1 Correction to: Computational Mechanics https://doi.org/10.1007/s00466-020-01919-w

An earlier version of this article included a number of typesetting mistakes. These were corrected on October 16, 2020. The publisher apologizes for the errors made during production. The symbol “Λn” was incorrectly published as “Γn” in the equations (46) and (47). The correct equations are provided in this correction.

$$ \{ {\hat{\mathbf{A}}}_{\text{n}} \} {_-} = {\mathbf{MT}}\{ {\varvec{\Lambda}}_{\text{n}} \} {_-} {\mathbf{T}}^{ - 1} {\mathbf{M}}^{ - 1} , $$
(46)
$$ {\varvec{\Lambda}}_{\text{n}} = \left[ {\begin{array}{*{20}l} {u_{n} } \hfill & 0 \hfill & 0 \hfill & 0 \hfill & 0 \hfill \\ 0 \hfill & {u_{n} } \hfill & 0 \hfill & 0 \hfill & 0 \hfill \\ 0 \hfill & 0 \hfill & {u_{n} } \hfill & 0 \hfill & 0 \hfill \\ 0 \hfill & 0 \hfill & 0 \hfill & {u_{n} + c} \hfill & 0 \hfill \\ 0 \hfill & 0 \hfill & 0 \hfill & 0 \hfill & {u_{n} - c} \hfill \\ \end{array} } \right] $$
(47)

Also under the section “4.3 Weak-boundary-condition operator”, the sentence “It Γn is computed, based on the eigenvalue decomposition ΓnT−1 associated with hyperbolic equation systems (see, e.g., [196]), using the expression” above the equation (46) should read as “It is computed, based on the eigenvalue decomposition TΛnT−1 associated with hyperbolic equation systems (see, e.g., [196]), using the expression” and the sentence “is the matrix of transformation from the vector [ρ uT p]T to U, and {Γn}− is the negative part of Γn, which is easily computed.” below the equation (49) should read as “is the matrix of transformation from the vector [ρ uT p]T to U, and {Λn}− is the negative part of Λn, which is easily computed”.

Further, the values in the Table 5 was published incorrectly. The correct table is provided in this correction (Table 5).

Table 5 Mesh data for the quadratic NURBS and linear tetrahedral meshes
Full size table

The original article has been corrected.