Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions
نویسندگان
چکیده
We study boundary integral formulations for an interior/exterior initial value problem arising from the thermo-elasto-dynamic equations in a homogeneous and isotropic domain. The time dependence is handled, based on Lubich's approach, through passage to Laplace focus cases where one of unknown fields satisfies Dirichlet condition, while other subject conditions Neumann type. In domain, combined simple- double-layer potential operators are introduced proven be coercive. Based domain estimates, it possible prove existence uniqueness solutions This analysis complements previous results that may serve as mathematical foundation discretization schemes use element method convolution quadrature.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/20m1372834