The Finite Element Displayed
Simplifies the teaching of the finite element method. Topics covered include: the approximation of continuous functions over sub-domains in terms of nodal values; interpolation functions for classical elements in one, two, and three dimensions; fundamental element vectors and matrices and assembly techniques; numerical methods of integration; matrix Eigenvalue and Eigenvector problems; and Fortran programming techniques. Contains tables of formulas and constants for constructing codes.
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Matrix Formulation of the Finite Element Method
5 other sections not shown
algorithm approximation array ASKD ASMB ASSD BBMC BBME block BLPE boundary conditions CALL ESPACE computation degrees of freedom derivatives DIMENSION eigenvalues eigenvectors element of reference EQBL equation Example ExCN ExCR ExCR ExCR ExEL ExLD ExLM ExNL ExNL ExNL ExTE ExVA ExVA ExVA Figure Finite Element Analysis Finite Element Method FORMAT GAUT GAUT GAUT GAUT geometrical nodes GRIL IMPLICIT REAL*8 INEL integral form integration points interpolation interpolation functions INVE INVE INVE iteration JACB JACB JACB JACI JACI JACI Jacobian matrix KDLNC KEXP KLOCE Köu linear MODF NDIM NIO1 NIQ NIQ NIQ nodal variables nodes NSYM number of degrees number of nodes paragraph PNIN Poisson's equation polynomial basis problems real element reference element SOLD SOLD SOLD solution SUBROUTINE TENI TENI TENI transformation triangular VCORE VDIMP VDLE VKGI VKGS VPREE VPRNE WKGD WKGS WRITE(MP