: 29 ( 15 ) ---> Nodo: ( +7.0000000000e-01 , +4.0000000000e-01 ) Nodo: 30 ( 16 ) ---> Nodo: ( +8.0000000000e-01 , +4.0000000000e-01 ) Nodo: 31 ( 17 ) ---> Nodo: ( +9.0000000000e-01 , +4.0000000000e-01 ) Nodo: 32 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +4.0000000000e-01 ) Nodo: 33 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +6.0000000000e-01 ) Nodo: 34 ( 18 ) ---> Nodo: ( +1.0000000000e-01 , +6.0000000000e-01 ) Nodo: 35 ( 19 ) ---> Nodo: ( +2.0000000000e-01 , +6.0000000000e-01 ) Nodo: 36 ( 20 ) ---> Nodo: ( +3.0000000000e-01 , +6.0000000000e-01 ) Nodo: 37 ( 21 ) ---> Nodo: ( +4.0000000000e-01 , +6.0000000000e-01 ) Nodo: 38 ( 22 ) ---> Nodo: ( +5.0000000000e-01 , +6.0000000000e-01 ) Nodo: 39 ( 23 ) ---> Nodo: ( +6.0000000000e-01 , +6.0000000000e-01 ) Nodo: 40 ( 24 ) ---> Nodo: ( +7.0000000000e-01 , +6.0000000000e-01 ) Nodo: 41 ( 25 ) ---> Nodo: ( +8.0000000000e-01 , +6.0000000000e-01 ) Nodo: 42 ( 26 ) ---> Nodo: ( +9.0000000000e-01 , +6.0000000000e-01 ) Nodo: 43 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +6.0000000000e-01 ) Nodo: 44 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +8.0000000000e-01 ) Nodo: 45 ( 27 ) ---> Nodo: ( +1.0000000000e-01 , +8.0000000000e-01 ) Nodo: 46 ( 28 ) ---> Nodo: ( +2.0000000000e-01 , +8.0000000000e-01 ) Nodo: 47 ( 29 ) ---> Nodo: ( +3.0000000000e-01 , +8.0000000000e-01 ) Nodo: 48 ( 30 ) ---> Nodo: ( +4.0000000000e-01 , +8.0000000000e-01 ) Nodo: 49 ( 31 ) ---> Nodo: ( +5.0000000000e-01 , +8.0000000000e-01 ) Nodo: 50 ( 32 ) ---> Nodo: ( +6.0000000000e-01 , +8.0000000000e-01 ) Nodo: 51 ( 33 ) ---> Nodo: ( +7.0000000000e-01 , +8.0000000000e-01 ) Nodo: 52 ( 34 ) ---> Nodo: ( +8.0000000000e-01 , +8.0000000000e-01 ) Nodo: 53 ( 35 ) ---> Nodo: ( +9.0000000000e-01 , +8.0000000000e-01 ) Nodo: 54 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +8.0000000000e-01 ) Nodo: 55 ( -1 ) ---> Nodo: ( +0.0000000000e+00 , +1.0000000000e+00 ) Nodo: 56 ( -1 ) ---> Nodo: ( +1.0000000000e-01 , +1.0000000000e+00 ) Nodo: 57 ( -1 ) ---> Nodo: ( +2.0000000000e-01 , +1.0000000000e+00 ) Nodo: 58 ( -1 ) ---> Nodo: ( +3.0000000000e-01 , +1.0000000000e+00 ) Nodo: 59 ( -1 ) ---> Nodo: ( +4.0000000000e-01 , +1.0000000000e+00 ) Nodo: 60 ( -1 ) ---> Nodo: ( +5.0000000000e-01 , +1.0000000000e+00 ) Nodo: 61 ( -1 ) ---> Nodo: ( +6.0000000000e-01 , +1.0000000000e+00 ) Nodo: 62 ( -1 ) ---> Nodo: ( +7.0000000000e-01 , +1.0000000000e+00 ) Nodo: 63 ( -1 ) ---> Nodo: ( +8.0000000000e-01 , +1.0000000000e+00 ) Nodo: 64 ( -1 ) ---> Nodo: ( +9.0000000000e-01 , +1.0000000000e+00 ) Nodo: 65 ( -1 ) ---> Nodo: ( +1.0000000000e+00 , +1.0000000000e+00 ) Matriz Densa "Matriz Temporal para Generar Matriz de Rigidez" de dimensión: 4 x 4 Número de entradas distintas de cero: 16 Numero máximo de columnas ocupadas: 4 +0.8355555556 -0.5822222222 -0.4161111111 +0.1677777778 -0.5822222222 +0.8355555556 +0.1677777778 -0.4161111111 -0.4161111111 +0.1677777778 +0.8355555556 -0.5822222222 +0.1677777778 -0.4161111111 -0.5822222222 +0.8355555556 Matriz Bandada Compacta "Matriz de carga" de dimensión: 36 x 36 y banda 9 Número de entradas distintas de cero: 