International Journal for Numerical Methods in Engineering

Article	Citations
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Data‐physics driven reduced order homogenization	37
On the mapping procedure based on higher‐order Hermite polynomials for laminated thin plates with arbitrary domains in gradient elasticity	35
Sparse Bayesian learning for complex‐valued rational approximations	35
Bézier extraction based isogeometric approach to multi‐objective topology optimization of periodic microstructures	34
Control Variates Method to Estimate Stochastic Buckling Loads	34
Computational homogenization of higher‐order continua	34
Hybrid time‐dependent reliability analysis under a mixture of random and interval uncertainties	31
A novel phase‐field based cohesive zone model for modeling interfacial failure in composites	31
Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells	31
Intelligent stiffness computation for plate and beam structures by neural network enhanced finite element analysis	30
Non‐intrusive reduced‐order modeling using convolutional autoencoders	29
Topology optimization of thermo‐elastic structures with temperature‐dependent material properties under large temperature gradient	29
A novel numerical strategy for modeling the moving boundary value problem of electrochemical machining	28
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Space and chaos‐expansion Galerkin proper orthogonal decomposition low‐order discretization of partial differential equations for uncertainty quantification	27
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Structure preserving and energy dissipative contact approaches for implicit dynamics	25
A decoupled probabilistic constrained topology optimization method based on the constraint shift	25
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On sparse regression, Lp‐regularization, and automated model discovery	25
Parametric reduced order models based on a Riemannian barycentric interpolation	25
Treatment of inelastic material models within a dynamic ALE formulation for structures subjected to moving loads	25
Regularized X‐FEM Modeling of Arbitrary 3D Interacting Crack Networks	24
Topology optimization of stability‐constrained structures with simple/multiple eigenvalues	24
A two‐way coupling approach for simulating bouncing droplets	24
Improved back propagation neural network based on the enrichment for the crack propagation	24
The Force Method Version of Goodman's Joint Element with Convergence Proof	24
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Elastoplastic damage model and numerical implementation of nano‐silica incorporated concrete	23
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Hierarchical subspace evolution method for super large parallel computing: A linear solver and an eigensolver as examples	21
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	21
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Multiscale optimal design method of acoustic metamaterials using topology optimization	21
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A free‐interface component mode synthesis of moving contact multibodies and its application to gear contacts	20
A physics‐based model reduction approach for node‐to‐segment contact problems in linear elasticity	20
Multisource uncertain dynamic load identification fitted by Legendre polynomial based on precise integration and the Savitzky–Golay filters	20
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Thermomechanical fatigue life prediction of metallic materials by a gradient‐enhanced viscoplastic damage approach	19
Artificial instabilities of finite elements for nonlinear elasticity: Analysis and remedies	19
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Shape optimization with immersed interface finite element method	19
Bayesian calibration for large‐scale fluid structure interaction problems under embedded/immersed boundary framework	19
Meshless physics‐informed deep learning method for three‐dimensional solid mechanics	18
Neural Ordinary Differential Equations for Model Order Reduction of Stiff Systems	17
On the number of subproblem iterations per coupling step in partitioned fluid‐structure interaction simulations	17
Modelling the effect of point forces and moments in plate bending with hybrid‐Trefftz stress elements	17
Compliant Mechanism Synthesis Using Nonlinear Elastic Topology Optimization With Variable Boundary Conditions	17
Concurrent Optimization of Unit‐Cell Topology and Tessellating Orientation for Finite Periodic Structures	17
A Decoupled Approach to Multidisciplinary System Analysis Under Uncertainty	17
Higher‐order generalized‐α methods for parabolic problems	17
Explicit topology optimization for graded lattice flexoelectric nanostructures via ersatz material model	17
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Mixed formulation of physics‐informed neural networks for thermo‐mechanically coupled systems and heterogeneous domains	16
Efficient co‐solution of time step size and independent state in simulations of fluid‐driven fracture propagation with embedded meshes	16
