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sf_simp_P1.m
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%SF_SIMP_P1 Linear Lagrange shape function for simplices (P1).
%
% [ VBASE, NLDOF, XLDOF, SFUN ] = SF_SIMP_P1( I_EVAL, N_SDIM, N_VERT, I_DOF, XI, AINVJAC, VBASE )
% Evaluates conforming linear P1 Lagrange shape functions on simplices with
% values defined in the nodes. XI is Barycentric coordinates.
%
% Input Value/[Size] Description
% -----------------------------------------------------------------------------------
% i_eval scalar: 1 Evaluate function values
% >1 Evaluate values of derivatives
% n_sdim scalar: 1-3 Number of space dimensions
% n_vert scalar: 2-4 Number of vertices per cell
% i_dof scalar: 1-n_ldof Local basis function to evaluate
% xi [n_sdim+1] Local coordinates of evaluation point
% aInvJac [n,n_sdim+1*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
% Copyright 2013-2024 Precise Simulation, Ltd.