Perazzo Marchant 2016a - Revision history

Scipediacontent: Scipediacontent moved page Draft Content 231547792 to Perazzo Marchant 2016a

2017-05-25T13:55:04Z

Scipediacontent moved page Draft Content 231547792 to Perazzo Marchant 2016a

Scipediacontent at 13:35, 25 May 2017

2017-05-25T13:35:47Z

Scipediacontent at 13:33, 25 May 2017

2017-05-25T13:33:25Z

Scipediacontent: /* 2. Métodos sin malla de formulación fuerte */

2017-05-25T13:31:10Z

‎2. Métodos sin malla de formulación fuerte

Scipediacontent: Created page with "==Resumen== En el presente artículo se analiza el comportamiento de la función de forma basada en el principio de máxima entropía (maxent), en el contexto de un método s..."

2017-05-25T13:00:22Z

Created page with "==Resumen== En el presente artículo se analiza el comportamiento de la función de forma basada en el principio de máxima entropía (maxent), en el contexto de un método s..."

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@@ Line 508: / Line 508: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>L_2=\sqrt{\frac{{\sum }_{i=1}^N\mbox{\;  }{\left(u_i^{teo}-u_i^{\acute{num}}\right)}^2}{{\sum }_{i=1}^N\mbox{\;  }{\left(u_i^{teo}\right)}^2}}</math>
+| <math>L_2=\sqrt{\frac{{\sum }_{i=1}^N{\left(u_i^{teo}-u_i^{\acute{num}}\right)}^2}{{\sum }_{i=1}^N{\left(u_i^{teo}\right)}^2}}</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (29)
@@ Line 520: / Line 520: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>H_2=\sqrt{\frac{{\sum }_{i=1}^N\mbox{\;  }{\left(u_{i,x}^{teo}-u_{i,x}^{\acute{num}}\right)}^2}{{\sum }_{i=1}^N\mbox{\;  }{\left(u_{i,x}^{teo}\right)}^2}}</math>
+| <math>H_2=\sqrt{\frac{{\sum }_{i=1}^N{\left(u_{i,x}^{teo}-u_{i,x}^{\acute{num}}\right)}^2}{{\sum }_{i=1}^N{\left(u_{i,x}^{teo}\right)}^2}}</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (30)
@@ Line 551: / Line 551: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>-u^{{''}}\mbox{\;  }+\mbox{\;  }u=f(x),\mbox{\;  }\mbox{\;  }\mbox{\;  }x\in (0,1),</math>
+| <math>-u^{{''}}+u=f(x),x\in (0,1),</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (32)
@@ Line 563: / Line 563: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>u^{{'}}(0)=\frac{\alpha }{1\mbox{\;  }+{\alpha }^2{\overline{x}}^2},</math>
+| <math>u^{{'}}(0)=\frac{\alpha }{1+{\alpha }^2{\overline{x}}^2},</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (33a)
@@ Line 573: / Line 573: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>u^{{'}}(1)=[arctan(\alpha (1-\overline{x})\mbox{\;  }+</math><math>\mbox{\;  }arctan(\alpha \overline{x})].</math>
+| <math>u^{{'}}(1)=[arctan(\alpha (1-\overline{x})+</math><math>arctan(\alpha \overline{x})].</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (33b)
@@ Line 585: / Line 585: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>u(x)=(1-x)[arctan(\alpha (x-\overline{x}))\mbox{\;  }+</math><math>\mbox{\;  }arctan(\alpha \overline{x})].</math>
+| <math>u(x)=(1-x)[arctan(\alpha (x-\overline{x}))+</math><math>arctan(\alpha \overline{x})].</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (34)
@@ Line 774: / Line 774: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>-\nabla \cdot (k\nabla u)=s(x,y),\quad \in \mbox{\;  }[0,1]x[0,1],</math>
+| <math>-\nabla \cdot (k\nabla u)=s(x,y),\quad \in [0,1]x[0,1],</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (37a)
@@ Line 784: / Line 784: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>u=\overline{u}\quad \in \mbox{\;  }x=0,x=1,y=0,</math>
+| <math>u=\overline{u}\quad \in x=0,x=1,y=0,</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (37b)
@@ Line 794: / Line 794: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>\nabla u\cdot n=0\quad \in \mbox{\;  }y=1.</math>
+| <math>\nabla u\cdot n=0\quad \in y=1.</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (37c)

