ElementH1ErrorFunctionAux

A class for computing the element-wise $var element = document.getElementById("moose-equation-8db52e53-aa17-4a38-9546-33073afa4611");katex.render("H1", element, {displayMode:false,throwOnError:false});$ (Sobolev space) error (actually $var element = document.getElementById("moose-equation-b2c49186-0dee-4cb9-bff1-94e3e874d490");katex.render("W^{1,p}", element, {displayMode:false,throwOnError:false});$ error, if you set the value of $var element = document.getElementById("moose-equation-0f787aef-f678-45a0-a8d5-69cbc21afb2c");katex.render("p", element, {displayMode:false,throwOnError:false});$ to something other than 2.0) of the difference between an exact solution (typically represented by a ParsedFunction) and the specified solution variable.

Example syntax


[./h1_error_aux]
  type = ElementH1ErrorFunctionAux
  variable = element_h1_error
  # A function representing the exact solution for the solution
  function = exact_fn
  # The nonlinear variable representing the FEM solution
  coupled_variable = u
[../]

Computes the H1 or W^{1,p} error between an exact function and a coupled variable.

Input Parameters

functionFunction representing the exact solution
C++ Type:FunctionName
Description:Function representing the exact solution
variableThe name of the variable that this object applies to
C++ Type:AuxVariableName
Description:The name of the variable that this object applies to
coupled_variableThe variable to compute the norm of.
C++ Type:std::vector
Description:The variable to compute the norm of.

Required Parameters

execute_onLINEAR TIMESTEP_ENDThe list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
Default:LINEAR TIMESTEP_END
C++ Type:ExecFlagEnum
Description:The list of flag(s) indicating when this object should be executed, the available options include NONE, INITIAL, LINEAR, NONLINEAR, TIMESTEP_END, TIMESTEP_BEGIN, FINAL, CUSTOM.
boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector
Description:The list of boundary IDs from the mesh where this boundary condition applies
blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Description:The list of block ids (SubdomainID) that this object will be applied
p2The exponent used in the norm.
Default:2
C++ Type:double
Description:The exponent used in the norm.

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Description:Set the enabled status of the MooseObject.
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Description:The seed for the master random number generator
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

Example syntax
Input Parameters