International Journal for Numerical Methods in Engineering

Papers
(The TQCC of International Journal for Numerical Methods in Engineering is 6. 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 2021-12-01 to 2025-12-01.)
ArticleCitations
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Control Variates Method to Estimate Stochastic Buckling Loads57
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An F‐Bar B‐Spline Material Point Method for Capturing Size‐Dependent Strain Localization With Finite Strain Gradient Plasticity48
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Computational homogenization of higher‐order continua42
Space and chaos‐expansion Galerkin proper orthogonal decomposition low‐order discretization of partial differential equations for uncertainty quantification40
The Force Method Version of Goodman's Joint Element with Convergence Proof39
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Structure preserving and energy dissipative contact approaches for implicit dynamics35
Intelligent stiffness computation for plate and beam structures by neural network enhanced finite element analysis34
A two‐way coupling approach for simulating bouncing droplets34
Improved back propagation neural network based on the enrichment for the crack propagation34
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A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining31
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Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells29
A decoupled probabilistic constrained topology optimization method based on the constraint shift29
Topology optimization of stability‐constrained structures with simple/multiple eigenvalues29
Data‐physics driven reduced order homogenization28
Regularized X‐FEM Modeling of Arbitrary 3D Interacting Crack Networks28
Sparse Bayesian learning for complex‐valued rational approximations28
On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity27
Hybrid time‐dependent reliability analysis under a mixture of random and interval uncertainties27
Non‐intrusive reduced‐order modeling using convolutional autoencoders26
Topology optimization of thermo‐elastic structures with temperature‐dependent material properties under large temperature gradient26
On sparse regression, Lp‐regularization, and automated model discovery25
Physics‐Informed Neural Networks for Solving Parameterized Dual‐Domain Darcy–Brinkman Flows in Gradient Porous Mediums25
Treatment of inelastic material models within a dynamic ALE formulation for structures subjected to moving loads25
Elastoplastic damage model and numerical implementation of nano‐silica incorporated concrete24
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Multiscale optimal design method of acoustic metamaterials using topology optimization22
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems22
A free‐interface component mode synthesis of moving contact multibodies and its application to gear contacts22
Compliant Mechanism Synthesis Using Nonlinear Elastic Topology Optimization With Variable Boundary Conditions22
An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems22
Higher‐order generalized‐α methods for parabolic problems22
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Hierarchical subspace evolution method for super large parallel computing: A linear solver and an eigensolver as examples20
Consensus in Preference‐Based Conflict Situations19
Modeling the Fluid‐Structure Interactions of a Hairy Yarn in Air‐Jet Weaving: A Multiscale Approach19
Variable Density Interpolation for Dynamic Topology Optimization18
A physics‐based model reduction approach for node‐to‐segment contact problems in linear elasticity18
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On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations18
Artificial instabilities of finite elements for nonlinear elasticity: Analysis and remedies18
A Stochastic Method of Moving Asymptotes for Topology Optimization Under Uncertainty17
Explicit topology optimization for graded lattice flexoelectric nanostructures via ersatz material model17
Concurrent Optimization of Unit‐Cell Topology and Tessellating Orientation for Finite Periodic Structures17
Shape optimization with immersed interface finite element method17
Thermomechanical fatigue life prediction of metallic materials by a gradient‐enhanced viscoplastic damage approach17
Bayesian calibration for large‐scale fluid structure interaction problems under embedded/immersed boundary framework17
A Decoupled Approach to Multidisciplinary System Analysis Under Uncertainty17
The inherent strain method for simulation of additive manufacturing–A critical assessment based on a new variant of the method16
Modelling the effect of point forces and moments in plate bending with hybrid‐Trefftz stress elements16
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Multisource uncertain dynamic load identification fitted by Legendre polynomial based on precise integration and the Savitzky–Golay filters16
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Mixed formulation of physics‐informed neural networks for thermo‐mechanically coupled systems and heterogeneous domains16
Efficient co‐solution of time step size and independent state in simulations of fluid‐driven fracture propagation with embedded meshes16
