International Journal for Numerical Methods in Engineering

Article	Citations
Issue Information	156
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Control Variates Method to Estimate Stochastic Buckling Loads	46
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Data‐physics driven reduced order homogenization	42
Computational homogenization of higher‐order continua	41
Space and chaos‐expansion Galerkin proper orthogonal decomposition low‐order discretization of partial differential equations for uncertainty quantification	39
On sparse regression, Lp‐regularization, and automated model discovery	39
Topology optimization of stability‐constrained structures with simple/multiple eigenvalues	36
Elastoplastic damage model and numerical implementation of nano‐silica incorporated concrete	34
On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity	34
Physics‐Informed Neural Networks for Solving Parameterized Dual‐Domain Darcy–Brinkman Flows in Gradient Porous Mediums	32
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The Force Method Version of Goodman's Joint Element with Convergence Proof	31
A decoupled probabilistic constrained topology optimization method based on the constraint shift	31
Structure preserving and energy dissipative contact approaches for implicit dynamics	30
A two‐way coupling approach for simulating bouncing droplets	29
Intelligent stiffness computation for plate and beam structures by neural network enhanced finite element analysis	28
Improved back propagation neural network based on the enrichment for the crack propagation	28
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Regularized X‐FEM Modeling of Arbitrary 3D Interacting Crack Networks	27
Sparse Bayesian learning for complex‐valued rational approximations	27

Hybrid time‐dependent reliability analysis under a mixture of random and interval uncertainties	26
A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining	26
Topology optimization of thermo‐elastic structures with temperature‐dependent material properties under large temperature gradient	25
Treatment of inelastic material models within a dynamic ALE formulation for structures subjected to moving loads	25
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Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells	25
Non‐intrusive reduced‐order modeling using convolutional autoencoders	24
An F‐Bar B‐Spline Material Point Method for Capturing Size‐Dependent Strain Localization With Finite Strain Gradient Plasticity	24
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On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations	22
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems	22
Higher‐order generalized‐α methods for parabolic problems	22
The inherent strain method for simulation of additive manufacturing–A critical assessment based on a new variant of the method	22
A Decoupled Approach to Multidisciplinary System Analysis Under Uncertainty	21
Compliant Mechanism Synthesis Using Nonlinear Elastic Topology Optimization With Variable Boundary Conditions	21
Artificial instabilities of finite elements for nonlinear elasticity: Analysis and remedies	20
A Stochastic Method of Moving Asymptotes for Topology Optimization Under Uncertainty	20
Multiscale optimal design method of acoustic metamaterials using topology optimization	20
An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems	19
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A free‐interface component mode synthesis of moving contact multibodies and its application to gear contacts	18
Consensus in Preference‐Based Conflict Situations	17
Modeling the Fluid‐Structure Interactions of a Hairy Yarn in Air‐Jet Weaving: A Multiscale Approach	17
Hierarchical subspace evolution method for super large parallel computing: A linear solver and an eigensolver as examples	17
Modelling the effect of point forces and moments in plate bending with hybrid‐Trefftz stress elements	17
Multisource uncertain dynamic load identification fitted by Legendre polynomial based on precise integration and the Savitzky–Golay filters	17
Explicit topology optimization for graded lattice flexoelectric nanostructures via ersatz material model	17
Concurrent Optimization of Unit‐Cell Topology and Tessellating Orientation for Finite Periodic Structures	17
Bayesian calibration for large‐scale fluid structure interaction problems under embedded/immersed boundary framework	16
Variable Density Interpolation for Dynamic Topology Optimization	16
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Thermomechanical fatigue life prediction of metallic materials by a gradient‐enhanced viscoplastic damage approach	16
A physics‐based model reduction approach for node‐to‐segment contact problems in linear elasticity	16
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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 method	15
Analysis of progressive fracture in fluid‐saturated porous medium using splines	15
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Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems	15
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Mixed formulation of physics‐informed neural networks for thermo‐mechanically coupled systems and heterogeneous domains	15
