Non‐linear space‐time elasticity

In this contribution we introduce a novel space-time formulation for non-linear elasticity, able to calculate large deformations and displacements with high efficiency using structured unstructured meshes in the cylinder without changing required regularity thus, enabling use of Lagrangian shape functions including tetrahedron hypertetrahedron or tesseract elements. The common indiscriminate treatment spatial temporal directions allows us remove one major bottlenecks parallel computations: design time-stepping schemes, which can neither been parallelized efficiently time nor allow local refinements as no information transfer backwards is possible. Moreover, stability schemes depend on accumulation approximation errors each time-step, contrast formulation, characterized by enhanced robustness. Eventually, will demonstrate superiority convergence against classical various examples highly sensitive systems context elasticity.