58 citations · 202 across the 8 of their papers we have counts for
10 papers
mfEGRA: Multifidelity Efficient Global Reliability Analysis through Active Learning for Failure Boundary Location
Anirban Chaudhuri, Alexandre N. Marques, Karen E. Willcox
This paper develops mfEGRA, a multifidelity active learning method using data-driven adaptively refined surrogates for failure boundary location in reliability analysis. This work…
Multifidelity probability estimation via fusion of estimators
Boris Kramer, Alexandre Noll Marques, Benjamin Peherstorfer +2
This paper develops a multifidelity method that enables estimation of failure probabilities for expensive-to-evaluate models via information fusion and importance sampling. The pre…
Treatment of complex interfaces for Maxwell's equations with continuous coefficients using the correction function method
Yann-Meing Law, Alexandre Noll Marques, Jean-Christophe Nave
We propose a high-order FDTD scheme based on the correction function method (CFM) to treat interfaces with complex geometry without increasing the complexity of the numerical appro…
Contour location via entropy reduction leveraging multiple information sources
Alexandre N. Marques, Remi R. Lam, Karen E. Willcox
We introduce an algorithm to locate contours of functions that are expensive to evaluate. The problem of locating contours arises in many applications, including classification, co…
An UQ-ready finite element solver for a two-dimensional RANS model of free plane jets
Umberto Villa, Alexandre Noll Marques
Numerical solution of the system of partial differential equations arising from the Reynolds-Averaged Navier-Stokes (RANS) equations with turbulence model presents several ch…
Imposing jump conditions on nonconforming interfaces for the Correction Function Method: a least squares approach
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
We introduce a technique that simplifies the problem of imposing jump conditions on interfaces that are not aligned with a computational grid in the context of the Correction Funct…
Toward real-time high-fidelity simulation using integral boundary layer modeling
Alexandre Marques, Qiqi Wang, Johan Larsson +2
One of the greatest challenges to using large-eddy simulations (LES) in engineering applications is the large number of grid points required near walls. To mitigate this issue, res…
A Correction Function Method for the Wave Equation with Interface Jump Conditions
David S. Abraham, Alexandre Noll Marques, Jean-Christophe Nave
In this paper a novel method to solve the constant coefficient wave equation, subject to interface jump conditions, is presented. In general, such problems pose issues for standard…
High order solution of Poisson problems with piecewise constant coefficients and interface jumps
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
We present a fast and accurate algorithm to solve Poisson problems in complex geometries, using regular Cartesian grids. We consider a variety of configurations, including Poisson…
A Correction Function Method for Poisson Problems with Interface Jump Conditions
Alexandre Noll Marques, Jean-Christophe Nave, Rodolfo Ruben Rosales
In this paper we present a method to treat interface jump conditions for constant coefficients Poisson problems that allows the use of standard "black box" solvers, without comprom…