Data‐Based Estimation of Critical Time Steps for Explicit Time Integration	15
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Efficient co‐solution of time step size and independent state in simulations of fluid‐driven fracture propagation with embedded meshes	15
Shape optimization with immersed interface finite element method	15

Two 8‐node quadrilateral unsymmetric elements with different incompatible modes immune to severe distortion	14
Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history	14
A Unified Algorithm Framework for Phase‐Field Based Multimaterial Topology Optimization With Various Graded Interfaces	14
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Hexahedral finite elements with enhanced fixed‐pole interpolation for linear static and vibration analysis of 3D micropolar continuum	14
Bridging Overlapping 2D Coarse and Fine Meshes Within the Phase Field Fracture Method	14
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Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two‐ and three‐dimensional domains	13
A Stabilized Finite Element Framework for Incompressible Hyperelastic Materials at Finite Strains: Analysis, Implementation, and Applications	13
High‐efficiency algorithms for simulating metal failure effects under multiaxial repeated loadings	13
A Framework for Nonlinearly‐Constrained Gradient‐Enhanced Local Bayesian Optimization With Comparisons to Quasi‐Newton Optimizers	13
A stepwise physics‐informed neural network for solving large deformation problems of hypoelastic materials	13
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A Computational Comparison of Variational Formulations for the Direct Solution of Hybrid Elastography Inverse Problems	13
A neural network‐enhanced reproducing kernel particle method for modeling strain localization	13
Generalized coordinate smoothed particle hydrodynamics with an overset method in total Lagrangian formulation	13
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A generalized discrete fiber angle optimization method for composite structures: Bipartite interpolation optimization	12
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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 eigenvalues	12
Efficient numerical strategies for an implicit volume fraction transfer scheme for single crystal plasticity including twinning and secondary plasticity on the example of magnesium	12
A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields	12
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Analytical uncertainty quantification approach based on adaptive generalized co‐Gaussian process model	12
Finite Element Analysis of Particle Size Effects on Piezoelectric Nanogenerator Performance	12
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Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes	12
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An efficient parallel solution scheme for the phase field approach to dynamic fracture based on a domain decomposition method	12
Improved Conservative Phase Field Method for Contact Line Motion With Solidification	11
Enhanced modified reliability index approach for efficient and robust reliability‐based design optimization	11
Nonlinear response modelling of material systems using constrained Gaussian processes	11
Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy	11
A moving morphable component‐based topology optimization approach considering transient structural dynamic responses	11
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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 Scale	11
Disciplinary proper orthogonal decomposition and interpolation for the resolution of parameterized multidisciplinary analysis	11
An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems	11
The scaled boundary finite element method for dispersive wave propagation in higher‐order continua	11
A General Bipenalty Formulation for Explicit Contact‐Impact Analysis With a Parameter Selection Criterion	11
An Adjoint‐Based Methodology for Sensitivity Analysis of Time‐Periodic Flows With Reduced Time Integration	11
Revisiting strain localization analysis for elastoplastic constitutive models in geomechanics	11
Image‐based isogeometric twins of lattices with virtual image correlation for varying cross‐section beams	11
Extending CAS elements to remove shear and membrane locking from quadratic NURBS‐based discretizations of linear plane Timoshenko rods	11
A tracking strategy for multi‐branched crack tips in phase‐field modeling of dynamic fractures	11
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations	11
Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements	11
Bar Axial Force Correction Method for the Elastic Performance of Truss Materials With Periodic Units	11
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Efficient XFEM/GFEM Approach for the Analysis of Thick Plates Utilizing Global Enrichments	10
Accelerated Non‐linear Stability Analysis Based on Predictions From Data‐Based Surrogate Models	10
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On the computational treatment of fully coupled crystal plasticity slip and martensitic transformation constitutive models at finite strains	10
