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In this work, we show how the shape synthesis of electromagnetic structures can be converted to an equivalent inverse problem, and subsequently solved by a linear-complexity direct finite-element solver without the need for an optimizer.
In this paper, we develop a linear-complexity direct finite-element solver for the electromagnetic analysis of general 3-D problems containing arbitrarily shaped lossy or lossless conductors in inhomogeneous materials. Both theoretical analysis and numerical experiments have demonstrated the solver’s linear complexity in CPU time and memory consumption with prescribed accuracy satisfied. The proposed...
A linear (optimal) complexity direct solver not only can significantly accelerate the forward analysis of electromagnetic problems, but also open up a new solution space for fast inverse design (synthesis). In this work, we show how the layout synthesis of electromagnetic structures can be transformed to an equivalent inverse problem, and subsequently solved by a linear-complexity direct finite-element...
In this paper, we develop a linear-complexity direct finite element solver to handle problems discretized into irregular meshes, and further to problems without mesh information. The new capabilities are validated by the simulation of an industry large-scale package structure with a highly irregular mesh and examples that have only matrices without mesh information. We also report simulation results...
In this paper, we develop a fast direct finite element solver of linear (optimal) complexity for the electromagnetic analysis of electrically large problems. Both theoretical analysis and numerical experiments have demonstrated the solver's linear complexity in CPU time and memory consumption with prescribed accuracy satisfied.
In this paper, we develop a fast direct finite-element solver of linear (optimal) complexity for solving large-scale system-level signal and power integrity problems. The proposed direct solver has successfully analyzed an industry product-level full-package problem and correlated with measurements in time domain. The finite-element matrix of over 15.8 million unknowns resulting from the analysis...
Fast algorithm is developed to accelerate a linear-complexity direct finite-element solver for many right hand sides problems. Applications to large-scale inductor arrays and industrial package structures have demonstrated the capability and the performance of the accelerated direct solver.
A direct finite-element solver of linear complexity is developed to analyze general 3-D electromagnetic problems where conductors and dielectrics can be arbitrarily shaped, inhomogeneous, and lossy. Numerical experiments have demonstrated its superior performance over state-of-the-art direct finite-element solvers as well as an iterative finite-element solver. A linear complexity in both CPU time...
We develop a direct finite-element solver of linear (optimal) complexity to extract broadband circuit parameters such as S-parameters of arbitrarily shaped 3-D interconnects in inhomogeneous dielectrics. Numerical experiments demonstrate a clear advantage of the proposed solver as compared with existing finite-element solvers that employ state-of-the-art direct sparse matrix solutions. A linear complexity...
A fast direct solver is developed for the vector finite element based analysis of general 3-D electromagnetic problems. In this solver, we fully take advantage of the sparsity in the original matrix of size N and the reduced fill-ins due to nested dissection ordering. We also organize the overall factorization into a sequence of partial factorizations of dense smaller matrices by the multifrontal...
A novel method to design patch antenna with computer-aid is presented in this paper. Smooth curve is used to generate the border of the patch antenna; and particle swarm optimization (PSO) algorithm is implemented to control the shape of the patch, which leads the result less dependent on designer's experience and more reasonable. Finite Difference Time Domain (FDTD) algorithm is used for electromagnetic...
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