3k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR60 papers
- Kootenay Association for Science & TechnologyCA40 papers
- Chinese Academy of SciencesCN33 papers
- Texas A&M UniversityUS32 papers
- RWTH Aachen UniversityDE30 papers
- King Fahd University of Petroleum and MineralsSA29 papers
- TU WienAT25 papers
- National University of SingaporeSG24 papers
- The University of Texas at AustinUS24 papers
- University of OxfordGB23 papers
- Georgia Institute of TechnologyUS22 papers
- Aix-Marseille UniversitéFR20 papers
17 papers · 2 filters
Explicit Gaussian quadrature rules for cubic splines with non-uniform knot sequences
Rachid Ait-Haddou, Michael Bartoň, Victor Manuel Calo
We provide explicit expressions for quadrature rules on the space of cubic splines with non-uniform, symmetrically stretched knot sequences. The quadrature nodes and weights…
Asymptotic Expansions for High-Contrast Linear Elasticity
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We study linear elasticity problems with high contrast in the coefficients using asymptotic limits recently introduced. We derive an asymptotic expansion to solve heterogeneous ela…
Localized Harmonic Characteristic Basis Functions for Multiscale Finite Element Methods
Leonardo A. Poveda, Sebastian Huepo, Victor M. Calo +1
We solve elliptic systems of equations posed on highly heterogeneous materials. Examples of this class of problems are composite structures and geological processes. We focus on a…
Randomized Oversampling for Generalized Multiscale Finite Element Methods
Victor M. Calo, Y. Efendiev, Juan Galvis +1
In this paper, we study the development of efficient multiscale methods for flows in heterogeneous media. Our approach uses the Generalized Multiscale Finite Element (GMsFEM) frame…
Generalized Multiscale Finite Element Method for Elasticity Equations
Eric T. Chung, Yalchin Efendiev, Shubin Fu
In this paper, we discuss the application of Generalized Multiscale Finite Element Method (GMsFEM) to elasticity equation in heterogeneous media. Our applications are motivated by…
Global-Local Nonlinear Model Reduction for Flows in Heterogeneous Porous Media
Manal Alotaibi, Victor M. Calo, Yalchin Efendiev +2
In this paper, we combine discrete empirical interpolation techniques, global mode decomposition methods, and local multiscale methods, such as the Generalized Multiscale Finite El…
Multiscale Empirical Interpolation for Solving Nonlinear PDEs using Generalized Multiscale Finite Element Methods
Victor Calo, Yalchin Efendiev, Juan Galvis +1
In this paper, we propose a multiscale empirical interpolation method for solving nonlinear multiscale partial differential equations. The proposed method combines empirical interp…
Condition number estimates for matrices arising in NURBS based isogeometric discretizations of elliptic partial differential equations
Krishan P. S. Gahalaut, Satyendra K. Tomar, Craig. C. Douglas
We derive bounds for the minimum and maximum eigenvalues and the spectral condition number of matrices for isogeometric discretizations of elliptic partial differential equations i…
Numerical simulations of X-rays Free Electron Lasers (XFEL)
Paolo Antonelli, Agissilaos Athanassoulis, Zhongyi Huang +1
We study a nonlinear Schrödinger equation which arises as an effective single particle model in X-ray Free Electron Lasers (XFEL). This equation appears as a first-principles model…
Mixed Generalized Multiscale Finite Element Methods and Applications
Eric T. Chung, Yalchin Efendiev, Chak Shing Lee
In this paper, we present a mixed Generalized Multiscale Finite Element Method (GMsFEM) for solving flow in heterogeneous media. Our approach constructs multiscale basis functions…
Segmental Refinement: A Multigrid Technique for Data Locality
Mark F. Adams, Jed Brown, Matt Knepley +1
We investigate a domain decomposed multigrid technique, segmental refinement, for solving general nonlinear elliptic boundary value problems. Brandt and Diskin first proposed this…
Multi-Index Monte Carlo: When Sparsity Meets Sampling
Abdul-Lateef Haji-Ali, Fabio Nobile, Raul Tempone
We propose and analyze a novel Multi-Index Monte Carlo (MIMC) method for weak approximation of stochastic models that are described in terms of differential equations either driven…
Iterative observer for boundary estimation for elliptic equations
Muhammad Usman Majeed, Taous Meriem Laleg-Kirati
In this paper we propose the design of an iterative observer using space as a time-like variable and prove its convergence. The iterative observer algorithm solves boundary estimat…
Multilevel Hybrid Chernoff Tau-leap
Alvaro Moraes, Raul Tempone, Pedro Vilanova
In this work, we extend the hybrid Chernoff tau-leap method to the multilevel Monte Carlo (MLMC) setting. Inspired by the work of Anderson and Higham on the tau-leap MLMC method wi…
Optimization of mesh hierarchies in Multilevel Monte Carlo samplers
Abdul Lateef Haji Ali, Fabio Nobile, Erik von Schwerin +1
We perform a general optimization of the parameters in the Multilevel Monte Carlo (MLMC) discretization hierarchy based on uniform discretization methods with general approximation…
Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems
Yalchin Efendiev, Bangti Jin, Michael Presho +1
In this paper we propose a general framework for the uncertainty quantification of quantities of interest for high-contrast single-phase flow problems. It is based on the generaliz…
A Continuation Multilevel Monte Carlo algorithm
Nathan Collier, Abdul-Lateef Haji-Ali, Fabio Nobile +2
We propose a novel Continuation Multi Level Monte Carlo (CMLMC) algorithm for weak approximation of stochastic models. The CMLMC algorithm solves the given approximation problem fo…