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- abc.ABC(builtins.object)
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- FE
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- Lagrange_FE
- Node_FE
class FE(abc.ABC) |
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This is the base class for all **scalar** finite element classes.
It provides a template for the evaluate method.
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- Method resolution order:
- FE
- abc.ABC
- builtins.object
Methods defined here:
- __init__(self)
- Initialize self. See help(type(self)) for accurate signature.
- evaluate(self, ip, deriv=False)
- Evaluates the (derivative of) finite element at given integration point(s).
Parameters:
ip (numpy.array): The integration point(s) at which to evaluate the finite element.
deriv (bool): Whether to evaluate the derivative of the finite element (or identity).
Returns:
numpy.array: The values of the finite element basis fcts. at the given integration point.
shape: (ndof) (for single ip)
or (dim, ndof) (for single ip and deriv = True)
or (len(ip), ndof) (for multiple ips)
or (len(ip), dim, ndof) (for multiple ips and deriv = True)
Data descriptors defined here:
- __dict__
- dictionary for instance variables
- __weakref__
- list of weak references to the object
Data and other attributes defined here:
- __abstractmethods__ = frozenset({'_evaluate_deriv', '_evaluate_id'})
- dim = None
- eltype = None
- ndof = None
- order = None
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class Lagrange_FE(FE) |
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This class represents a Lagrange finite element.
A Lagrange finite element associates the dofs with the nodes of the element.
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- Method resolution order:
- Lagrange_FE
- FE
- abc.ABC
- builtins.object
Methods defined here:
- __str__(self)
- Return str(self).
Data and other attributes defined here:
- __abstractmethods__ = frozenset({'_evaluate_deriv', '_evaluate_id'})
- nodes = None
Methods inherited from FE:
- __init__(self)
- Initialize self. See help(type(self)) for accurate signature.
- evaluate(self, ip, deriv=False)
- Evaluates the (derivative of) finite element at given integration point(s).
Parameters:
ip (numpy.array): The integration point(s) at which to evaluate the finite element.
deriv (bool): Whether to evaluate the derivative of the finite element (or identity).
Returns:
numpy.array: The values of the finite element basis fcts. at the given integration point.
shape: (ndof) (for single ip)
or (dim, ndof) (for single ip and deriv = True)
or (len(ip), ndof) (for multiple ips)
or (len(ip), dim, ndof) (for multiple ips and deriv = True)
Data descriptors inherited from FE:
- __dict__
- dictionary for instance variables
- __weakref__
- list of weak references to the object
Data and other attributes inherited from FE:
- dim = None
- eltype = None
- ndof = None
- order = None
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class Node_FE(FE) |
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FE for a point (node).
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- Method resolution order:
- Node_FE
- FE
- abc.ABC
- builtins.object
Methods defined here:
- __init__(self)
- Initialize self. See help(type(self)) for accurate signature.
Data and other attributes defined here:
- __abstractmethods__ = frozenset()
Methods inherited from FE:
- evaluate(self, ip, deriv=False)
- Evaluates the (derivative of) finite element at given integration point(s).
Parameters:
ip (numpy.array): The integration point(s) at which to evaluate the finite element.
deriv (bool): Whether to evaluate the derivative of the finite element (or identity).
Returns:
numpy.array: The values of the finite element basis fcts. at the given integration point.
shape: (ndof) (for single ip)
or (dim, ndof) (for single ip and deriv = True)
or (len(ip), ndof) (for multiple ips)
or (len(ip), dim, ndof) (for multiple ips and deriv = True)
Data descriptors inherited from FE:
- __dict__
- dictionary for instance variables
- __weakref__
- list of weak references to the object
Data and other attributes inherited from FE:
- dim = None
- eltype = None
- ndof = None
- order = None
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