Direct Finite Element Solver of Linear Complexity
- Summary
- Researchers at Purdue University have developed a fast, direct finite element method (FEM) solver of linear complexity for full wave analysis of general 3D circuits, including those containing arbitrarily shaped semiconductors in inhomogeneous materials. This software is able to take full advantage of the increasing CPU and memory of modern computers to directly obtain the inverse of a system matrix, a computation previously thought to be too complex to attempt. Purdue researchers broke the computational barrier of direct matrix solutions by achieving an optimal complexity, and therefore, provide a modeling technology for circuit analysis with revolutionary performance.
- Technology Benefits
- Highly efficient Solves directly
- Technology Application
- 3D circuit analysis Complex matrix integration Direct FEM solver
- Detailed Technology Description
- Dan JiaoOn-Chip Electromagnetics Purdue Electrical and Computer Engineering
- Countries
- United States
- Application No.
- None
- *Abstract
-
- *Background
- As computer processing power increases, higher bandwidths must be analyzed and implemented to take full advantage of this increased computing power. This analysis is normally done through the use of matrix integrations. Unfortunately, as computers have advanced, the complexity of materials used in these circuits, semiconductors in particular, have greatly increased. As a result, the scale of these problems has grown exponentially, and current direct matrix solvers have too high of a computational cost to be effectively used. Instead, most modeling of full-wave analysis for large-scale problems is done using iterative solvers, which also become very inefficient when working with large matrices.
- *IP Issue Date
- None
- *IP Type
- Other Patent
- *Stage of Development
- Proof of concept
- *Web Links
- Purdue Office of Technology CommercializationPurdueInnovation and EntrepreneurshipDan JiaoOn-Chip Electromagnetics Purdue Electrical and Computer Engineering
- Country/Region
- USA
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