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sf_hex_Q1.m
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sf_hex_Q1.m
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%SF_HEX_Q1 Trilinear conforming shape function for hexahedrons (Q1).
%
% [ VBASE, NLDOF, XLDOF, SFUN ] = SF_HEX_Q1( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE )
% Evaluates conforming trilinear Q1 shape functions on hexahedrons with
% values defined in the nodes. XI is [-1..1]^3 reference coordinates.
%
% Input Value/[Size] Description
% -----------------------------------------------------------------------------------
% i_eval scalar: 1 Evaluate function values
% >1 Evaluate values of derivatives
% n_sdim scalar: 3 Number of space dimensions
% n_vert scalar: 8 Number of vertices per cell
% i_dof scalar: 1-n_ldof Local basis function to evaluate
% xi [n_sdim] Local coordinates of evaluation point
% aInvJac [n,n_sdim*n_sdim] Inverse of transformation Jacobian
% vBase [n] Preallocated output vector
% .
% Output Value/[Size] Description
% -----------------------------------------------------------------------------------
% vBase [n] Evaluated function values
% nLDof [4] Number of local degrees of freedom on
% vertices, edges, faces, and cell interiors
% xLDof [n_sdim,n_ldof] Local coordinates of local dofs
% sfun string Function name of called shape function
%
% See also SFLAG1, SF_HEX_Q1NC
% Copyright 2013-2024 Precise Simulation, Ltd.