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On the use of a mass lumping technique compatible with a fully‐coupled hydromechanical model for the case of strong discontinuities with the extended finite element method15
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Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history15
Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems15
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Data‐Based Estimation of Critical Time Steps for Explicit Time Integration15
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Hexahedral finite elements with enhanced fixed‐pole interpolation for linear static and vibration analysis of 3D micropolar continuum14
A Computational Comparison of Variational Formulations for the Direct Solution of Hybrid Elastography Inverse Problems14
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Bridging Overlapping 2D Coarse and Fine Meshes Within the Phase Field Fracture Method14
Two 8‐node quadrilateral unsymmetric elements with different incompatible modes immune to severe distortion14
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A Unified Algorithm Framework for Phase‐Field Based Multimaterial Topology Optimization With Various Graded Interfaces14
Analysis of progressive fracture in fluid‐saturated porous medium using splines13
A Framework for Nonlinearly‐Constrained Gradient‐Enhanced Local Bayesian Optimization With Comparisons to Quasi‐Newton Optimizers13
Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes13
High‐efficiency algorithms for simulating metal failure effects under multiaxial repeated loadings13
A generalized discrete fiber angle optimization method for composite structures: Bipartite interpolation optimization13
Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two‐ and three‐dimensional domains13
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A neural network‐enhanced reproducing kernel particle method for modeling strain localization13
A stepwise physics‐informed neural network for solving large deformation problems of hypoelastic materials13
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Generalized coordinate smoothed particle hydrodynamics with an overset method in total Lagrangian formulation13
A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields13
A Stabilized Finite Element Framework for Incompressible Hyperelastic Materials at Finite Strains: Analysis, Implementation, and Applications13
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An Adjoint‐Based Methodology for Sensitivity Analysis of Time‐Periodic Flows With Reduced Time Integration12
Improved Conservative Phase Field Method for Contact Line Motion With Solidification12
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Computation of eigenvalues of a real, symmetric 3 × 3 matrix with particular reference to the pernicious case of two nearly equal eigenvalues12
Bar Axial Force Correction Method for the Elastic Performance of Truss Materials With Periodic Units12
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations12
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Normalized Field Product Approach: A Parameter‐Free Density Evaluation Method for Close‐To‐Binary Solutions in Topology Optimization With Embedded Length Scale12
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Nonlinear response modelling of material systems using constrained Gaussian processes11
Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy11
Disciplinary proper orthogonal decomposition and interpolation for the resolution of parameterized multidisciplinary analysis11
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Efficient numerical strategies for an implicit volume fraction transfer scheme for single crystal plasticity including twinning and secondary plasticity on the example of magnesium11
Revisiting strain localization analysis for elastoplastic constitutive models in geomechanics11
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The scaled boundary finite element method for dispersive wave propagation in higher‐order continua11
Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements11
An efficient parallel solution scheme for the phase field approach to dynamic fracture based on a domain decomposition method11
Deep learning phase‐field model for brittle fractures11
An Energy‐Conserving Time Integration Scheme for Nonlinear Dynamics Analysis of Geometrically Exact 3D Euler–Bernoulli Beams11
Extending CAS elements to remove shear and membrane locking from quadratic NURBS‐based discretizations of linear plane Timoshenko rods11
Finite Element Analysis of Particle Size Effects on Piezoelectric Nanogenerator Performance11
A Stabilized Bipenalty Formulation Using a Predictor‐Corrector Scheme for Explicit Contact‐Impact Analysis11
An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems11
Image‐based isogeometric twins of lattices with virtual image correlation for varying cross‐section beams11
Enhanced modified reliability index approach for efficient and robust reliability‐based design optimization11
A General Bipenalty Formulation for Explicit Contact‐Impact Analysis With a Parameter Selection Criterion11
Efficient XFEM/GFEM Approach for the Analysis of Thick Plates Utilizing Global Enrichments11
Analytical uncertainty quantification approach based on adaptive generalized co‐Gaussian process model11
