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Reference documentation for deal.II version 9.1.1
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Classes | |
class | Fourier |
class | Legendre |
Functions | |
template<int dim, typename CoefficientType > | |
std::pair< std::vector< unsigned int >, std::vector< double > > | process_coefficients (const Table< dim, CoefficientType > &coefficients, const std::function< std::pair< bool, unsigned int >(const TableIndices< dim > &)> &predicate, const VectorTools::NormType norm) |
std::pair< double, double > | linear_regression (const std::vector< double > &x, const std::vector< double > &y) |
This namespace offers functions to calculate expansion series of the solution on the reference element. Coefficients of expansion are often used to estimate local smoothness of the underlying FiniteElement field to decide on h- or p-adaptive refinement strategy.
std::pair<std::vector<unsigned int>, std::vector<double> > FESeries::process_coefficients | ( | const Table< dim, CoefficientType > & | coefficients, |
const std::function< std::pair< bool, unsigned int >(const TableIndices< dim > &)> & | predicate, | ||
const VectorTools::NormType | norm | ||
) |
Calculate the norm
of subsets of coefficients
defined by predicate
being constant. Return the pair of vectors of predicate values and the vector of calculated subset norms.
predicate
should return a pair of bool
and unsigned int
. The former is a flag whether a given TableIndices should be used in calculation, whereas the latter is the unrolled value of indices according to which the subsets of coefficients will be formed.
norm
are implemented and make sense in this case: mean, L1_norm, L2_norm, Linfty_norm. The mean norm can only be applied to real valued coefficients. std::pair< double, double > FESeries::linear_regression | ( | const std::vector< double > & | x, |
const std::vector< double > & | y | ||
) |
Linear regression least-square fit of \(y = k \, x + b\). The size of the input vectors should be equal and more than 1. The returned pair will contain \(k\) (first) and \(b\) (second).
Definition at line 30 of file fe_series.cc.