Articles with "dimensional problems" as a keyword



Metamodeling for high dimensional design problems by multi-fidelity simulations

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Published in 2017 at "Structural and Multidisciplinary Optimization"

DOI: 10.1007/s00158-017-1655-y

Abstract: Multi-fidelity metamodeling provides an efficient way to approximate expensive black-box problems by utilizing the samples of multiple fidelities. While it still faces the challenge of “curse-of-dimensionality” when used in approximating high dimensional problems. On the… read more here.

Keywords: high dimensional; fidelity; dimensional problems; multi fidelity ... See more keywords

Complete solutions of three-dimensional problems in transversely isotropic media

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Published in 2018 at "Continuum Mechanics and Thermodynamics"

DOI: 10.1007/s00161-018-0733-8

Abstract: We present a systematic approach to the derivation of complete solutions for three-dimensional transversely isotropic elastic problems. The class of solutions derived in the paper is obtained by exploiting the entire kernel of the differential… read more here.

Keywords: three dimensional; isotropic media; dimensional problems; solutions three ... See more keywords
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Integral Representations of Fields in Three-Dimensional Problems of Diffraction by Penetrable Bodies

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Published in 2020 at "Differential Equations"

DOI: 10.1134/s0012266120090050

Abstract: For the boundary value problem of diffraction of an external disturbance by a local penetrable body with smooth surface, we construct an integral representation of the solution based on a linear combination of single and… read more here.

Keywords: three dimensional; dimensional problems; representations fields; integral representations ... See more keywords