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Shape Derivatives of the Eigenvalues of the De Rham Complex for Lipschitz Deformations and Variable Coefficients: Part I

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Way More than the Sum of Their Parts: From Statistical to Structural Mixtures. [PDF]

Entropy (Basel)
Crutchfield JP.
europepmc   +1 more source

The Information Dynamics of Generative Diffusion. [PDF]

Entropy (Basel)
Stančević D, Ambrogioni L.
europepmc   +1 more source

Design and optimization of a butterfly-shaped grafting clip and cutting mechanism based on finite element simulation. [PDF]

PLoS One
Su Q, Wu L, Yue Q, Gao X, Cao X, Shi H.
europepmc   +1 more source

Mechanical stress on the rod in posterior spinal fusion with and without rod fracture: a finite element analysis. [PDF]

BMC Musculoskelet Disord
Inoue T, Kumano Y, Sugaya J, Okazaki K, Doi T.   +4 more
europepmc   +1 more source

Optimizing the Tensile Performance of Repaired CFRP Laminates with Different Patch Parameters Using a Surrogate-Based Model. [PDF]

Materials (Basel)
Yin Z, Wei H, Ma Z, Man R, Yu J, Wang X, Liu H.   +6 more
europepmc   +1 more source