I have created web parts... and now i have applied user authentication to the site.
So the settings for a particular user should be saved in database...
but when i am trying to login i am getting following error...

An error has occurred while establishing a connection to the server.  When connecting to SQL Server 2005, this failure may be caused by the fact that under the default settings SQL Server does not allow remote connections. (provider: Named Pipes Provider, error: 40 - Could not open a connection to SQL Server)

Here is the code for my web.config file...

Please see the connectionString settings.. i am little bit confused about it...

<?xml version="1.0"?>

<configuration>
 <configSections>
  <sectionGroup name="system.web.extensions" type="System.Web.Configuration.SystemWebExtensionsSectionGroup,    System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35">
   <sectionGroup name="scripting" type="System.Web.Configuration.ScriptingSectionGroup, System.Web.Extensions,     Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35">
   <section name="scriptResourceHandler"        type="System.Web.Configuration.ScriptingScriptResourceHandlerSection, System.Web.Extensions,       Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35" requirePermission="false"       allowDefinition="MachineToApplication"/>
   <sectionGroup name="webServices" type="System.Web.Configuration.ScriptingWebServicesSectionGroup,    System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35">
     <section name="jsonSerialization" type="System.Web.Configuration.ScriptingJsonSerializationSection, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35" requirePermission="false" allowDefinition="Everywhere"/>
     <section name="profileService" type="System.Web.Configuration.ScriptingProfileServiceSection, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35" requirePermission="false" allowDefinition="MachineToApplication"/>
     <section name="authenticationService" type="System.Web.Configuration.ScriptingAuthenticationServiceSection, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35" requirePermission="false" allowDefinition="MachineToApplication"/>
    </sectionGroup>
   </sectionGroup>
  </sectionGroup>
 </configSections>
 
  <connectionStrings>
    <clear/>
    <add name="LocalSqlServer" connectionString="data source=127.0.0.1;database=Database1;
    user id=sa ;password=sa"/>
  </connectionStrings>
 
 <system.web>
    <authentication mode="Forms"/>
    <membership>
      <providers>
        <clear/>
        <add name="AspNetSqlMembershipProvider"
          type="System.Web.Security.SqlMembershipProvider, System.Web,
          Version=2.0.0.0, Culture=neutral,PublicKeyToken=b03f5f7f11d50a3a"
          connectionStringName="LocalSqlServer"
          applicationName="/CustomConnections" />
      </providers>
    </membership>
   
  <webParts>
   <personalization>
    <authorization>
     <allow users="*" verbs="enterSharedScope"/>
    </authorization>
   </personalization>
  </webParts>

    <profile enabled="true" defaultProvider="TableProfileProvider">
      <providers>
        <clear/>
        <add name="TableProfileProvider"
         type="Microsoft.Samples.SqlTableProfileProvider"
         connectionStringName="LocalSqlServer"
         table="asdspnet_Profile"
          applicationName="/CustomConnections"/>
      </providers>
    </profile>
   
