Boundary Element Simulation of Thermal Waves |
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Authors: | María-Luisa Rapún Francisco-Javier Sayas |
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Affiliation: | (1) Dep. Matemática Aplicada, Fac. CC. Biológicas, Universidad Complutense de Madrid, Ciudad Universitaria, 28040 Madrid, Spain;(2) Dep. Matemática Aplicada, Universidad de Zaragoza C.P.S., 50018 Zaragoza, Spain |
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Abstract: | In this paper we survey computational techniques based on boundary integral formulations for the simulation of thermal waves.
Time-harmonic solutions to diffusion problems appear in many physical situations of interest and give rise to many interesting
problems related to material characterization, parameter assessment or detection of defects. We review the main direct, indirect
and mixed integral numerical methods for a model of scattering of thermal waves by many obstacles and discuss how multiple
scattering techniques and other physical tools can be understood as iterative methods or used as preconditioners. We also
deal with some transient problems that can be solved with boundary element methods using the Laplace transform and with coupled
finite and boundary element schemes for non-homogeneous obstacles. |
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