This paper describes a 3D numerical model simulator developed to solve the forward problem of Magnetic Induction Tomography (MIT) for biological tissues, based on finite-differences. It is aimed to simulate experimental setups in harmonic, linear quasistatic conditions. A small presentation of the MIT paradigm and the theoretical electromagnetic background under the implementation of the simula...

Solving inverse problems based on computationally demanding forward models is ubiquitously difficult since one is necessarily limited to just a few observations of the response surface. The usual practice is to replace the response surface with a surrogate. However, this approach induces additional uncertainties on the posterior distributions. The main contribution of this work is the reformula...

For solving electroencephalographic forward problem, coupled method of finite element method FEM and fast moving least square reproducing kernel method FMLSRKM which is a kind of meshfree method is proposed. Current source modeling for FEM is complicated, so source region is analyzed usingmeshfreemethod. First order of shape function is used for FEM and second order for FMLSRKM because FMLSRKM ...

In this paper the meshfree method is developed to solve the forward problem for electrical impedance tomography. Differing from finite element method and finite volume method, there is no mesh generation in meshfree method, which is easier to realize and more propitious to be developed as an adaptive procedures for image reconstruction. Numerical simulation results are presented and compared wi...

Model predictive control (MPC) is often used for controlling the autonomous vehicle tracking target path. But to apply MPC schemes, nonlinear model of kinematics needs be approximately converted a linear format, and path problem has into certain formats in order implement solver convex quadratic programming. To solve these issues, strategy combining genetic algorithm (GA) put forward. The adopt...

A numerical dynamic-aerodynamic interface for simulating the separation dy­n­a­m­ic­s of co­n­­s­t­r­a­i­ned strap-on boosters jettisoned in the atmosphere is presented. A 6-DOF multi body dynamic solver ،using Constraint For­ce Equation Methodology is coupled with a numerical time dependent Euler flow solver. An automatic dyna­m­i­­c mesh updating proc­e­d­ure is employed using smoothing and l...

Dynamic Positron Emission Tomography allows monitoring physiological processes within the body that can be described by kinetic parameters. However, recovery of these parameters often requires the solution of complex and nonlinear operator equations. Advanced operator splitting techniques allow incorporating a-priori knowledge, e.g. sparsity of minimizers with respect to an exponential basis, i...

The family of iterative methods for static and natural vibration analysis, based on preconditioned conjugate gradient (PCG) method with aggregation multilevel preconditioning, is considered. Both: the element-by-element procedure for assembling of stiffness matrix and sparse direct solver for it factoring and fast forward − backward substitutions ensure the high stability of methods against ill...

We develop a fast and accurate solver for the forward problem of diffusion tomography in the case of several spherical inhomogeneities. The approach allows one to take into account multiple scattering of diffuse waves between different inhomogeneities. Theoretical results are illustrated with numerical examples; excellent numerical convergence and efficiency are demonstrated. The method is gene...

This paper presents a novel method for phase unwrapping for phase sensitive reconstruction in MR imaging. The unwrapped phase is obtained by integrating the phase gradient by solving a Poisson equation. An efficient solver, which has been made publicly available, is used to solve the equation. The proposed method is demonstrated on a fat quantification MRI task that is a part of a prospective s...