Fuzzy Logic Adaptive Mesh Refinement for 3D Nonlinear Magnetostatic Problems Using Integral Equation Method

Hafla, W.; Buchau, A.; Bardakcioglu, Antoni; Scheiblich, C.; Rucker, W.M.

doi:10.1109/cefc-06.2006.1632911

Cited by 2 publications

(3 citation statements)

References 4 publications

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“…For conventional solvers, the solution time speed up for adaptive mesh refinement over uniform non-adaptive meshes can be given by: (6) where P 1 is the number of passes required for non-adaptive solution to converge, P 2 is the number of passes till convergence for an adaptively refined solution, N i or N j being the number of unknowns at i-th or j-th pass respectively, and the subscripts 'na' and 'a' denote non-adaptive and adaptive respectively. Similarly, the memory savings can be given by the following relation:…”

Section: Multiple Ports and Multiple Frequency Sweepmentioning

confidence: 99%

“…For MoM based methods involving static cases, local error estimates between potentials at adjacent nodes on the geometry has been taken as refinement criterion in [4]. Adaptive mesh generation scheme for 2D magnetostatic integral equations has been covered in [5], a fuzzy logic based scheme for non-linear 3D magnetostatic cases in [6], and a framework to permit easy hprefinement using Generalized Method of Moment (GMM) is presented in [7].…”

Section: Introductionmentioning

confidence: 99%

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Efficient adaptive mesh refinement for MoM-based package-board 3D full-wave extraction

Das

Nair

Gope

2013

2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems

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The accurate solution of 3D full-wave Method of Moments (MoM) on an arbitrary mesh of a package-board structure does not guarantee accuracy, since the discretizations may not be fine enough to capture rapid spatial changes in the solution variable. At the same time, uniform over-meshing on the entire structure generates large number of solution variables and therefore requires an unnecessarily large matrix solution. In this work, a suitable refinement criterion for MoM based electromagnetic package-board extraction is proposed and the advantages of the adaptive strategy are demonstrated from both accuracy and speed perspectives.

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Section: Multiple Ports and Multiple Frequency Sweepmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Efficient adaptive mesh refinement for MoM-based package-board 3D full-wave extraction

Das

Nair

Gope

2013

2013 IEEE 22nd Conference on Electrical Performance of Electronic Packaging and Systems

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show abstract

“…For MoM-based methods involving static cases, local error estimates between potentials at adjacent nodes on the geometry have been taken as refinement criterion in [13]. Adaptive mesh generation scheme for 2-D magnetostatic integral equations has been covered in [14], a fuzzy logic-based scheme for nonlinear 3-D magnetostatic cases in [15], and a framework to permit easy hp-refinement using generalized method of moment is presented in [16]. Recently, for 3-D full-wave problems, an automatic h-refinement scheme for discontinuous Galerkin integral equations has been reported in [17].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Mesh Refinement for Fast Convergence of EFIE-Based 3-D Extraction

Das

Gope

2015

IEEE Trans. Compon., Packag. Manufact. Technol.

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3-D full-wave method of moments (MoM) based electromagnetic analysis is a popular means toward accurate solution of Maxwell's equations. The time and memory bottlenecks associated with such a solution have been addressed over the last two decades by linear complexity fast solver algorithms. However, the accurate solution of 3-D full-wave MoM on an arbitrary mesh of a package-board structure does not guarantee accuracy, since the discretization may not be fine enough to capture spatial changes in the solution variable. At the same time, uniform over-meshing on the entire structure generates a large number of solution variables and therefore requires an unnecessarily large matrix solution. In this paper, different refinement criteria are studied in an adaptive mesh refinement platform. Consequently, the most suitable conductor mesh refinement criterion for MoM-based electromagnetic package-board extraction is identified and the advantages of this adaptive strategy are demonstrated from both accuracy and speed perspectives. The results are also compared with those of the recently reported integral equation-based h-refinement strategy. Finally, a new methodology to expedite each adaptive refinement pass is proposed. Index Terms-Adpative mesh refinement, electric field integral equation (EFIE), method of moments (MoM).

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Fuzzy Logic Adaptive Mesh Refinement for 3D Nonlinear Magnetostatic Problems Using Integral Equation Method

Cited by 2 publications

References 4 publications

Efficient adaptive mesh refinement for MoM-based package-board 3D full-wave extraction

Efficient adaptive mesh refinement for MoM-based package-board 3D full-wave extraction

Adaptive Mesh Refinement for Fast Convergence of EFIE-Based 3-D Extraction

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