Finite element exterior calculus, homological techniques, and applications

@article{Arnold2006FiniteEE,
  title={Finite element exterior calculus, homological techniques, and applications},
  author={Douglas N. Arnold and Richard S. Falk and Ragnar Winther},
  journal={Acta Numerica},
  year={2006},
  volume={15},
  pages={1 - 155}
}
Finite element exterior calculus is an approach to the design and understanding of finite element discretizations for a wide variety of systems of partial differential equations. This approach brings to bear tools from differential geometry, algebraic topology, and homological algebra to develop discretizations which are compatible with the geometric, topological, and algebraic structures which underlie well-posedness of the PDE problem being solved. In the finite element exterior calculus… 
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