Adaptive mesh refinement in the finite element computation of magnetic fields

Cendes, Z.J.; Shenton, D.

doi:10.1109/tmag.1985.1063929

Cited by 110 publications

(28 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The most used strategy is the simple refinement, where all the chosen elements for refinement are refined in the same way. Other strategies are the multiple refinement, where several levels of refinement are defined [10]- [12] and the so-called forward-backward refinement [13], [14], where the initial mesh has a medium density and, at each step of adaptation, new unknowns can be added in the regions with large error and some unknowns can be eliminated where the error is small.…”

Section: B Refinement Techniquesmentioning

confidence: 99%

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

Díaz‐Morcillo

Balbastre

Nuño

2003

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

Abstract-The adaptive finite-element method (FEM) is an iterative variant of the FEM where, in a first step, an initial mesh with few and low-order elements is generated, the corresponding algebraic problem is solved and the error in the solution is estimated in order to add degrees of freedom in those regions of the domain with the biggest error estimation. This process is repeated until an ending condition is reached. The two basic stages in this method are the error indication and the mesh enrichment. In this paper, within the analysis of waveguiding structures, a new error indicator based on the curl recovery is described. In addition, an overview on refinement techniques is presented, and the -refinement employed in this study is briefly described. Results obtained with the curl-recovery indicator are discussed and compared with the classical nonadaptive FEM and two previously developed error indicators: the residual and flux continuity indicators.

show abstract

Section: B Refinement Techniquesmentioning

confidence: 99%

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

Díaz‐Morcillo

Balbastre

Nuño

2003

IEEE Trans. Microwave Theory Techn.

View full text Add to dashboard Cite

show abstract

“…4 and 5. While a large body of research on the subject of automatic mesh generation exists [28], we have avoided it in our work since we have found that in the case of a linear substrate model with contacts/diffusions at the surface or a backside contact, it is relatively easy to determine the density of grids required a priori using the technique mentioned above. …”

Section: (1) Reduces Tomentioning

confidence: 99%

Addressing substrate coupling in mixed-mode ICs: simulation and power distribution synthesis

Stanisic

Verghese

Rutenbar

et al. 1994

IEEE J. Solid-State Circuits

215

View full text Add to dashboard Cite

Abstract-This paper describes new techniques for the simulation and power distribution synthesis of mixed analogldigital integrated circuits considering the parasitic coupling of noise through the common substrate. By spatially discretizing a simplified form of Maxwell's equations, a three-dimensional linear mesh model of the substrate is developed. For simulation, a macromodel of the fine substrate mesh is formulated and a modified version of SPICE3 is used to simulate the electrical circuit coupled with the macromodel. For synthesis, a coarse substrate mesh, and interconnect models are used to couple linear macromodels of circuit functional blocks. Asymptotic Waveform Evaluation (AWE) is used to evaluate the electrical behavior of the network at every iteration in the synthesis process. Macromodel simulations are significantly faster than device level simulations and compare accurately to measured results. Synthesis results demonstrate the critical need to constrain substrate noise and simultaneously optimize power bus geometry and pad assignment to meet performance targets.

show abstract

“…However, the accuracy relies on the density of the elements that are used, especially regarding sharp surface discontinuities. And using a large number of elements, it will take a longer computation time [4][5]. Considering in some applications, people are more concerned the accuracy of the calculation in order to obtain a high homogeneous magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Development of a magnetic field calculation program for air-core solenoids which can control the precision of a magnetic field

Huang¹,

Lee

2014

Progress in Superconductivity and Cryogenics

View full text Add to dashboard Cite

A numerical method of magnetic field calculation for the air-core solenoid is presented in this paper. In application of the BiotSavart law, the magnetic field induced from the source current can be obtained by a double integration ormula. The numerical method named composite Simpson's rule for the integration is applied to the program and the adaptive quadrature method is used to adjust the step size in the calculation according to the precision we need. When the target point is in the solenoid and the in

show abstract

Adaptive mesh refinement in the finite element computation of magnetic fields

Cited by 110 publications

References 27 publications

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

New recovery error indicator for adaptive finite-element analysis on waveguiding structures

Addressing substrate coupling in mixed-mode ICs: simulation and power distribution synthesis

Development of a magnetic field calculation program for air-core solenoids which can control the precision of a magnetic field

Contact Info

Product

Resources

About