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Open AccessMultidimensional rank-one convexification of incremental damage models at finite strains
This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potentials in multiple spatial dime...
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Open AccessReconstruction of Quasi-Local Numerical Effective Models from Low-Resolution Measurements
We consider the inverse problem of reconstructing an effective model for a prototypical diffusion process in strongly heterogeneous media based on coarse measurements. The approach is motivated by quasi-local ...
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On the stability of the Rayleigh–Ritz method for eigenvalues
This paper studies global stability properties of the Rayleigh–Ritz approximation of eigenvalues of the Laplace operator. The focus lies on the ratios ...
