OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Computational Physics is 4. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems	37
Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models	25
Mandelic Acid Single-Crystal Growth: Experiments VS Numerical Simulations	25
An Efficient Numerical Algorithm for Solving Coupled Time-Dependent Ginzburg-Landau Equation for Superconductivity and Elasticity	24
A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media	24
An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows	22
A Multiscale Algorithm to Drastically Reduce Computational Times when Simulating Liquid/Solid Interaction at Atomic Resolution with Realistic Hydrodynamics Effects	20
On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems	19
Convergence Analysis of PINNs with Over-Parameterization	19
Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations	19
The Implicit Unified Gas Kinetic Scheme for Neutron Transport with Arbitrary Anisotropic Scattering Model	18
A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes	18
Adaptive Ensemble Kalman Inversion with Statistical Linearization	17
Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics	17
Thermal Regulation in Thin Vascular Systems: A Sensitivity Analysis	16
Dynamical Demixing of a Binary Mixture Under Sedimentation	16
A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment	16
Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models	15
A Simulation Approach Including Underresolved Scales for Two-Component Fluid Flows in Multiscale Porous Structures	14
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements	14
Dimension-Free Ergodicity of Path Integral Molecular Dynamics	13
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions	13
Modeling of Bound Electron Effects in Particle-in-Cell Simulation	13
A Conservative and Monotone Characteristic Finite Element Solver for Three-Dimensional Transport and Incompressible Navier-Stokes Equations on Unstructured Grids	13
Application of MUSIC Algorithm for Object Localization Without Diagonal Elements of Multi-Static Response Matrix	12

A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows	12
A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations	12
A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions	11
High Order Deep Neural Network for Solving High Frequency Partial Differential Equations	11
Stabilized Continuous Linear Element Method for the Biharmonic Problems	11
A Mixed Finite Element Scheme for Biharmonic Equation with Variable Coefficient and von Kármán Equations	11
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem	10
A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes	9
Active Nematodynamics on Curved Surfaces – The Influence of Geometric Forces on Motion Patterns of Topological Defects	9
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications	9
Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function	9
Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method	9
First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws	8
Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State	8
Obituary: Professor Jiequan Li	8
Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme	8
A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem	8
A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows	8
Modeling Thermal Regulation in Thin Vascular Systems: A Mathematical Analysis	8
A Novel Structure-Preserving Algorithm with Green’s Function Approach for Computing Band Structures of Photonic Quasicrystals	8
Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?	8
A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors	8
Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes	7
A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow	7
Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes	7
An Efficient Iterative Method for the Formulation of Flow Networks	7
An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions	7
Frame Invariance and Scalability of Neural Operators for Partial Differential Equations	7
Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition	7
A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows	7
Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap	7
A Quadratic Serendipity Finite Volume Element Method on Arbitrary Convex Polygonal Meshes	7
Two-Scale Neural Networks for Partial Differential Equations with Small Parameters	7
An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes	6
Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation	6
An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling	6
Thermodynamically Consistent Modeling and Energy Stable Numerical Simulation of Multicomponent Compressible Flow in Poroelastic Media	6
A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications	6
High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes	6
On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes	6
United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems	6
MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems	6
A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory	6
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise	6
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques	5
Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation	5
Exact Solution of the Riemann Problem for the One-Dimensional Blood Flow Equations with General Constant Momentum Correction Coefficient	5
Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term	5
Weak Collocation Regression for Inferring Stochastic Dynamics with Lévy Noise	5
Structured First-Layer Initialization Pre-Training Techniques to Accelerate Training Process Based on $\\varepsilon$-Rank	5

A Network Based Approach for Unbalanced Optimal Transport on Surfaces	5
A Nonnested Augmented Subspace Method for Kohn-Sham Equation	5
Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging	5
High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case	5
Immersed Boundary Approach to Biofilm Spread on Surfaces	5
A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains	5
Application of Computational Modelling to Particle Physics	5
A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems	5
An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems	5
Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions	5
An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites	5
Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations	5
A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids	4
High Moment and Pathwise Error Estimates for Fully Discrete Mixed Finite Element Approximations of Stochastic Navier-Stokes Equations with Additive Noise	4
A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain	4
RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit	4
High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws	4
Inverse Design of Strained Graphene Surfaces for Electron Control	4
Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations	4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver	4
Discontinuous Galerkin Method for the Coupled Dual-Porosity-Navier-Stokes Model	4
Learning PDEs from Data on Closed Surfaces with Sparse Optimization	4
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell	4
Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation	4
An Iterative Thresholding Method for the Minimum Compliance Problem	4
A Review on Contact and Collision Methods for Multi-Body Hydrodynamic Problems in Complex Flows	4
Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems	4
The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers	4
Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network	4
High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes	4
Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)	4
Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations	4
Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations	4
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems	4
Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows	4
Convergence Rate Analysis for Deep Ritz Method	4
High-Order Spectral Simulation of Dispersive Two-Dimensional Materials	4
Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms	4
High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations	4
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”	4