Numerical modelling techniques are not new for mining industry and civil engineering projects anymore. These techniques have been widely used for rock engineering problems such as stability analysis and support design of roadways and tunnels, caving and subsidence prediction, and stability analysis of rock slopes. Despite the significant advancement in the computational mechanics and availabili...

Our objective is to solve a parameter identification inverse problem arising in electromagnetics. We give a brief discussion of the methodology used for obtaining forward solutions to Maxwell’s equations in two dimensions, in the presence of a Debye medium. A careful consideration of the noise model for data generation leads to a nonlinear least squares formulation of the inverse problem, and t...

A computational tool for application to educational Electromagnetics is presented. Integrating a set of numerical modules, it allows the simulation and demo of several radio wave-propagation scenarios at the Earth surface. The application was developed using MATLAB and includes field interference due to ground reflection, ray-tracing in a stratified atmosphere, sub-refraction mirage effects, si...

We study classical control problems like pole assignment, stabilization, linear quadratic control and H∞ control from a numerical analysis point of view. We present several examples that show the difficulties with classical approaches and suggest reformulations of the problems in a more general framework. We also discuss some new algorithmic approaches.

This paper presents an efficient technique for fast generation of sparse systems of linear equations arising in computational electromagnetics in a finite element method using higher order elements. The proposed approach employs a graphics processing unit (GPU) for both numerical integration and matrix assembly. The performance results obtained on a test platform consisting of a Fermi GPU (1x T...

We continue our study [R. Aylwin, C. Jerez-Hanckes, Schwab and J. Zech, Domain uncertainty quantification in computational electromagnetics, SIAM/ASA Uncertain. Quant. 8 (2020) 301–341] of the numerical approximation time-harmonic electromagnetic fields for Maxwell lossy cavity problem uncertain geometries. adopt same affine-parametric shape parametrization framework, mapping physical domains t...

In recent years, two important techniques for geometric numerical discretization have been developed. In computational electromagnetics, spatial discretization has been improved by the use of mixed finite elements and discrete differential forms. Simultaneously, the dynamical systems and mechanics communities have developed structure-preserving time integrators, notably variational integrators ...