The inherent strain method for simulation of additive manufacturing–A critical assessment based on a new variant of the method	16
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A neural network‐enhanced reproducing kernel particle method for modeling strain localization	14
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High order weight‐adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes	14
Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems	14
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Generalized coordinate smoothed particle hydrodynamics with an overset method in total Lagrangian formulation	14
Local knot method for solving inverse Cauchy problems of Helmholtz equations on complicated two‐ and three‐dimensional domains	14
A generalized discrete fiber angle optimization method for composite structures: Bipartite interpolation optimization	14

Optimal local truncation error method to solution of 2‐D time‐independent elasticity problems with optimal accuracy on irregular domains and unfitted Cartesian meshes	14
Analysis of progressive fracture in fluid‐saturated porous medium using splines	14
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	14
Two 8‐node quadrilateral unsymmetric elements with different incompatible modes immune to severe distortion	14
A semi‐hybrid‐mixed method for Stokes–Brinkman–Darcy flows with H(div)‐velocity fields	13
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A Computational Comparison of Variational Formulations for the Direct Solution of Hybrid Elastography Inverse Problems	13
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A Unified Algorithm Framework for Phase‐Field Based Multimaterial Topology Optimization With Various Graded Interfaces	13
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High‐efficiency algorithms for simulating metal failure effects under multiaxial repeated loadings	13
Hexahedral finite elements with enhanced fixed‐pole interpolation for linear static and vibration analysis of 3D micropolar continuum	13
Data‐Based Estimation of Critical Time Steps for Explicit Time Integration	13
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Image‐based isogeometric twins of lattices with virtual image correlation for varying cross‐section beams	13
A stepwise physics‐informed neural network for solving large deformation problems of hypoelastic materials	13
Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history	13
Bridging Overlapping 2D Coarse and Fine Meshes Within the Phase Field Fracture Method	13
Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations	12
A moving morphable component‐based topology optimization approach considering transient structural dynamic responses	12
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Towards robust, fast solutions of elliptic equations on complex domains through hybrid high‐order discretizations and non‐nested multigrid methods	12
Analytical uncertainty quantification approach based on adaptive generalized co‐Gaussian process model	12
An adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systems	12
Computation of eigenvalues of a real, symmetric 3 × 3 matrix with particular reference to the pernicious case of two nearly equal eigenvalues	12
Enhanced modified reliability index approach for efficient and robust reliability‐based design optimization	12
Disciplinary proper orthogonal decomposition and interpolation for the resolution of parameterized multidisciplinary analysis	12
Implementation of balancing domain decomposition method for parallel finite element analysis involving inactive elements	12
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Extending CAS elements to remove shear and membrane locking from quadratic NURBS‐based discretizations of linear plane Timoshenko rods	11
Improved Conservative Phase Field Method for Contact Line Motion With Solidification	11
A General Bipenalty Formulation for Explicit Contact‐Impact Analysis With a Parameter Selection Criterion	11
Nonlinear response modelling of material systems using constrained Gaussian processes	11
On a marching level‐set method for extended discontinuous Galerkin methods for incompressible two‐phase flows: Application to two‐dimensional settings	11
The scaled boundary finite element method for dispersive wave propagation in higher‐order continua	11
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An Energy‐Conserving Time Integration Scheme for Nonlinear Dynamics Analysis of Geometrically Exact 3D Euler–Bernoulli Beams	11
An efficient parallel solution scheme for the phase field approach to dynamic fracture based on a domain decomposition method	11
Normalized Field Product Approach: A Parameter‐Free Density Evaluation Method for Close‐To‐Binary Solutions in Topology Optimization With Embedded Length Scale	11
Efficient numerical strategies for an implicit volume fraction transfer scheme for single crystal plasticity including twinning and secondary plasticity on the example of magnesium	11
Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy	11
Revisiting strain localization analysis for elastoplastic constitutive models in geomechanics	11
An Adjoint‐Based Methodology for Sensitivity Analysis of Time‐Periodic Flows With Reduced Time Integration	11
