Journal Article10.1016/J.CPC.2009.12.018
Spectral element spatial discretization error in solving highly anisotropic heat conduction equation
TL;DR: It is shown that for a given number of spatial degrees of freedom, increasing polynomial degree while reducing the number of elements results in exponential reduction of the numerical error.
read more
About: This article is published in Computer Physics Communications. The article was published on 01 May 2010. The article focuses on the topics: Discretization & Degree of a polynomial.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Finite-difference schemes for anisotropic diffusion
TL;DR: Several discretisation schemes are developed and applied to the anisotropic heat diffusion equation on a non-aligned grid, both to improve existing methods and to help open the possibility of applying regular non- aligned grids.
59
Modeling Plasmas with Strong Anisotropy, Neutral Fluid Effects, and Open Boundaries
E.T. Meier
- 01 Jan 2011
TL;DR: Modeling Plasmas with Strong Anisotropy, Neutral Fluid Effects, and Open Boundaries as discussed by the authors is a popular approach for modeling clouds with strong anisotropic properties.
33
Physics-Based-Adaptive Plasma Model for High-Fidelity Numerical Simulations
Andrew Ho,Iman Datta,Uri Shumlak +2 more
TL;DR: A physics-based-adaptive plasma model and an appropriate computational algorithm are developed to numerically simulate plasma phenomena in high fidelity and the solution approach offers high-order accuracy and computational efficiency.
Three-Dimensional Magnetic Reconnection Through A Moving Magnetic Null.
Vyacheslav S. Lukin,Mark G. Linton +1 more
- 01 May 2011
TL;DR: In this paper, a computational study of three-dimensional magnetic reconnection between two flux ropes through a moving reconnection site is presented, where the configuration is considered in the context of two interacting spheromaks constrained by a perfectly conducting cylindrical boundary and oriented to form a single magnetic field null at its center.
27
A high-order non field-aligned approach for the discretization of strongly anisotropic diffusion operators in magnetic fusion
TL;DR: A hybrid discontinuous Galerkin scheme is presented for the solution of extremely anisotropic diffusion problems arising in magnetized plasmas for fusion applications and it is shown that non-aligned discretizations are able to provide spurious diffusion free solutions as long as high-order interpolations are used.
23
References
Scale-space and edge detection using anisotropic diffusion
Pietro Perona,Jitendra Malik +1 more
TL;DR: A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.
•Book
The Finite Element Method in Electromagnetics
Jian-Ming Jin
- 01 Mar 1993
TL;DR: The Finite Element Method in Electromagnetics, Third Edition as discussed by the authors is a leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetic engineering.
4K
The finite element method in electromagnetics
Magdalena Salazar-Palma,Luis-Emilio García-Castillo,Tapan K. Sarkar,Carretera de Valencia +3 more
- 01 Jan 2000
TL;DR: In this article, a self-adaptive mesh scheme is presented in the context of the quasi-static and full-wave analysis of general anisotropic multiconductor arbitrary shaped waveguiding structures.
2.6K