A compiler for variational forms
As a key step towards a complete automation of the finite element method, we present a new
algorithm for automatic and efficient evaluation of multilinear variational forms. The algorithm …
algorithm for automatic and efficient evaluation of multilinear variational forms. The algorithm …
[HTML][HTML] Whitney forms and their extensions
J Lohi, L Kettunen - Journal of Computational and Applied Mathematics, 2021 - Elsevier
Whitney forms are widely known as finite elements for differential forms. Whitney's original
definition yields first order functions on simplicial complexes, and a lot of research has been …
definition yields first order functions on simplicial complexes, and a lot of research has been …
[图书][B] The mathematical structure of classical and relativistic physics
E Tonti - 2013 - Springer
Why do we have analogies in physics? This question has been the leitmotif of the author's
research for about half a century. Six physical theories are considered: particle mechanics …
research for about half a century. Six physical theories are considered: particle mechanics …
Differential forms in lattice field theories: An overview
FL Teixeira - International Scholarly Research Notices, 2013 - Wiley Online Library
Differential Forms in Lattice Field Theories: An Overview - Teixeira - 2013 - International Scholarly
Research Notices - Wiley Online Library Skip to Article Content Skip to Article Information …
Research Notices - Wiley Online Library Skip to Article Content Skip to Article Information …
Mixed finite-element time-domain method for transient Maxwell equations in doubly dispersive media
B Donderici, FL Teixeira - IEEE transactions on microwave …, 2008 - ieeexplore.ieee.org
We describe a mixed finite-element time-domain algorithm to solve transient Maxwell
equations in inhomogeneous and doubly dispersive linear media where both the permittivity …
equations in inhomogeneous and doubly dispersive linear media where both the permittivity …
High-order RKDG methods for computational electromagnetics
MH Chen, B Cockburn, F Reitich - Journal of Scientific Computing, 2005 - Springer
In this paper we introduce a new RKDG method for problems of wave propagation that
achieves full high-order convergence in time and space. The novelty of the method resides …
achieves full high-order convergence in time and space. The novelty of the method resides …
Differential forms, Galerkin duality, and sparse inverse approximations in finite element solutions of Maxwell equations
B He, FL Teixeira - IEEE Transactions on Antennas and …, 2007 - ieeexplore.ieee.org
We identify primal and dual formulations in the finite element method (FEM) solution of the
vector wave equation using a geometric discretization based on differential forms. These two …
vector wave equation using a geometric discretization based on differential forms. These two …
A new efficient 3D discontinuous Galerkin time domain (DGTD) method for large and multiscale electromagnetic simulations
Abstract A new Discontinuous Galerkin Time Domain (DGTD) method for solving the 3D time
dependent Maxwell's equations via the electric field intensity E and magnetic flux density B …
dependent Maxwell's equations via the electric field intensity E and magnetic flux density B …
An arbitrary Lagrangian–Eulerian discretization of MHD on 3D unstructured grids
We present an arbitrary Lagrangian–Eulerian (ALE) discretization of the equations of
resistive magnetohydrodynamics (MHD) on unstructured hexahedral grids. The method is …
resistive magnetohydrodynamics (MHD) on unstructured hexahedral grids. The method is …
[PDF][PDF] State-of-the-art, trends, and directions in computational electromagnetics
F Reitich, KK Tamma - Computer Modeling in Engineering and Sciences, 2004 - Citeseer
Electromagnetic devices are ubiquitous in present day technology. Indeed,
electromagnetism has found and continues to find applications in a wide array of areas …
electromagnetism has found and continues to find applications in a wide array of areas …