Bounded cochain complexes are built between simplicial and Čech-de Rham complexes, producing a priori and a posteriori error estimates for their Hodge-Laplace problems.
Poincar´ e-Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments.Computers & Mathematics with Applications, 79(11):3027–3067
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Approximation properties of double complexes
Bounded cochain complexes are built between simplicial and Čech-de Rham complexes, producing a priori and a posteriori error estimates for their Hodge-Laplace problems.