Generalized particle domain method: An extension of material point method generates particles from the CAD files	10
Multiscale formulation for saturated porous media preserving the representative volume element size objectivity	10
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An Energy‐Conserving Time Integration Scheme for Nonlinear Dynamics Analysis of Geometrically Exact 3D Euler–Bernoulli Beams	10
Deep learning phase‐field model for brittle fractures	10
Extension of the a posteriori finite element method (APFEM) to geometrical alterations and application to stochastic homogenisation	10
Nonlinear frequency response analysis using MSC Nastran	10
Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation	10
Perfectly matched layers for peridynamic scalar waves and the numerical discretization on real coordinate space	10
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A Stabilized Bipenalty Formulation Using a Predictor‐Corrector Scheme for Explicit Contact‐Impact Analysis	10
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Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage	10
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems	10
Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters	10
Data‐informed uncertainty quantification for laser‐based powder bed fusion additive manufacturing	9
A mixed hexahedral solid‐shell finite element with self‐equilibrated isostatic assumed stresses for geometrically nonlinear problems	9
Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation	9
Matrix‐based implementation and GPU acceleration of hybrid FEM and peridynamic model for hydro‐mechanical coupled problems	9
Machine learning in solid mechanics: Application to acoustic metamaterial design	9
Discrete variable topology optimization for maximizing single/multiple natural frequencies and frequency gaps considering the topological constraint	9

An explicit pseudo‐energy conservative scheme for contact between deformable solids	9
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An incremental‐secant mean‐field homogenization model enhanced with a non‐associated pressure‐dependent plasticity model	9
A Numerical Framework for Fast Transient Compressible Flows Using Lattice Boltzmann and Immersed Boundary Methods	9
Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods	9
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): 5511‐5	9
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DCEM: A deep complementary energy method for linear elasticity	9
A Correction to ‘A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy’	9
A new design approach for thermal actuators based on topology optimization with stress constraints	9
Thermodynamically consistent numerical modeling of immiscible two‐phase flow in poro‐viscoelastic media	9
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Circular representative volume elements for strain localization problems	9
On the implementation of a material point‐based arc‐length method	9
Quantum‐Classical Hybrid Genetic Evolutionary Algorithm for Topology Optimization of Continuum Structures	9
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A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor	9
A coupled DEM‐IMB‐LBM model for simulating methane hydrate exploitation involving particle dissolution	9
Kernel‐based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method	9
An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interfaceproblems	9
Multi‐material topology optimization method for transient thermal structure with constraint on permissible temperatures	9
Petrov–Galerkin zonal free element method for 2D and 3D mechanical problems	9
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Geometrically conforming and directionally enriched finite element method for three dimensional slender members	9
A multifidelity approach coupling parameter space reduction and nonintrusive POD with application to structural optimization of passenger ship hulls	8
A finite element level set method based on adaptive octree meshes for thermal free‐surface flows	8
A fully coupled regularized mortar‐type finite element approach for embedding one‐dimensional fibers into three‐dimensional fluid flow	8
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Numerical modeling of nonlinear photoelasticity	8
Nonlocal geometric fracture theory: A nonlocal‐local asymptotically compatible framework for continuous–discontinuous deformation of solid materials	8
A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics	8
Preconditioned smoothed numerical manifold methods with unfitted meshes	8
Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation	8
SAFT: Shotgun advancing front technique for massively parallel mesh generation on graphics processing unit	8
A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows	8
Data‐Driven Optimization for the Evolve‐Filter‐Relax Regularization of Convection‐Dominated Flows	8
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 domain	8
Efficient estimation procedure for failure probability function by an augmented directional sampling	8