250 Numero máximo de columnas ocupadas: 9 +3.3422222222 -1.1644444444 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.3355555556 -0.4161111111 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 -1.1644444444 +3.3422222222 -1.1644444444 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 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sistema lineal 14 Vector "Solución sistema lineal" de dimensión: 36 Vector "Vector Extendido" de dimensión: 30 Vector extendido "Solución" de dimensión: 66 0: +0.0000000000e+00 1: +0.0000000000e+00 2: +0.0000000000e+00 3: +0.0000000000e+00 4: +0.0000000000e+00 5: +0.0000000000e+00 6: +0.0000000000e+00 7: +0.0000000000e+00 8: +0.0000000000e+00 9: +0.0000000000e+00 10: +0.0000000000e+00 11: +0.0000000000e+00 12: +2.3317118654e-02 13: +3.8796323464e-02 14: +4.9065745348e-02 15: +5.5317786623e-02 16: +5.8022064083e-02 17: +5.7158197600e-02 18: +5.2281895519e-02 19: +4.2460062188e-02 20: +2.6047158790e-02 21: +0.0000000000e+00 22: +0.0000000000e+00 23: +3.1831339288e-02 24: +5.5339573403e-02 25: +7.1818580979e-02 26: +8.2245055502e-02 27: +8.7051065576e-02 28: +8.6072632050e-02 29: +7.8531031361e-02 30: +6.3031788196e-02 31: +3.7627567798e-02 32: +0.0000000000e+00 33: +0.0000000000e+00 34: +3.2738508271e-02 35: +5.7183482026e-02 36: +7.4637651871e-02 37: +8.6069724868e-02 38: +9.1862506490e-02 39: +9.1740477204e-02 40: +8.4696732302e-02 41: +6.8901938005e-02 42: +4.1664613340e-02 43: +0.0000000000e+00 44: +0.0000000000e+00 45: +2.5114836523e-02 46: +4.2465992806e-02 47: +5.4705114288e-02 48: +6.3016154585e-02 49: +6.7793213565e-02 50: +6.8837718390e-02 51: +6.5322345207e-02 52: +5.5521103179e-02 53: +3.6073512746e-02 54: +0.0000000000e+00 55: +0.0000000000e+00 56: +0.0000000000e+00 57: +0.0000000000e+00 58: +0.0000000000e+00 59: +0.0000000000e+00 60: +0.0000000000e+00 61: +0.0000000000e+00 62: +0.0000000000e+00 63: +0.0000000000e+00 64: +0.0000000000e+00 65: +0.0000000000e+00 Tiempo Cálculo: 0.000000 Método Jacobi, iteraciones para resolver el sistema lineal 1001 Vector "Solución sistema lineal" de dimensión: 36 Vector "Vector Extendido" de dimensión: 30 Vector extendido "Solución" de dimensión: 66 0: +0.0000000000e+00 1: +0.0000000000e+00 2: +0.0000000000e+00 3: +0.0000000000e+00 4: +0.0000000000e+00 5: +0.0000000000e+00 6: +0.0000000000e+00 7: 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Cálculo: 0.000000 Error al asignar, banda desbordada (10, 16) Matriz Dispersa "Matriz de carga" de dimensión: 36 x 36 y banda 18 Número de entradas distintas de cero: 331 Numero máximo de columnas ocupadas: 18 Matriz Dispersa "Matriz de carga" de dimensión: 36 x 36 y banda 18 Número de entradas distintas de cero: 331 Numero máximo de columnas ocupadas: 18 Matriz de Datos +3.3422222222e+00 -1.1644444444e+00 +3.3555555556e-01 -4.1611111111e-01 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +2.9365248227e+00 -3.4840425532e-01 -1.1644444444e+00 +1.9058067376e-01 -2.9920212766e-01 -4.1611111111e-01 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 +0.0000000000e+00 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