Strategies for computing goal‐oriented a posteriori error measures in non‐linear elasticity

By Fredrik Larsson, Peter Hansbo, Kenneth Runesson. 2002

79 citations recorded by the source corpus.

Subfields: Computational Mechanics, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/0c72c4531e059ca314b03cb156c3036a59b27e89

Citations in the corpus

• Adaptive strategies and error control for computing material forces in fracture mechanics (2004, unknown): “Choosing w = u − uh leads to ES(u, uh; u − uh) = E(u, uh) − E(uh, uh) = E(u, uh) (5) The dual bilinear form a∗ S(u, uh; w, v) is defined as a∗ S(u, uh; w, v) = aS(u, uh; v, w) = ∫ 1 0 a′(ū(s), v; w) ds (6) where aS(u, uh; v, w) is the secant stiffness of the primal problem.”