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems10
A new design approach for thermal actuators based on topology optimization with stress constraints10
Thermodynamically consistent numerical modeling of immiscible two‐phase flow in poro‐viscoelastic media10
On the computational treatment of fully coupled crystal plasticity slip and martensitic transformation constitutive models at finite strains10
Nonlinear frequency response analysis using MSC Nastran10
A Correction to ‘A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy’10
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Accelerated Non‐linear Stability Analysis Based on Predictions From Data‐Based Surrogate Models10
An explicit pseudo‐energy conservative scheme for contact between deformable solids10
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A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor10
Kernel‐based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method10
Multi‐material topology optimization method for transient thermal structure with constraint on permissible temperatures10
Discrete variable topology optimization for maximizing single/multiple natural frequencies and frequency gaps considering the topological constraint10
Extension of the a posteriori finite element method (APFEM) to geometrical alterations and application to stochastic homogenisation10
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DCEM: A deep complementary energy method for linear elasticity10
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Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation10
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage10
Perfectly matched layers for peridynamic scalar waves and the numerical discretization on real coordinate space10
Multiscale formulation for saturated porous media preserving the representative volume element size objectivity10
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A coupled DEM‐IMB‐LBM model for simulating methane hydrate exploitation involving particle dissolution9
A Numerical Framework for Fast Transient Compressible Flows Using Lattice Boltzmann and Immersed Boundary Methods9
Generalized particle domain method: An extension of material point method generates particles from the CAD files9
A new stochastic method based on the Taylor expansion to compute response probability densities of uncertain systems9
Net‐based thermal‐fluid model and hybrid optimization of cooling channels9
Data‐informed uncertainty quantification for laser‐based powder bed fusion additive manufacturing9
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A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows9
Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters9
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Geometrically conforming and directionally enriched finite element method for three dimensional slender members9
Petrov–Galerkin zonal free element method for 2D and 3D mechanical problems9
A mixed hexahedral solid‐shell finite element with self‐equilibrated isostatic assumed stresses for geometrically nonlinear problems9
A Hierarchical Quadrature Element Formulation for Fracture Parameter Evaluation in Thermoelastic Crack Problems9
Overcoming the cohesive zone limit in composites delamination: modeling with slender structural elements and higher‐order adaptive integration (Int. J. Numer. Meth. Engng. 2020, 121(24): 5511‐59
A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity9
Machine learning in solid mechanics: Application to acoustic metamaterial design9
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An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interfaceproblems9
Matrix‐based implementation and GPU acceleration of hybrid FEM and peridynamic model for hydro‐mechanical coupled problems9
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An incremental‐secant mean‐field homogenization model enhanced with a non‐associated pressure‐dependent plasticity model9
Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system9
Quantum‐Classical Hybrid Genetic Evolutionary Algorithm for Topology Optimization of Continuum Structures9
Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations9
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Complex Fourier‐based stress intensity factor analysis of plane elasticity using boundary element theories9
Nonlocal geometric fracture theory: A nonlocal‐local asymptotically compatible framework for continuous–discontinuous deformation of solid materials9
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Retracted: Stability analysis of blocky structure system using discontinuity layout optimization8
A Hybrid Pressure Formulation of the Face‐Centred Finite Volume Method for Viscous Laminar Incompressible Flows8
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A multifidelity approach coupling parameter space reduction and nonintrusive POD with application to structural optimization of passenger ship hulls8
Preconditioned smoothed numerical manifold methods with unfitted meshes8
A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics8
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Efficient estimation procedure for failure probability function by an augmented directional sampling8
An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space‐angle domain8
