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
- geometrystr
The geometry key describing the integration domain, see the keys of sfepy.discrete.quadratures.quadrature_tables.
- Returns
- coorsarray
The coordinates of quadrature points.
- weights: array
The quadrature weights.
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integrate
(function, order=1, geometry='1_2')[source]¶ Integrate numerically a given scalar function.
- Parameters
- functioncallable(coors)
The function of space coordinates to integrate.
- orderint, optional
The integration order. For tensor product geometries, this is the 1D (line) order.
- geometrystr
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.
- Returns
- valfloat
The value of the integral.
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