21 citations · 35 across the 16 of their papers we have counts for
17 papers
Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases
Amy de Castro, Pavel Bochev, Paul Kuberry +1
This paper formulates, analyzes, and demonstrates numerically a method for the partitioned solution of coupled interface problems involving combinations of projection-based reduced…
A Novel Partitioned Approach for Reduced Order Model -- Finite Element Model (ROM-FEM) and ROM-ROM Coupling
Amy de Castro, Paul Kuberry, Irina Tezaur +1
Partitioned methods allow one to build a simulation capability for coupled problems by reusing existing single-component codes. In so doing, partitioned methods can shorten code de…
An asymptotically compatible coupling formulation for nonlocal interface problems with jumps
Christian Glusa, Marta D'Elia, Giacomo Capodaglio +2
We introduce a mathematically rigorous formulation for a nonlocal interface problem with jumps and propose an asymptotically compatible finite element discretization for the weak f…
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions
Marta D'Elia, David Littlewood, Jeremy Trageser +2
We develop and analyze an optimization-based method for the coupling of a static peri-dynamic (PD) model and a static classical elasticity model. The approach formulates the coupli…
Learning Compact Physics-Aware Delayed Photocurrent Models Using Dynamic Mode Decomposition
Joshua Hanson, Pavel Bochev, Biliana Paskaleva
Radiation-induced photocurrent in semiconductor devices can be simulated using complex physics-based models, which are accurate, but computationally expensive. This presents a chal…
A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions
Giacomo Capodaglio, Marta D'Elia, Max Gunzburger +3
A rigorous mathematical framework is provided for a substructuring-based domain-decomposition approach for nonlocal problems that feature interactions between points separated by a…
Development, Demonstration, and Validation of Data-driven Compact Diode Models for Circuit Simulation and Analysis
K. Aadithya, P. Kuberry, B. Paskaleva +5
Compact semiconductor device models are essential for efficiently designing and analyzing large circuits. However, traditional compact model development requires a large amount of…
An energy-based coupling approach to nonlocal interface problems
Giacomo Capodaglio, Marta D'Elia, Pavel Bochev +1
Nonlocal models provide accurate representations of physical phenomena ranging from fracture mechanics to complex subsurface flows, where traditional partial differential equations…
Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
Marta D'Elia, Pavel Bochev
We present an optimization-based coupling method for local and nonlocal continuum models. Our approach couches the coupling of the models into a control problem where the states ar…
A conservative, consistent, and scalable meshfree mimetic method
Nathaniel Trask, Pavel Bochev, Mauro Perego
Mimetic methods discretize divergence by restricting the Gauss theorem to mesh cells. Because point clouds lack such geometric entities, construction of a compatible meshfree diver…
A Coupling Approach for Linear Elasticity Problems with Spatially Noncoincident Interfaces
Pavel Bochev, James Cheung, Max Gunzburger +1
We present a new formulation based on the classical Dirichlet-Neumann formulation for interface coupling problems in linearized elasticity. By using Taylor series expansions, we de…
Optimally accurate higher-order finite element methods on polytopial approximations of domains with smooth boundaries
James Cheung, Mauro Perego, Pavel Bochev +1
Meshing of geometric domains having curved boundaries by affine simplices produces a polytopial approximation of those domains. The resulting error in the representation of the dom…
An Optimally Convergent Coupling Approach for Interface Problems Approximated with Higher-Order Finite Elements
Pavel Bochev, James Cheung, Max Gunzburger +1
In this paper, we present a new numerical method for determining the numerical solution of interface problems to optimal accuracy with respect to the polynomial order of the Lagran…
A high-order staggered meshless method for elliptic problems
Nathaniel Trask, Mauro Perego, Pavel Bochev
We present a new meshless method for scalar diffusion equations which is motivated by their compatible discretizations on primal-dual grids. Unlike the latter though, our approach…
Analysis of an optimization-based atomistic-to-continuum coupling method for point defects
Derek Olson, Alexander V. Shapeev, Pavel Bochev +1
We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for problems with point defects. Near the defect core the method employs a potential-bas…
Development of an Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
Atomistic-to-Continuum (AtC) coupling methods are a novel means of computing the properties of a discrete crystal structure, such as those containing defects, that combine the accu…
An Optimization-Based Atomistic-to-Continuum Coupling Method
Derek Olson, Pavel Bochev, Mitchell Luskin +1
We present a new optimization-based method for atomistic-to-continuum (AtC) coupling. The main idea is to cast the coupling of the atomistic and continuum models as a constrained o…