Penalty‐free discontinuous Galerkin method8
A robust cut‐cell finite element method for Poisson's equation in three dimensions8
Circular representative volume elements for strain localization problems8
TO‐NODE: Topology optimization with neural ordinary differential equation8
Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods8
Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation8
Numerical modeling of nonlinear photoelasticity8
Data‐Driven Optimization for the Evolve‐Filter‐Relax Regularization of Convection‐Dominated Flows8
Structural Topology Optimization With the Simultaneous Constraints to Maximum Contact Pressure and Fatigue Damage8
On the implementation of a material point‐based arc‐length method8
Stabilization‐free virtual element method for 2D elastoplastic problems8
An explicit phase field material point method for modeling dynamic fracture problems8
SAFT: Shotgun advancing front technique for massively parallel mesh generation on graphics processing unit8
Stress‐constrained multiscale topology optimization with connectable graded microstructures using the worst‐case analysis7
MPMICE: A hybrid MPM‐CFD model for simulating coupled problems in porous media. Application to earthquake‐induced submarine landslides7
Exploiting the Kronecker product structure of φ−functions in exponential integrators7
The fractal version of the bond‐based peridynamics method7
Constraint Realization‐Based Hamel Field Integrator for Geometrically Exact Planar Euler–Bernoulli Beam Dynamics7
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Shape optimization method for strength design problem of microstructures in a multiscale structure7
A total‐strain based orthotropic continuum model for the cyclic nonlinear behavior of unreinforced brick masonry structures7
Plastic‐Damage Thin‐Layer Element Model for Seismic Failure Analysis of Concrete Dams7
Fourth‐ and Higher‐Order Finite Element Methods for the Incompressible Navier–Stokes Equations With Dirichlet Boundary Conditions7
Machine learning based asymptotic homogenization and localization: Predictions of key local behaviors of multiscale configurations bearing microstructural varieties7
Concurrent topology optimization of multiple components sharing partial design domain based on distance regularized parameterized level set method7
Development and Validation of an Actuator Line Method for Fuzzy Yarns in High‐Speed Air Flow7
Fast explicit time integration schemes for parabolic problems in mechanics7
A finite addition of matter elements method for modeling and solution of an SLM thermal problem by a multiscale method7
Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams7
On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables7
Stochastic spectral cell method for structural dynamics and wave propagations7
A highly efficient method for structural model reduction7
Robust flat‐facet triangular shell finite element7
Accurate data‐driven surrogates of dynamical systems for forward propagation of uncertainty7
A Novel Discrete Element Method for Smooth Polyhedrons and Its Application to Modeling Flows of Concave‐Shaped Particles7
A fully coupled regularized mortar‐type finite element approach for embedding one‐dimensional fibers into three‐dimensional fluid flow7
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Generalization of anisotropic damage mechanics modeling in the material point method7
Model order reduction for deforming domain problems in a time‐continuous space‐time setting7
A finite element level set method based on adaptive octree meshes for thermal free‐surface flows7
An efficient reduced‐order method for stochastic eigenvalue analysis7
Mixing Data‐Driven and Physics‐Based Constitutive Models Using Uncertainty‐Driven Phase Fields7
A projection‐based quaternion discretization of the geometrically exact beam model7
Development of smoothed particle hydrodynamics method for modeling active nematics7
A Comprehensive Study and Insight in Co‐Rotational Approach Based Geometrically Nonlinear Analysis With Planar Solid Elements6
A Petrov‐Galerkin Dual‐Porosity Framework for Thermal Analysis of Fractured Porous Media6
Geometrically Nonlinear Optimization of Thin‐Walled 3D Structures Using a Novel Reduced‐Order Method6
Explicit Topology Optimization Based on the Joint‐Driven Moving Morphable Components6
Shape optimization for the mitigation of coastal erosion via porous shallow water equations6
A novel three sub‐step explicit time integration method for wave propagation and dynamic problems6
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Finite element modeling of viscoelastic liquid crystal elastomers6
Overcoming volumetric locking in stable node‐based smoothed particle finite element method with cubic bubble function and selective integration6
A 3D cohesive‐frictional coupled interface model for mesoscale simulation of steel fibre‐reinforced concrete6
Two New Calibration Techniques of Lumped‐Parameter Mathematical Models for the Cardiovascular System6
Isogeometric topology optimization for infill designs of porous structures with stress minimization in additive manufacturing6
Influences of Porosity Distribution and Size‐Dependent on Bending, Buckling, and Free Vibration of Bi‐Directional FG Porous Microbeams With Variable Thickness and MLSPs Using the6
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