@@ Line 266: / Line 266: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>max\boldsymbol{\mbox{H}}\left({\phi }_1,{\phi }_2,...,{\phi }_n\right)=</math><math>-\sum_{i=1}^n{\phi }_i(\boldsymbol{\mbox{x}})ln\frac{{\phi }_i(\boldsymbol{\mbox{x}})}{m_i(\boldsymbol{\mbox{x}})},\mbox{\;  }s.a.</math>
+| <math>max\boldsymbol{\mbox{H}}\left({\phi }_1,{\phi }_2,...,{\phi }_n\right)=</math><math>-\sum_{i=1}^n{\phi }_i(\boldsymbol{\mbox{x}})ln\frac{{\phi }_i(\boldsymbol{\mbox{x}})}{m_i(\boldsymbol{\mbox{x}})},s.a.</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (16a)
@@ Line 430: / Line 430: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>\overset{\mbox{ˆ}}{g}(\lambda )\mbox{\;  }=\mbox{\;  }-</math><math>lnZ(\lambda ,x)</math>
+| <math>\overset{\mbox{ˆ}}{g}(\lambda )=-</math><math>lnZ(\lambda ,x)</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (25)
@@ Line 458: / Line 458: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>\nabla {\phi }_i(\boldsymbol{\mbox{x}})={\phi }_i\left(\boldsymbol{\mbox{x}}_i\mbox{\;  }\left({\boldsymbol{\mbox{He}}}^{-1}-\right. \right. </math><math>\left. \left. {\boldsymbol{\mbox{He}}}^{-1}\sum_{j=1}^n{\phi }_j\tilde{\boldsymbol{\mbox{x}}_j}\otimes \frac{\nabla m_j}{m_j}\right)+\right. </math><math>\left. \frac{\nabla m_i}{m_i}-\sum_{j=1}^n{\phi }_j\frac{\nabla m_j}{m_j}\right)</math>
+| <math>\nabla {\phi }_i(\boldsymbol{\mbox{x}})={\phi }_i\left(\boldsymbol{\mbox{x}}_i\left({\boldsymbol{\mbox{He}}}^{-1}-\right. \right. </math><math>\left. \left. {\boldsymbol{\mbox{He}}}^{-1}\sum_{j=1}^n{\phi }_j\tilde{\boldsymbol{\mbox{x}}_j}\otimes \frac{\nabla m_j}{m_j}\right)+\right. </math><math>\left. \frac{\nabla m_i}{m_i}-\sum_{j=1}^n{\phi }_j\frac{\nabla m_j}{m_j}\right)</math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (27)

@@ Line 29: / Line 29: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>F(u)-b=0\mbox{\;  }\mbox{\;  }\mbox{\;  };\mbox{\;  }\mbox{\;  }\mbox{\;  }\in \mbox{\;  }\mbox{\;  }\Omega </math>
+| <math>F(u)-b=0\in \Omega </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (1)
@@ Line 42: / Line 42: @@
 {| style="text-align: center; margin:auto;"
 |-
-| <math>G(u)-g=0\mbox{\;  }\mbox{\;  }\mbox{\;  };\mbox{\;  }\mbox{\;  }\mbox{\;  }\in \mbox{\;  }\mbox{\;  }\partial \Omega </math>
+| <math>G(u)-g=0\in \partial \Omega </math>
 |}
 | style="width: 5px;text-align: right;white-space: nowrap;" | (2)

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