Computation of Electrostatic Field near Three-Dimensional Corners and Edges
N. Majumdar, S. Mukhopadhyay
备注：
Presented in International Conference on Computational and Experimental Engineering and Sciences held at IIT Madras, Chennai, India, during 1-6 December, 2005
Theoretically, the electric field becomes infinite at corners of two and three dimensions and edges of three dimensions. Conventional finite-element and boundary element methods do not yield satisfactory results at close proximity to these singular locations. In this paper, we describe the application of a fast and accurate BEM solver (which usesexact analytic expressions to compute the effect of source distributions on flatsurfaces) to compute the electric field near three-dimensional corners and edges. Results have been obtained for distances as close as 1$μm$ near the corner/edge and good agreement has been observed between the present results and existing analytical solutions.
A P-Adaptive Hybridizable Discontinuous Galerkin Spectral Element Method for Electrostatic Particle-in-Cell Simulations
University of Stuttgart（斯图加特大学）；Institute of Space Systems, University of Stuttgart（斯图加特大学空间研究所）；boltzplatz - numerical plasma dynamics GmbH（boltzplatz 数值等离子体动力学有限公司）
Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach
Projection-based embedded discrete fracture model (pEDFM) for flow and heat transfer in real-field geological formations with corner-point grid geometries