  <pages>
   <controls>
    <add tagPrefix="asp" namespace="System.Web.UI" assembly="System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
   </controls>
   <tagMapping>
    <add tagType="System.Web.UI.WebControls.WebParts.WebPartManager" mappedTagType="Sample.Web.UI.WebParts.WebPartManager, Sample.Web.UI.WebParts"/>
   </tagMapping>
  </pages>
  <!--
          Set compilation debug="true" to insert debugging
          symbols into the compiled page. Because this
          affects performance, set this value to true only
          during development.
    -->
  <compilation debug="true">
   <assemblies>
    <add assembly="System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
    <add assembly="System, Version=2.0.0.0, Culture=neutral, PublicKeyToken=B77A5C561934E089"/>
    <add assembly="System.Web, Version=2.0.0.0, Culture=neutral, PublicKeyToken=B03F5F7F11D50A3A"/>
    <add assembly="System.Drawing, Version=2.0.0.0, Culture=neutral, PublicKeyToken=B03F5F7F11D50A3A"/>
    <add assembly="System.Design, Version=2.0.0.0, Culture=neutral, PublicKeyToken=B03F5F7F11D50A3A"/>
    <add assembly="System.Windows.Forms, Version=2.0.0.0, Culture=neutral, PublicKeyToken=B77A5C561934E089"/></assemblies>
  </compilation>
  <httpHandlers>
   <remove verb="*" path="*.asmx"/>
   <add verb="*" path="*.asmx" validate="false" type="System.Web.Script.Services.ScriptHandlerFactory, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
   <add verb="*" path="*.asmx" type="Microsoft.Web.Services.ScriptHandlerFactory" validate="false"/>
   <add verb="*" path="*_AppService.axd" validate="false" type="System.Web.Script.Services.ScriptHandlerFactory, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
   <add verb="GET,HEAD" path="ScriptResource.axd" type="System.Web.Handlers.ScriptResourceHandler, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35" validate="false"/>
  </httpHandlers>
  <httpModules>
   <add name="ScriptModule" type="System.Web.Handlers.ScriptModule, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
  </httpModules>
 </system.web>
 <system.web.extensions>
  <scripting>
   <webServices>
    <!-- Uncomment this line to customize maxJsonLength and add a custom converter -->
    <!--
      <jsonSerialization maxJsonLength="500">
        <converters>
          <add name="ConvertMe" type="Acme.SubAcme.ConvertMeTypeConverter"/>
        </converters>
      </jsonSerialization>
      -->
    <!-- Uncomment this line to enable the authentication service. Include requireSSL="true" if appropriate. -->
    <!--
        <authenticationService enabled="true" requireSSL = "true|false"/>
      -->
    <!-- Uncomment these lines to enable the profile service. To allow profile properties to be retrieved
           and modified in ASP.NET AJAX applications, you need to add each property name to the readAccessProperties and
           writeAccessProperties attributes. -->
    <!--
      <profileService enabled="true"
                      readAccessProperties="propertyname1,propertyname2"
                      writeAccessProperties="propertyname1,propertyname2" />
      -->
   </webServices>
   <!--
      <scriptResourceHandler enableCompression="true" enableCaching="true" />
      -->
  </scripting>
 </system.web.extensions>
 <system.webServer>
  <validation validateIntegratedModeConfiguration="false"/>
  <modules>
   <add name="ScriptModule" preCondition="integratedMode" type="System.Web.Handlers.ScriptModule, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
  </modules>
  <handlers>
   <remove name="WebServiceHandlerFactory-Integrated"/>
   <add name="ScriptHandlerFactory" verb="*" path="*.asmx" preCondition="integratedMode" type="System.Web.Script.Services.ScriptHandlerFactory, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
   <add name="ScriptHandlerFactoryAppServices" verb="*" path="*_AppService.axd" preCondition="integratedMode" type="System.Web.Script.Services.ScriptHandlerFactory, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
   <add name="ScriptResource" preCondition="integratedMode" verb="GET,HEAD" path="ScriptResource.axd" type="System.Web.Handlers.ScriptResourceHandler, System.Web.Extensions, Version=1.0.61025.0, Culture=neutral, PublicKeyToken=31bf3856ad364e35"/>
  </handlers>
 </system.webServer>
</configuration>

Check if you have ASPNETDB under your AppData Folder.. Basically webparts personalizations will be stored there.. If you have attached ASPNETDB  in your Database  then be sure that you have this in your webconfig file

<connectionStrings>
        <remove name="LocalSqlServer" />
        <add name="LocalSqlServer" connectionString="Data Source=<SERVER NAME>;Initial Catalog=ASPNET;Integrated Security=True;MultipleActiveResultSets=False;Packet Size=4096;Application Name=&quot;Microsoft SQL Server Management Studio Express&quot;" providerName="System.Data.SqlClient" />
       
</connectionStrings>