VALDMAN, J. Fast MATLAB assembly of FEM matrices in 2D and 3D: Nodal elements. APPLIED MATHEMATICS AND COMPUTATION. 2013, 219(13), 7151-7158. ISSN 0096-3003. DOI 10.1016/j.amc.2011.08.043.
We propose an effective and flexible way to assemble finite element stiffness and mass matrices in MATLAB. The major loops in the code have been vectorized using the so called array operation in MATLAB, and no low level languages like the C or Fortran has been used for the purpose. The implementation is based on having the vectorization part separated, in other words hidden, from the original code thereby preserving its original structure, and its flexibility as a finite element code. The code is fast and scalable with respect to time.
eng
dc.format.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.relation.ispartof
APPLIED MATHEMATICS AND COMPUTATION
dc.subject
MATLAB code vectorization
eng
dc.subject
Finite elements
eng
dc.subject
Stiffness Mass matrices
eng
dc.title
Fast MATLAB assembly of FEM matrices in 2D and 3D: Nodal elements