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Journal of Scientific Computing

, Volume 80, Issue 3, pp 1831–1831

# Correction to: The High-Order Mixed Mimetic Finite Difference Method for Time-Dependent Diffusion Problems

Correction
• 53 Downloads

## 1 Correction to: Journal of Scientific Computing  https://doi.org/10.1007/s10915-019-01002-4

The original version of this article unfortunately contained the following errors:

In Section 2, the reference to equations should be (see 2a–2e) instead of (see 2a–2d).

In equation (34a), the symbol $$\phi_{h}$$ should be $$\phi^{{\texttt {I}}}$$.

In the proof of Theorem 1, the reference to equation should be (32) instead of (34). Also, the penultimate sentence in the theorem proof should read as “We then note that $$\widehat{{\mathbf{u}}}_{h}$$ and $$\widehat{p}_{h}$$ are continuously differentiable with respect to t and solve the problem obtained by taking the derivative of (33).”

The superfluous (t) in equation (41) should be removed (i.e., $$[(({\text{div}}{\mkern 1mu} {\mathbf{u}})(t))^{{\texttt {I}}} (t),q_{h} ]_{{Q_{h} }}$$ should be changed as $$[(({\text{div}}{\mkern 1mu} {\mathbf{u}})(t))^{{\texttt {I}}} ,q_{h} ]_{{Q_{h} }}$$).

The expression $$\frac{\partial p}{\partial t}$$ in theorems 2–4 should be changed to $$\frac{dp}{dt}$$.

The double vertical bars $$\| \, \|$$ in few equations should be changed to triple vertical bars $$\|\!| \, \|\!|$$.

In inequality (46), the first two norms should have subscript $$X_h$$ instead of $$Q_h$$.

Finally, in the reference section, the author name should be ‘Beirão da Veiga, L.’ instead of ‘da Veiga, Beirão L.’.

The original article has been corrected.

## Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

## Authors and Affiliations

• Gianmarco Manzini
• 1
• Gianluca Maguolo
• 2
• Mario Putti
• 3
1. 1.Group T-5, Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA
2. 2.Department of Information EngineeringUniversity of PaduaPaduaItaly
3. 3.Department of Mathematics “Tullio Levi-Civita”University of PaduaPaduaItaly

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