MFEMDivDivKernel

Overview

Adds the domain integrator for integrating the bilinear form

where and is a scalar coefficient.

This term arises from the weak form of the grad div operator

Example Input File Syntax

[Kernels<<<{"href": "../../../syntax/Kernels/index.html"}>>>]
  [divdiv]
    type = MFEMDivDivKernel<<<{"description": "Adds the domain integrator to an MFEM problem for the bilinear form $(k\\vec\\nabla \\cdot \\vec u, \\vec\\nabla \\cdot \\vec v)_\\Omega$ arising from the weak form of the grad-div operator $-\\vec\\nabla \\left( k \\vec\\nabla \\cdot \\vec u \\right)$.", "href": "MFEMDivDivKernel.html"}>>>
    variable<<<{"description": "Variable labelling the weak form this kernel is added to"}>>> = F
  []
  [mass]
    type = MFEMVectorFEMassKernel<<<{"description": "Adds the domain integrator to an MFEM problem for the bilinear form $(k \\vec u, \\vec v)_\\Omega$ arising from the weak form of the mass operator $k \\vec u$.", "href": "MFEMVectorFEMassKernel.html"}>>>
    variable<<<{"description": "Variable labelling the weak form this kernel is added to"}>>> = F
  []
  [source]
    type = MFEMVectorFEDomainLFKernel<<<{"description": "Adds the domain integrator to an MFEM problem for the linear form $(\\vec f, \\vec v)_\\Omega$ arising from the weak form of the forcing term $\\vec f$.", "href": "MFEMVectorFEDomainLFKernel.html"}>>>
    variable<<<{"description": "Variable labelling the weak form this kernel is added to"}>>> = F
    vector_coefficient<<<{"description": "The name of the vector coefficient f. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a numeric vector value (enclosed in curly braces)."}>>> = f
  []
[]
(test/tests/mfem/kernels/graddiv.i)

Input Parameters

  • blockThe list of subdomains (names or ids) that this object will be restricted to. Leave empty to apply to all subdomains.

    C++ Type:std::vector<SubdomainName>

    Controllable:No

    Description:The list of subdomains (names or ids) that this object will be restricted to. Leave empty to apply to all subdomains.

  • coefficient1.Name of property k to multiply the integrator by. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

    Default:1.

    C++ Type:MFEMScalarCoefficientName

    Controllable:No

    Description:Name of property k to multiply the integrator by. A functor is any of the following: a variable, an MFEM material property, a function, a postprocessor or a number.

  • variableVariable labelling the weak form this kernel is added to

    C++ Type:VariableName

    Unit:(no unit assumed)

    Controllable:No

    Description:Variable labelling the weak form this kernel is added to

Optional Parameters

  • control_tagsAdds user-defined labels for accessing object parameters via control logic.

    C++ Type:std::vector<std::string>

    Controllable:No

    Description:Adds user-defined labels for accessing object parameters via control logic.

  • enableTrueSet the enabled status of the MooseObject.

    Default:True

    C++ Type:bool

    Controllable:No

    Description:Set the enabled status of the MooseObject.

Advanced Parameters

Input Files