We develop a fast method to localize the level set method of Osher and Sethian (1988, J. Comput. Phys.79, 12) and address two important issues that are intrinsic to the level set method: (a) how to extend a quantity that is given only on the interface to a neighborhood of the ...
Peng, D., Merriman, B., Osher, S., Zhao, H., Kang, M.: A PDE-based fast local level set method. J. Comput. Phys. 155, 410–438 (1999) MathSciNet Google Scholar Petersen, M., Ratsch, C., Caflisch, R.E., Zangwill, A.: A level set approach to reversible epitaxial growth...
A PDE-based fast local level set method J Comput Phys (1999)View more references Cited by (193) Stress-based topology optimization using bi-directional evolutionary structural optimization method 2018, Computer Methods in Applied Mechanics and Engineering Show abstract Stress-based shape and topology ...
We then grouped sister cells into two classes: a c-di-GMP-high and a c-di-GMP-low class based on the average c-di-GMP level over the full lifetime of the cells. Statistics and reproducibility No statistical method was used to predetermine sample size. No data were excluded from the ...
We now set out to learn a PDE description based on partial derivatives in \(\tilde{x}\), $$\frac{\partial }{\partial t}W(\tilde{x},t)=f\left(W,\frac{\partial W}{\partial \tilde{x}},\frac{{\partial }^{2}W}{\partial {\tilde{x}}^{2}},\frac{{\partial }^{3}W}{\...
1.1Finite element method (FEM) The numerical approximation of the continuous fielduof any PDE can be given by Eq.1on a certain domain and can be solved by different techniques including the Finite element method (FEM) (Zienkiewicz and Taylor2000). FEM is discussed here with emphasis on the ...
A Finite-Volume discretization is used in which the PDE in a given dimension is integrated over a cell domain, , where , is the cell center, and is the width of the cell. The integration is the same in the z-direction. Using the Gauss divergence theorem, this turns the equation into ...
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Using the smaller number of electrodes which have more relationship with the auditory attention cortex could enhance the ability of the proposed method to utilize in BCI devices. Conclusion In the present work, a novel approach for auditory attention detection is presented based on the microstates ...
PDE problem or, in general, for the applications), whereas real-world applications expect complicated and not-so-common approaches, so the objective functions are neither simple nor approachable. Some examples of such limitations include: maximum acceptable local stress, normal force, operational life...