Rodin::Variational::Integrator class
#include <Rodin/Variational/Integrator.h>

Abstract base class for integrators in variational formulations.

The Integrator class provides a common interface for all types of integrators used in finite element assembly. Integrators compute local (element-level) contributions that are then assembled into global matrices and vectors.

Integrator Types

There are two main types of integrators:

Linear Integrators: Compute contributions to the load vector (RHS)
- Example:
Bilinear Integrators: Compute contributions to the system matrix
- Example:

Role in Assembly

During the assembly process:

Integrators are iterated over mesh elements
Local contributions are computed using numerical quadrature
Local contributions are mapped to global indices
Global matrix/vector is updated with local contributions

Base classes

class Base: Base class for all objects in Rodin's FormLanguage system.

Derived classes

template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number> class LinearFormIntegratorBase: Base class for linear form integrators.
template<class Number> class LinearFormIntegratorBase: Base class for linear form integrators.
template<class Number> class LinearFormIntegratorBase: Base class for linear form integrators.
template<class Number> class LinearFormIntegratorBase: Base class for linear form integrators.
template<class Number, class Derived> class BilinearFormIntegratorBase: Abstract base class for bilinear form integrators.
template<class Number> class LinearFormIntegratorBase: Base class for linear form integrators.
template<class FES, class Data> class QuadratureRule<GridFunction<FES, Data>>: Integration of a GridFunction object.

Public types

enum class Type { Linear, Bilinear }: Enumeration of integrator types.
using Parent = FormLanguage::Base: Parent class type.

Constructors, destructors, conversion operators

Integrator() defaulted: Default constructor.
Integrator(const Integrator& other): Copy constructor.
Integrator(Integrator&& other): Move constructor.
~Integrator() defaulted virtual: Virtual destructor.

Public functions

auto getType() const -> Type pure virtual: Gets the type of this integrator.
auto copy() const -> Integrator* override noexcept: Creates a copy of this integrator.

Enum documentation

enum class Rodin::Variational::Integrator::Type

Enumeration of integrator types.

Enumerators
Linear	Linear form integrator (load vector)
Bilinear	Bilinear form integrator (system matrix)

Function documentation

Rodin::Variational::Integrator::Integrator(const Integrator& other)

Copy constructor.

Parameters
other in	Integrator to copy

Rodin::Variational::Integrator::Integrator(Integrator&& other)

Move constructor.

Parameters
other in	Integrator to move

Type Rodin::Variational::Integrator::getType() const pure virtual

Gets the type of this integrator.

Returns	Type indicating whether this is a linear or bilinear integrator

Integrator* Rodin::Variational::Integrator::copy() const override noexcept

Creates a copy of this integrator.

Returns	Pointer to newly allocated copy