exahype2.solvers.LagrangeBasis.LagrangeBasis Class Reference

Abstract base class for all Lagrange bases available in ExaHyPE 2. More...

Inheritance diagram for exahype2.solvers.LagrangeBasis.LagrangeBasis:

Public Member Functions
	__init__ (self, polynomial_order, render_digits=64)
	order (self)
	dofs_per_axis (self)
	init_dictionary_with_default_parameters (self, dictionary, use_multidimensional_arrays)
	To be implemented by subclass.

Protected Attributes
	_polynomial_order
	_render_digits

Detailed Description

Abstract base class for all Lagrange bases available in ExaHyPE 2.

This tool relies heavily on SciPy. I could have used sympy as well, but eventually decided to keep it as simple as possible. So I work with functors and no symbolic representation. But I could

Definition at line 90 of file LagrangeBasis.py.

Constructor & Destructor Documentation

__init__()

exahype2.solvers.LagrangeBasis.LagrangeBasis.__init__	(		self,
			polynomial_order,
			render_digits = 64 )

Reimplemented in exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix, exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.GaussLegendreBasis, and exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.GaussLobattoBasisWithLumpedDiagonalBasis.

Definition at line 102 of file LagrangeBasis.py.

Member Function Documentation

dofs_per_axis()

exahype2.solvers.LagrangeBasis.LagrangeBasis.dofs_per_axis

(

self

)

Definition at line 113 of file LagrangeBasis.py.

References exahype2.solvers.LagrangeBasis.LagrangeBasis._polynomial_order, and exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix._polynomial_order.

Referenced by exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_basis_function_values_left(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_derivative_operator(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_mass_matrix_diagonal(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_restriction_matrix(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_stiffness_operator(), peano4.toolbox.blockstructured.ReconstructPatchAndApplyFunctor.ReconstructPatchAndApplyFunctor._add_action_set_entries_to_dictionary(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.derivative1d(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.GaussLobattoBasisWithLumpedDiagonalBasis.quadrature_points(), and exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.value1d().

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init_dictionary_with_default_parameters()

exahype2.solvers.LagrangeBasis.LagrangeBasis.init_dictionary_with_default_parameters	(		self,
			dictionary,
			use_multidimensional_arrays )

To be implemented by subclass.

multidimensional_arrays: Boolean If it is to False, all the matrices should be flattened into one array (C enumeration). If it is set, the matrices should be written down as proper two-dimensional arrays. Analogously, all inter-grid transfer operators either are represented as array or as d-dimensional construct.

Reimplemented in exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.

Definition at line 119 of file LagrangeBasis.py.

Referenced by exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__str__().

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order()

exahype2.solvers.LagrangeBasis.LagrangeBasis.order

(

self

)

Definition at line 108 of file LagrangeBasis.py.

References exahype2.solvers.LagrangeBasis.LagrangeBasis._polynomial_order, and exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix._polynomial_order.

Referenced by exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.init_dictionary_with_default_parameters().

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Field Documentation

_polynomial_order

exahype2.solvers.LagrangeBasis.LagrangeBasis._polynomial_order

protected

Definition at line 103 of file LagrangeBasis.py.

Referenced by exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.LagrangeBasisWithDiagonalMassMatrix.__compute_restriction_matrix(), exahype2.solvers.LagrangeBasis.LagrangeBasis.dofs_per_axis(), exahype2.solvers.LagrangeBasis.LagrangeBasis.order(), exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.GaussLegendreBasis.quadrature_points(), and exahype2.solvers.LagrangeBasisWithDiagonalMassMatrix.GaussLegendreBasis.quadrature_weights().

_render_digits

exahype2.solvers.LagrangeBasis.LagrangeBasis._render_digits

protected

Definition at line 104 of file LagrangeBasis.py.

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The documentation for this class was generated from the following file:

• python/exahype2/solvers/LagrangeBasis.py