A Stationary Formulation of the Space-time Finite Element Method

Non-linear shape functions over time in the space-time finite element method

“…However, errors in the solution resulting from assumption of an excessive integration step should be taken into account when using this algorithm, cf. [9,10].…”

“…In his work [8], and later, in works [9,10] Kacprzyk presented an unconditionally stable formulation of the space-time finite element method. These works provide a generalisation of the derivation presented by Kączkowski and Langer [4], which is, however, quite different from the basic idea of the method presented in works of Kączkowski [1][2][3].…”