每年出版 12 期
ISSN 打印: 1064-2315
ISSN 在线: 2163-9337
Indexed in
Model-Based Analysis of Biological Tissue Heating by Point Ultrasound Sources
摘要
Discretization of ultra weak boundary value problem for the Helmholtz equation, under the condition that the ultrasound source is described by Dirac delta function, is considered. To reduce the computational complexity, on the basis of the nature of processes, we use the approximation functions, which describe the wave processes.
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Luk K.H., Hulse R.M., Phillips T.L., Hyperthermia in cancer therapy.
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Cessenat O., Despres B., Application of an ultra weak variational formulation of elliptic PDEs to the two-dimensional Helmholtz problem.
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Huttunen Т., Kaipio J., Monk P., The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation.
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Huttunen Т., Monk P., Collino F., Kaipio J., The ultra weak variational formulation for elastic wave problems.
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Huttunen Т., Monk P., Kaipio J., Computational aspects of the ultra weak variational formulation.
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Malinen M., Huttunen Т., Kaipio J.P., An optimal control approach for ultrasound induced heating.
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Malinen M., Huttunen Т., Kaipio J.P., Thermal dose optimization method for ultrasound surgery.
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Pavlychko V.V., The ultra weak problem of propagation of acoustic waves caused by point impacts.
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Berenger J.P., A perfectly matched layer for the absorption of electromagnetic waves.
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Lassas M., Somersalo E., Analysis of the PML equations in general convex geometry.