The generation of a mesh for resistance calculation in integrated circuits

Kemp, Andreas; Pretorius, Jannie; Smit, Willie J.

doi:10.1109/43.7803

Cited by 10 publications

(3 citation statements)

References 8 publications

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“…For a constant element, there is only one unknown. We select the element center as the collocation point to get the BIE equation (4). For a linear element, there are two unknowns, like u 1 and u 0 in (7).…”

Section: Employ Linear Elements For Straight Conductorsmentioning

confidence: 99%

“…Here, let the entire boundary Γ = Γ const + Γ linear , where Γ const is the boundary composed of constant element and Γ linear is the boundary constituted by linear elements. If Γ linear is an empty set, u or q on an element will be constant, and for a collocation point s, (4) is…”

Section: Appendix B: Integral Equations Of Constant and Linear Boundamentioning

confidence: 99%

“…The analytical formula R = ρ L/S is exact only for very simple structures. The heuristic methods are not able to handle complex structures [4], and less accurate than numerical methods [5], [6]. Some 2-D numerical methods with higher accuracy have been published.…”

Section: Introductionmentioning

confidence: 99%

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Improved Boundary Element Method for Fast 3-D Interconnect Resistance Extraction

Wang

Liu²,

Yu³

et al. 2005

IEICE Transactions on Electronics

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Efficient extraction of interconnect parasitic parameters has become very important for present deep submicron designs. In this paper, the improved boundary element method (BEM) is presented for 3-D interconnect resistance extraction. The BEM is accelerated by the recently proposed quasi-multiple medium (QMM) technology, which quasicuts the calculated region to enlarge the sparsity of the overall coefficient matrix to solve. An un-average quasi-cutting scheme for QMM, advanced nonuniform element partition and technique of employing the linear element for some special surfaces are proposed. These improvements considerably condense the computational resource of the QMM-based BEM without loss of accuracy. Experiments on actual layout cases show that the presented method is several hundred to several thousand times faster than the well-known commercial software Raphael, while preserving the high accuracy. key words: interconnect resistance, fast extraction, improved boundary element method

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Section: Employ Linear Elements For Straight Conductorsmentioning

confidence: 99%

Section: Appendix B: Integral Equations Of Constant and Linear Boundamentioning

confidence: 99%

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Improved Boundary Element Method for Fast 3-D Interconnect Resistance Extraction

Wang

Liu²,

Yu³

et al. 2005

IEICE Transactions on Electronics

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Automatic conversion of triangular finite element meshes to quadrilateral elements

Johnston

Sullivan

Kwasnik

1991

Numerical Meth Engineering

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SUMMARYA method is presented for the fully automatic conversion of a general finite element mesh containing triangular elements into a mesh composed of exclusively quadrilateral elements. The initial mesh may be constructed of entirely triangular elements or may consist of a mixture of triangular and quadrilateral elements.. The technique used employs heuristic procedures and criteria to selectively combine adjacent triangular elements into quadrilaterals based on preestablished criteria for element quality. Additional procedures are included to eliminate isolated triangles. The method operates completely without user intervention once the nodal co-ordinates and element connectivity of the original mesh are supplied.

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A New Approach Treating Corners in Boundary Element Method

Wang

1991

Boundary Elements XIII

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The generation of a mesh for resistance calculation in integrated circuits

Cited by 10 publications

References 8 publications

Improved Boundary Element Method for Fast 3-D Interconnect Resistance Extraction

Improved Boundary Element Method for Fast 3-D Interconnect Resistance Extraction

Automatic conversion of triangular finite element meshes to quadrilateral elements

A New Approach Treating Corners in Boundary Element Method

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