A robust cut‐cell finite element method for Poisson's equation in three dimensions	8
Complex Fourier‐based stress intensity factor analysis of plane elasticity using boundary element theories	8
A Hierarchical Quadrature Element Formulation for Fracture Parameter Evaluation in Thermoelastic Crack Problems	8
A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity	8
An explicit phase field material point method for modeling dynamic fracture problems	8
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Net‐based thermal‐fluid model and hybrid optimization of cooling channels	8
Plastic‐Damage Thin‐Layer Element Model for Seismic Failure Analysis of Concrete Dams	8
Retracted: Stability analysis of blocky structure system using discontinuity layout optimization	8
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Stabilization‐free virtual element method for 2D elastoplastic problems	8
Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations	8
TO‐NODE: Topology optimization with neural ordinary differential equation	8
A new stochastic method based on the Taylor expansion to compute response probability densities of uncertain systems	8
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Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system	8
A Hybrid Pressure Formulation of the Face‐Centred Finite Volume Method for Viscous Laminar Incompressible Flows	7
A total‐strain based orthotropic continuum model for the cyclic nonlinear behavior of unreinforced brick masonry structures	7
A finite addition of matter elements method for modeling and solution of an SLM thermal problem by a multiscale method	7
Proposal of a modified optimality criteria method for topology optimization analysis in 3‐dimensional dynamic oscillation problems	7
An efficient reduced‐order method for stochastic eigenvalue analysis	7
On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables	7
Accurate data‐driven surrogates of dynamical systems for forward propagation of uncertainty	7
A highly efficient method for structural model reduction	7
A Novel Discrete Element Method for Smooth Polyhedrons and Its Application to Modeling Flows of Concave‐Shaped Particles	7
Highly precise and efficient solution strategy for linear heat conduction and structural dynamics	7
Fourth‐ and Higher‐Order Finite Element Methods for the Incompressible Navier–Stokes Equations With Dirichlet Boundary Conditions	7
Model order reduction for deforming domain problems in a time‐continuous space‐time setting	7
Concurrent topology optimization of multiple components sharing partial design domain based on distance regularized parameterized level set method	7
Stress‐constrained multiscale topology optimization with connectable graded microstructures using the worst‐case analysis	7
Penalty‐free discontinuous Galerkin method	7
MPMICE: A hybrid MPM‐CFD model for simulating coupled problems in porous media. Application to earthquake‐induced submarine landslides	7
Development of smoothed particle hydrodynamics method for modeling active nematics	7
Development and Validation of an Actuator Line Method for Fuzzy Yarns in High‐Speed Air Flow	7
Structural Topology Optimization With the Simultaneous Constraints to Maximum Contact Pressure and Fatigue Damage	7
The fractal version of the bond‐based peridynamics method	7
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Stochastic spectral cell method for structural dynamics and wave propagations	7
Mixing Data‐Driven and Physics‐Based Constitutive Models Using Uncertainty‐Driven Phase Fields	7
A projection‐based quaternion discretization of the geometrically exact beam model	7
Machine learning based asymptotic homogenization and localization: Predictions of key local behaviors of multiscale configurations bearing microstructural varieties	7
Robust flat‐facet triangular shell finite element	7
A PCA and Mesh Adaptation‐Based Format for High Compression of Earth Observation Optical Data With Applications in Agriculture	6
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Isogeometric topology optimization for infill designs of porous structures with stress minimization in additive manufacturing	6
Two New Calibration Techniques of Lumped‐Parameter Mathematical Models for the Cardiovascular System	6
Superaccurate effective elastic moduli via postprocessing in computational homogenization	6
Explicit Topology Optimization Based on the Joint‐Driven Moving Morphable Components	6
Real‐World Steel Frame Optimization Using a Hybrid Leader Selection‐Based Multi‐Objective Flow Direction Algorithm	6
A general element for shell analysis based on the scaled boundary finite element method	6
A solution to the ill‐conditioning of gradient‐enhanced covariance matrices for Gaussian processes	6
A comparative study of micromorphic gradient‐extensions for anisotropic damage at finite strains	6
Geometrically Nonlinear Optimization of Thin‐Walled 3D Structures Using a Novel Reduced‐Order Method	6
An Enriched Equilibrium Finite Element Method for Crack Problems With Direct Access to Stress Intensity Factors and Strict Error Estimation	6
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A Petrov‐Galerkin Dual‐Porosity Framework for Thermal Analysis of Fractured Porous Media	6