6 papers
Two Dimensional Fourier Continuation for Domains with Corners
Oscar P. Bruno, Allen Yang
This paper presents a fast "two-dimensional Fourier Continuation" (2D-FC) method for the construction of biperiodic extensions of smooth, non-periodic functions defined over genera…
Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems
Shuai Pan, Gang Bao, Tao Yin +1
This paper proposes a new multiple-scattering frequency-time hybrid (FTH-MS) integral equation solver for problems of wave scattering by obstacles in two dimensional space, includi…
General-domain FC-based shock-dynamics solver II: Non-smooth domains, accuracy and parallel performance
Daniel V. Leibovici, Oscar P. Bruno
This contribution Part II of a two-part series, extends the general-domain FC-SDNN (Fourier Continuation Shock-Detecting Neural Network) introduces in Part I to enable treatment of…
General-domain FC-based shock-dynamics solver I: Basic elements
Oscar P. Bruno, Daniel V. Leibovici
This contribution, Part I in a two-part article series, presents a general-domain version of the FC-SDNN (Fourier Continuation Shock-detecting Neural Network) spectral scheme for t…
High order-accurate solution of scattering integral equations with unbounded solutions at corners
Constantine Sideris, Davit Aslanyan, Oscar P. Bruno
Although high-order Maxwell integral equation solvers provide significant advantages in terms of speed and accuracy over corresponding low-order integral methods, their performance…
Can Efficient Fourier-Transform Techniques Favorably Impact on Broadband Computational Electromagnetism?
Thomas G. Anderson, Mark Lyon, Tao Yin +1
In view of recently demonstrated joint use of novel Fourier-transform techniques and effective high-accuracy frequency domain solvers related to the Method of Moments, it is argued…