sfepy.discrete.integrals module
Classes for accessing quadrature points and weights for various reference
element geometries.
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class sfepy.discrete.integrals.Integral(name, order=1, coors=None, weights=None, bounds=None, tp_fix=1.0, weight_fix=1.0, symmetric=False)[source]
Wrapper class around quadratures.
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get_qp(geometry)[source]
Get quadrature point coordinates and corresponding weights for given
geometry. For built-in quadratures, the integration order is given by
self.order.
Parameters: | geometry : str
The geometry key describing the integration domain,
see the keys of sfepy.discrete.quadratures.quadrature_tables.
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Returns: | coors : array
The coordinates of quadrature points.
weights: array :
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integrate(function, order=1, geometry='1_2')[source]
Integrate numerically a given scalar function.
Parameters: | function : callable(coors)
The function of space coordinates to integrate.
order : int, optional
The integration order. For tensor product geometries, this is the
1D (line) order.
geometry : str
The geometry key describing the integration domain. Default
is ‘1_2’, i.e. a line integral in [0, 1]. For other values
see the keys of sfepy.discrete.quadratures.quadrature_tables.
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Returns: | val : float
The value of the integral.
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class sfepy.discrete.integrals.Integrals(objs=None, **kwargs)[source]
Container for instances of Integral.
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static from_conf(conf)[source]
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get(name)[source]
Return existing or new integral.
Parameters: | name : str
The name can either be a non-negative integer, a string
representation of a non-negative integer (the integral
order) or ‘a’ (automatic order) or a string beginning with
‘i’ (existing custom integral name).
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