GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Journal of Computational Physics
Performance of ILU preconditioning techniques in simulating anisotropic diffusion in the human brain
Future Generation Computer Systems - Special issue: Advanced services for clusters and internet computing
A numerical study of a 3D bioheat transfer problem with different spatial heating
Mathematics and Computers in Simulation
Hi-index | 0.98 |
A mathematical model describing the thermomechanical interactions in biological bodies at high temperature is proposed by treating the soft tissue in biological bodies as a thermoporoelastic media. The heat transfer and elastic deformation in soft tissues are examined based on the Pennes bioheat transfer equation and the modified Duhamel-Neuman equations. The three-dimensional governing equations based on the proposed model is discretized using a 19-point finite-difference scheme. The resulting large sparse linear system is solved by a preconditioned Krylov subspace method. Numerical simulations show that the proposed model is valid under our test conditions and the proposed numerical techniques are efficient.