calcBasisIntegrals function

Utility function that calculates matrix of basis-scalar products (one dimension)

If the element $X^{(j)}$ is expanded in basis functions $b_i(t)$, this function calculates the $K_j \times K_j$ matrix $B^{(jj)}$ with entries [REMOVE_ME]$B^{(jj)}_{mn} = \int_{\mathcal{T_j}} b_m^{(j)}(t) b_n^{(j)}(t) \mathrm{d} t [REMOVE_ME_2]$.

calcBasisIntegrals(basisFunctions, dimSupp, argvals)

Arguments

• basisFunctions: Array of npc basis functions of dimensions npc x M1 or npc x M1 x M2.
• dimSupp: dimension of the support of the basis functions (1 or 2)
• argvals: List of corresponding x-values.

Returns

A matrix containing the scalar product of all combinations of basis functions (matrix $B^{(j)}$)

Description

If the element $X^{(j)}$ is expanded in basis functions $b_i(t)$, this function calculates the $K_j \times K_j$ matrix $B^{(jj)}$ with entries

.

Warning

This function is implemented only for functions on one- or two-dimensional domains.

See Also

MFPCA, dimSupp