The Douglas-Gunn method has been applied to the solution of Pennes' bioheat equation to estimate the heating of bulk metallic prostheses caused by the energy deposition due to the gradient magnetic field of a magnetic resonance imaging (MRI) scanner. The proposed method has been implemented to work on a graphic processing unit and the accuracy and numerical efficiency has been compared with the explicit Euler scheme. As an example of application, the heating of a realistic hip prosthesis during the execution of a 3-D true fast imaging with steady precession MRI sequence has been finally evaluated.
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Arduino et al. (2017) studied this question.
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