Add to ORKGA fundamentally new paradigm for finite-difference methods that aims to address both issues of numerical dispersion and geometrical modeling is presented. The given paradigm involves a rigorous mathematical framework based on concept from topology and differential geometry.link_to_subscribed_fulltex
. We have constructed reliable finite difference methods for approximating the solution to Maxwell&a...
A general mathematical framework for the computational modelling of electromagnetic fields interacti...
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying ...
A self-contained electromagnetic theory is derived on a regular lattice. The discretized form of int...
The main focus of this dissertation is to implement discrete exterior calculus (DEC) in electromagne...
159 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.The algebraic model of Part I...
The language of differential forms and topological concepts are applied to study classical electroma...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
191 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.The PML concept is then studi...
Discrete mathematics has been neglected for a long time. It has been put in the shade by the strikin...
We consider the computationally efficient time integration of Maxwell’s equations using discrete ex...
By exploiting the geometric structure behind Maxwell’s equations, the so called discrete geometric a...
This article discusses finite element Galerkin schemes for a number of lin-ear model problems in ele...
A formulation of elliptic boundary value problems is used to develop the first discrete exterior cal...
The theory of discrete electromagnetism (DEM) is quickly gaining ground in the computational electro...
. We have constructed reliable finite difference methods for approximating the solution to Maxwell&a...
A general mathematical framework for the computational modelling of electromagnetic fields interacti...
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying ...
A self-contained electromagnetic theory is derived on a regular lattice. The discretized form of int...
The main focus of this dissertation is to implement discrete exterior calculus (DEC) in electromagne...
159 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2002.The algebraic model of Part I...
The language of differential forms and topological concepts are applied to study classical electroma...
This chapter introduces the background needed to develop a geometry-based, principled approach to co...
191 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.The PML concept is then studi...
Discrete mathematics has been neglected for a long time. It has been put in the shade by the strikin...
We consider the computationally efficient time integration of Maxwell’s equations using discrete ex...
By exploiting the geometric structure behind Maxwell’s equations, the so called discrete geometric a...
This article discusses finite element Galerkin schemes for a number of lin-ear model problems in ele...
A formulation of elliptic boundary value problems is used to develop the first discrete exterior cal...
The theory of discrete electromagnetism (DEM) is quickly gaining ground in the computational electro...
. We have constructed reliable finite difference methods for approximating the solution to Maxwell&a...
A general mathematical framework for the computational modelling of electromagnetic fields interacti...
We revisit the theory of Discrete Exterior Calculus (DEC) in 2D for general triangulations, relying ...