OOIR: Observatory of International Research

Papers

(The TQCC of Multiscale Modeling & Simulation is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-05-01 to 2025-05-01.)

Article	Citations
High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites	24
Online Multiscale Model Reduction for Nonlinear Stochastic PDEs with Multiplicative Noise	16
Micro-Macro Stochastic Galerkin Methods for Nonlinear Fokker–Planck Equations with Random Inputs	14
Metropolis Crystal Surface Dynamics in the Rough Scaling Limit: From Local Equilibrium to Semi-Empirical PDE	12
Reconstruction of Multiscale Electromagnetic Sources from Multifrequency Electric Far Field Patterns at Sparse Observation Directions	11
A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models	10
Quantum Mechanics for Closure of Dynamical Systems	9
Homogenization and Dimension Reduction of the Stokes Problem with Navier-Slip Condition in Thin Perforated Layers	9
Homogenization of the Stokes System in a Non-Periodically Perforated Domain	9
Sharp-Interface Limits of Cahn–Hilliard Models and Mechanics with Moving Contact Lines	8
Topological Sensitivity-Based Analysis and Optimization of Microstructured Interfaces	8
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients	8
Uniform Observable Error Bounds of Trotter Formulae for the Semiclassical Schrödinger Equation	8
Elastic Far-Field Decay from Dislocations in Multilattices	7
Potential Singularity of the Axisymmetric Euler Equations with \(\boldsymbol{C^{\alpha }}\) Initial Vorticity for a Large Range of \(\boldsymbol{\alpha }\)	7
Continuum Model and Numerical Method for Dislocation Structure and Energy of Grain Boundaries	7
Boundary Homogenization for Partially Reactive Patches	7
A Diffuse-Domain Phase-Field Lattice Boltzmann Method for Two-Phase Flows in Complex Geometries	6
Multiscale Approach for Variational Problem Joint Diffeomorphic Image Registration and Intensity Correction: Theory and Application	6
Global Well-Posedness and Numerical Justification of an Effective Micro-Macro Model for Reactive Transport in Elastic Perforated Media	6
Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity	6
An Effective Fractional Paraxial Wave Equation for Wave-Fronts in Randomly Layered Media with Long-Range Correlations	6
On Asymptotic Preserving Schemes for a Class of Stochastic Differential Equations in Averaging and Diffusion Approximation Regimes	6
QM/MM Methods for Crystalline Defects. Part 3: Machine-Learned MM Models	6
Vortex-Capturing Multiscale Spaces for the Ginzburg–Landau Equation	6

Time Multiscale Modeling of Sorption Kinetics I: Uniformly Accurate Schemes for Highly Oscillatory Advection-Diffusion Equation	6
Multiscale Analysis for Dynamic Contact Angle Hysteresis on Rough Surfaces	5
Asymptotic Expansions of Evolution Equations with Fast Volatility	5
Approximative Policy Iteration for Exit Time Feedback Control Problems Driven by Stochastic Differential Equations using Tensor Train Format	5
Effective Heat Transfer Between a Porous Medium and a Fluid Layer: Homogenization and Simulation	5
Aggregation Methods for Computing Steady States in Statistical Physics	5
Stability for the Inverse Random Source Scattering Problems in Elastic Waves	4
FMM-LU: A Fast Direct Solver for Multiscale Boundary Integral Equations in Three Dimensions	4
On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis	4
Semiclassical Propagation Along Curved Domain Walls	4
Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients	4
Surface Waves in Randomly Perturbed Discrete Models	4
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions	4
Homogenization of a Porous Intercalation Electrode with Phase Separation	4
A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources	4
The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators	4
NonReciprocal Wave Propagation in Space-Time Modulated Media	4
Inverse Random Potential Scattering for Elastic Waves	4
An Elliptic Local Problem with Exponential Decay of the Resonance Error for Numerical Homogenization	4
HiPhom\({\varepsilon }\): High-Order Projection-Based Homogenization for Advection-Diffusion-Reaction Problems	4
A Micro-Macro Decomposed Reduced Basis Method for the Time-Dependent Radiative Transfer Equation	4
Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme	4
High-order Numerical Homogenization for Dissipative Ordinary Differential Equations	3
Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics	3
Exponential Convergence of a Generalized FEM for Heterogeneous Reaction-Diffusion Equations	3
Crystallinity of the Homogenized Energy Density of Periodic Lattice Systems	3
A Multiscale Model for Weakly Nonlinear Shallow Water Waves over Periodic Bathymetry	3
Three-Dimensional Random Wave Coupling Along a Boundary and an Associated Inverse Problem	3
Quasi-Convergence of an Implementation of Optimal Balance by Backward-Forward Nudging	3
Radiative Decay of Edge States in Floquet Media	3
Mobility Estimation for Langevin Dynamics Using Control Variates	3
A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles	3
Incompleteness of Sinclair-Type Continuum Flexible Boundary Conditions for Atomistic Fracture Simulations	3
Convergence of a Direct Simulation Monte Carlo Method for the Space Inhomogeneous Semiconductor Boltzmann Equations with Multi-valley	3
Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation	3
Mathematical Theory for Electromagnetic Scattering Resonances and Field Enhancement in a Subwavelength Annular Gap	3