67 citations · 582 across the 29 of their papers we have counts for
30 papers
Conservation properties of a leapfrog finite-difference time-domain method for the Schrödinger equation
Fadime Bekmambetova, Piero Triverio
We study the probability and energy conservation properties of a leap-frog finite-difference time-domain (FDTD) method for solving the Schrödinger equation. We propose expressions…
A Vector Fitting approach for the automated estimation of lumped boundary conditions of 1D circulation models
Elisa Fevola, Tommaso Bradde, Piero Triverio +1
The choice of appropriate boundary conditions is a crucial step in the development of cardiovascular models for blood flow simulations. The three-element Windkessel model is usuall…
A Generalized Scalar Potential Integral Equation Formulation for the DC Analysis of Conductors
Shashwat Sharma, Piero Triverio
The electrostatic modeling of conductors is a fundamental challenge in various applications, including the prediction of parasitic effects in electrical interconnects, the design o…
Electromagnetic Modeling of Lossy Interconnects From DC to High Frequencies With a Potential-Based Boundary Element Formulation
Shashwat Sharma, Piero Triverio
The accurate electromagnetic modeling of both low- and high-frequency physics is crucial in the signal and power integrity analysis of electrical interconnects. The boundary elemen…
A Dissipation Theory for Potentials-Based FDTD for Lossless Inhomogeneous Media
Fadime Bekmambetova, Piero Triverio
A dissipation theory is proposed for the potentials-based FDTD algorithm for the case of inhomogeneous lossless media. We show that under the Courant-Friedrichs-Lewy (CFL) limit, t…
Electromagnetic Modeling of Lossy Materials with a Potential-Based Boundary Element Method
Shashwat Sharma, Piero Triverio
The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from…
A Parallel Boundary Element Method for the Electromagnetic Analysis of Large Structures With Lossy Conductors
Damian Marek, Shashwat Sharma, Piero Triverio
In this paper, we propose an efficient parallelization strategy for boundary element method (BEM) solvers that perform the electromagnetic analysis of structures with lossy conduct…
An Efficient Integral Equation Method for Full-wave Analysis of Inhomogeneous Electromagnetic Surfaces with Connected Conductors
Reza Gholami, Parinaz Naseri, Piero Triverio +1
In this paper, a generalized macromodeling approach is presented to simulate complex electromagnetic (EM) surfaces consisting of unit cells with connected conductors. Macromodels o…
A Single-Layer Dual-Mesh Boundary Element Method for Multiscale Electromagnetic Modeling of Penetrable Objects in Layered Media
Shashwat Sharma, Piero Triverio
A surface integral representation of Maxwell's equations allows the efficient electromagnetic (EM) modeling of three-dimensional structures with a two-dimensional discretization, v…
An optimal control approach to determine resistance-type boundary conditions from in-vivo data for cardiovascular simulations
Elisa Fevola, Francesco Ballarin, Laura Jiménez-Juan +4
The choice of appropriate boundary conditions is a fundamental step in computational fluid dynamics (CFD) simulations of the cardiovascular system. Boundary conditions, in fact, hi…
AIMx: An Extended Adaptive Integral Method for the Fast Electromagnetic Modeling of Complex Structures
Shashwat Sharma, Piero Triverio
Surface integral equation (SIE) methods are of great interest for the efficient electromagnetic modeling of various devices, from integrated circuits to antenna arrays. Existing ac…
SLIM: A Well-Conditioned Single-Source Boundary Element Method for Modeling Lossy Conductors in Layered Media
Shashwat Sharma, Piero Triverio
The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor mod…
An Accelerated Surface Integral Equation Method for the Electromagnetic Modeling of Dielectric and Lossy Objects of Arbitrary Conductivity
Shashwat Sharma, Piero Triverio
Surface integral equation (SIE) methods are of great interest for the numerical solution of Maxwell's equations in the presence of homogeneous objects. However, existing SIE algori…
A Fast Macromodeling Approach to Efficiently Simulate Inhomogeneous Electromagnetic Surfaces
Utkarsh R. Patel, Piero Triverio, Sean V. Hum
The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to…
Reduced order methods for parametric optimal flow control in coronary bypass grafts, towards patient-specific data assimilation
Zakia Zainib, Francesco Ballarin, Stephen Fremes +3
Coronary artery bypass grafts (CABG) surgery is an invasive procedure performed to circumvent partial or complete blood flow blockage in coronary artery disease (CAD). In this work…
Vector Fitting
Piero Triverio
We introduce the Vector Fitting algorithm for the creation of reduced-order models from the sampled response of a linear time-invariant system. This data-driven approach to reducti…
A Complete Surface Integral Method for Broadband Modeling of 3D Interconnects in Stratified Media
Shashwat Sharma, Utkarsh R. Patel, Sean V. Hum +1
A surface integral equation solver is proposed for fast and accurate simulation of interconnects embedded in stratified media. A novel technique for efficient computation of the mu…
A Macromodeling Approach to Efficiently Compute Scattering from Large Arrays of Complex Scatterers
Utkarsh R. Patel, Piero Triverio, Sean V. Hum
Full-wave electromagnetic simulations of electrically large arrays of complex antennas and scatterers are challenging, as they consume large amount of memory and require long CPU t…
A Dissipation Theory for Three-Dimensional FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
The finite-difference time-domain (FDTD) algorithm is a popular numerical method for solving electromagnetic problems. FDTD simulations can suffer from instability due to the expli…
A Novel Single-Source Surface Integral Method to Compute Scattering from Dielectric Objects
Utkarsh R. Patel, Piero Triverio, Sean V. Hum
Using the traditional surface integral methods, the computation of scattering from a dielectric object requires two equivalent current densities on the boundary of the dielectric.…
A Stable FDTD Method with Embedded Reduced-Order Models
Xinyue Zhang, Fadime Bekmambetova, Piero Triverio
The computational efficiency of the Finite-Difference Time-Domain (FDTD) method can be significantly reduced by the presence of complex objects with fine features. Small geometrica…
A Dissipative Systems Theory for FDTD with Application to Stability Analysis and Subgridding
Fadime Bekmambetova, Xinyue Zhang, Piero Triverio
This paper establishes a far-reaching connection between the Finite-Difference Time-Domain method (FDTD) and the theory of dissipative systems. The FDTD equations for a rectangular…
Skin Effect Modeling in Conductors of Arbitrary Shape Through a Surface Admittance Operator and the Contour Integral Method
Utkarsh R. Patel, Piero Triverio
An accurate modeling of skin effect inside conductors is of capital importance to solve transmission line and scattering problems. This paper presents a surface-based formulation t…
TurboMOR: an Efficient Model Order Reduction Technique for RC Networks with Many Ports
Denis Oyaro, Piero Triverio
Model order reduction (MOR) techniques play a crucial role in the computer-aided design of modern integrated circuits, where they are used to reduce the size of parasitic networks.…