Class template `Dune::XT::Functions::GenericGridFunction`¶

Inherits from Dune::XT::Functions::GridFunctionInterface.

template<class E, size_t r = 1, size_t rC = 1, class R = double> class Dune::XT::Functions::GenericGridFunction : public GridFunctionInterface<E, r, rC, R>¶

A function given by a lambda expression or std::function which is evaluated locally on each element.

GenericGridFunction<…> f([](const typename F::DomainType& point_in_local_coordinates, const XT::Common::Parameter& param) { typename F::RangeType ret(std::pow(point_in_local_coordinates[0], param.get(“power”).at(0))); return ret; }, integration_order, XT::Common::ParameterType(“power”, 1), “x_power_p”);

To model the function f(x) = x^p (where x is the local coordinate on the reference element) with a variable exponent p, use as

The XT::Common::ParameterType provided on construction ensures that the XT::Common::Parameter param which is passed on to the generic function is of correct type. If you want the function to have Jacobians, you have to provide an additional generic function to the constructor. Note that this generic jacobian function should describe the local jacobian on the reference element (for the x^p function in one dimension, this would be p x^{p-1}). The jacobian(…) method of the LocalGenericGridFunction will do the transformation for you and return the jacobian on the actual grid element.

Class `Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction`¶

Inherits from Dune::XT::Functions::ElementFunctionInterface.

class Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction : public ElementFunctionInterface<E, r, rC, R>¶: No documentation provided.

void Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::post_bind(const ElementType &element) final¶: No documentation provided.

int Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::order(const XT::Common::Parameter &param = <recovery-expr>({})) const final¶: No documentation provided.

RangeReturnType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::evaluate(const DomainType &point_in_local_coordinates, const Common::Parameter &param = <recovery-expr>({})) const final¶: No documentation provided.

DerivativeRangeReturnType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::jacobian(const DomainType &point_in_local_coordinates, const Common::Parameter &param = <recovery-expr>({})) const final¶: No documentation provided.

DerivativeRangeReturnType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::derivative(const std::array<size_t, d> &alpha, const DomainType &point_in_local_coordinates, const Common::Parameter &param = <recovery-expr>({})) const final¶: No documentation provided.

Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::LocalGenericGridFunction(GenericOrderFunctionType order_func, GenericPostBindFunctionType post_bind_func, GenericEvaluateFunctionType evaluate_func, const Common::ParameterType &param_type, GenericJacobianFunctionType jacobian_func, GenericDerivativeFunctionType derivative_func)¶: No documentation provided.

const GenericOrderFunctionType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::order_¶: No documentation provided.

const GenericPostBindFunctionType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::post_bind_¶: No documentation provided.

const GenericEvaluateFunctionType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::evaluate_¶: No documentation provided.

const GenericJacobianFunctionType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::jacobian_¶: No documentation provided.

const GenericDerivativeFunctionType Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::derivative_¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::BaseType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::GenericEvaluateFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::GenericPostBindFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::GenericOrderFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::GenericJacobianFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction::GenericDerivativeFunctionType¶: No documentation provided.

ThisType *Dune::XT::Functions::GenericGridFunction::copy_as_grid_function_impl() const override¶: No documentation provided.

int Dune::XT::Functions::GenericGridFunction::copy_as_grid_function() const¶: No documentation provided.

std::string Dune::XT::Functions::GenericGridFunction::name() const final¶: No documentation provided.

int Dune::XT::Functions::GenericGridFunction::local_function() const final¶: No documentation provided.

static GenericOrderFunctionType Dune::XT::Functions::GenericGridFunction::default_order_lambda(const int ord)¶

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´´These methods may be used to provide defaults on construction.‘’

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static GenericPostBindFunctionType Dune::XT::Functions::GenericGridFunction::default_post_bind_function()¶: No documentation provided.

static GenericEvaluateFunctionType Dune::XT::Functions::GenericGridFunction::default_evaluate_function()¶: No documentation provided.

static GenericJacobianFunctionType Dune::XT::Functions::GenericGridFunction::default_jacobian_function()¶: No documentation provided.

static GenericDerivativeFunctionType Dune::XT::Functions::GenericGridFunction::default_derivative_function()¶: No documentation provided.

template<> Dune::XT::Functions::GenericGridFunction::GenericGridFunction<E, r, rC, R>(const int ord, GenericPostBindFunctionType post_bind_func = default_post_bind_function(), GenericEvaluateFunctionType evaluate_func = default_evaluate_function(), const Common::ParameterType &param_type = Common::ParameterType(), std::string nm = <recovery-expr>("GenericGridFunction"), GenericJacobianFunctionType jacobian_func = default_jacobian_function(), GenericDerivativeFunctionType derivative_func = default_derivative_function())¶: No documentation provided.

template<> Dune::XT::Functions::GenericGridFunction::GenericGridFunction<E, r, rC, R>(GenericOrderFunctionType order_func, GenericPostBindFunctionType post_bind_func = default_post_bind_function(), GenericEvaluateFunctionType evaluate_func = default_evaluate_function(), const Common::ParameterType &param_type = Common::ParameterType(), std::string nm = <recovery-expr>("GenericGridFunction"), GenericJacobianFunctionType jacobian_func = default_jacobian_function(), GenericDerivativeFunctionType derivative_func = default_derivative_function())¶: No documentation provided.

template<> Dune::XT::Functions::GenericGridFunction::GenericGridFunction<E, r, rC, R>(const ThisType&) = default¶: No documentation provided.

template<> Dune::XT::Functions::GenericGridFunction::GenericGridFunction<E, r, rC, R>(ThisType&&) noexcept = default¶: No documentation provided.

const GenericOrderFunctionType Dune::XT::Functions::GenericGridFunction::order_¶

const GenericPostBindFunctionType Dune::XT::Functions::GenericGridFunction::post_bind_¶: No documentation provided.

const GenericEvaluateFunctionType Dune::XT::Functions::GenericGridFunction::evaluate_¶: No documentation provided.

const std::string Dune::XT::Functions::GenericGridFunction::name_¶: No documentation provided.

const GenericJacobianFunctionType Dune::XT::Functions::GenericGridFunction::jacobian_¶: No documentation provided.

const GenericDerivativeFunctionType Dune::XT::Functions::GenericGridFunction::derivative_¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::ThisType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::BaseType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::DomainType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::RangeType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::DerivativeRangeType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::RangeReturnType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::DerivativeRangeReturnType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::GenericOrderFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::GenericPostBindFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::GenericEvaluateFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::GenericJacobianFunctionType¶: No documentation provided.

type Dune::XT::Functions::GenericGridFunction::GenericDerivativeFunctionType¶: No documentation provided.

Class template Dune::XT::Functions::GenericGridFunction¶

Class Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction¶

Class template `Dune::XT::Functions::GenericGridFunction`¶

Class `Dune::XT::Functions::GenericGridFunction::LocalGenericGridFunction`¶