Computational Performance of a Weighted Regularized Maxwell Equation Finite Ele- Ment Formulation
نویسندگان
چکیده
The aim of this work is to asses the computational performance of a finite element formulation based on nodal elements and the regularized Maxwell equations. We analyze the memory requirements and the condition number of the matrix when the formulation is applied to electromagnetic engineering problems. As a reference, we solve the same problems with the best known finite element formulation based on edge elements and the double curl Maxwell equations. Finally, we compare and discuss the computational efficiency of both approaches.
منابع مشابه
ERMES: A nodal-based finite element code for electromagnetic simulations in frequency domain
In this work we present a new finite element code in frequency domain called ERMES. The novelty of this computational tool rest on the formulation behind it. ERMES is the C++ implementation of a simplified version of the weighted regularized Maxwell equation method. This finite element formulation has the advantage of producing well-conditioned matrices and the capacity of solving problems in t...
متن کاملA first-order system least-squares finite element method for the Poisson-Boltzmann equation
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this article, we focus on numerical approximations to the electrostatic potential expressed in the regularized linear Poisson-Boltzmann equation. We expose the flux directly through a first-order system form of the equation. Using this formulation, we propose a system that yields a tractable leas...
متن کاملWeighted Regularization for Composite Materials in Electromagnetism
In this paper, a weighted regularization method for the time-harmonic Maxwell equations with perfect conducting or impedance boundary condition in composite materials is presented. The computational domain Ω is the union of polygonal or polyhedral subdomains made of different materials. As a result, the electromagnetic field presents singularities near geometric singularities, which are the int...
متن کاملParallel 3 D Maxwell Solvers based on Domain Decomposition Data Distribution
The most efficient solvers for finite element (fe) equations are certainly multigrid, or multilevel methods, and domain decomposition methods using local multigrid solvers. Typically, the multigrid convergence rate is independent of the mesh size parameter, and the arithmetical complexity grows linearly with the number of unknowns. However, the standard multigrid algorithms fail for the Maxwell...
متن کاملStability and Consistency of the Semi-implicit Co-volume Scheme for Regularized Mean Curvature Flow Equation in Level Set Formulation
Abstract. We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using so-called complementary volumes to a finite element triangulation. The scheme gives solution in ...
متن کامل