OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Computational Physics 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
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	24
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	19
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	17
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	13
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	13
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	12
Convergence Analysis of PINNs with Over-Parameterization	12
High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes	12
A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations	12
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	11
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	11
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	10
Dynamical Demixing of a Binary Mixture Under Sedimentation	10
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	10
Numerical Integrators for Dispersion-Managed KdV Equation	10
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	10
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	10
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	9
Adaptive Ensemble Kalman Inversion with Statistical Linearization	9
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	9
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	9
A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	9
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	9
Stabilized Continuous Linear Element Method for the Biharmonic Problems	8
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	8

The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	8
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	8
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	8
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	7
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	6
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	6
Unified Gas-Kinetic Wave-Particle Methods VI: Disperse Dilute Gas-Particle Multiphase Flow	6
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	6
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	6
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	6
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	6
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	6
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	6
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	5
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	5
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	5
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	5
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	5
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	5
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	5
An Efficient Iterative Method for the Formulation of Flow Networks	5
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	5
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	4
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	4
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	4
High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case	4
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	4
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	4
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	4
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	4
Immersed Boundary Approach to Biofilm Spread on Surfaces	4
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	4
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	4
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	4
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	4
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	4
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	4
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	4
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	3
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	3
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	3
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	3
A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”	3
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	3
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	3
Inverse Design of Strained Graphene Surfaces for Electron Control	3
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	3
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	3
Direct Simulation of Charge Transport in Graphene Nanoribbons	3

A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	3
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	3
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	3
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	3
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	3
An Iterative Thresholding Method for the Minimum Compliance Problem	3
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver	3
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	3
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	3
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	3
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	3
The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications	3
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	3