A tracking strategy for multi‐branched crack tips in phase‐field modeling of dynamic fractures	11
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Multiscale formulation for saturated porous media preserving the representative volume element size objectivity	10
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Nonlinear frequency response analysis using MSC Nastran	10
Accelerated Non‐linear Stability Analysis Based on Predictions From Data‐Based Surrogate Models	10
Extension of the a posteriori finite element method (APFEM) to geometrical alterations and application to stochastic homogenisation	10
Bar Axial Force Correction Method for the Elastic Performance of Truss Materials With Periodic Units	10
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Discrete variable topology optimization for maximizing single/multiple natural frequencies and frequency gaps considering the topological constraint	10
Generalized particle domain method: An extension of material point method generates particles from the CAD files	10
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage	10
An explicit pseudo‐energy conservative scheme for contact between deformable solids	10
Mesh distortion insensitive and locking‐free Petrov–Galerkin low‐order EAS elements for linear elasticity	10
Deep learning phase‐field model for brittle fractures	10
Perfectly matched layers for peridynamic scalar waves and the numerical discretization on real coordinate space	10
Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters	10
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Thermodynamically consistent numerical modeling of immiscible two‐phase flow in poro‐viscoelastic media	10
Nonlocal geometric fracture theory: A nonlocal‐local asymptotically compatible framework for continuous–discontinuous deformation of solid materials	9
A posteriori error estimator for a multiscale hybrid mixed method for Darcy's flows	9
An incremental‐secant mean‐field homogenization model enhanced with a non‐associated pressure‐dependent plasticity model	9
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X‐IGALME: Isogeometric analysis extended with local maximum entropy for fracture analysis	9
A coupled DEM‐IMB‐LBM model for simulating methane hydrate exploitation involving particle dissolution	9
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DCEM: A deep complementary energy method for linear elasticity	9
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A nonlocal interface approach to peridynamics exemplified by continuum‐kinematics‐inspired peridynamics	9
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Net‐based thermal‐fluid model and hybrid optimization of cooling channels	9
A multifidelity approach coupling parameter space reduction and nonintrusive POD with application to structural optimization of passenger ship hulls	9
Circular representative volume elements for strain localization problems	9
A new design approach for thermal actuators based on topology optimization with stress constraints	9
On the computational treatment of fully coupled crystal plasticity slip and martensitic transformation constitutive models at finite strains	9
Mesh superposition‐based multiscale stress analysis of composites using homogenization theory and re‐localization technique considering fiber location variation	9
Kernel‐based active subspaces with application to computational fluid dynamics parametric problems using the discontinuous Galerkin method	9
Matrix‐based implementation and GPU acceleration of hybrid FEM and peridynamic model for hydro‐mechanical coupled problems	9
An extended finite element method with polygonal enrichment shape functions for crack propagation and stiff interfaceproblems	9
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Petrov–Galerkin zonal free element method for 2D and 3D mechanical problems	9
A node‐based uniform strain virtual element method for compressible and nearly incompressible elasticity	9
A new stochastic method based on the Taylor expansion to compute response probability densities of uncertain systems	9
Complex Fourier‐based stress intensity factor analysis of plane elasticity using boundary element theories	9
A new method to interpolate POD reduced bases–Application to the parametric model order reduction of a gas bearings supported rotor	9
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Multi‐material topology optimization method for transient thermal structure with constraint on permissible temperatures	9
Machine learning in solid mechanics: Application to acoustic metamaterial design	9
Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation	9
Localized model order reduction and domain decomposition methods for coupled heterogeneous systems	9
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Quantum‐Classical Hybrid Genetic Evolutionary Algorithm for Topology Optimization of Continuum Structures	9
SAFT: Shotgun advancing front technique for massively parallel mesh generation on graphics processing unit	9
Geometrically conforming and directionally enriched finite element method for three dimensional slender members	9
On the implementation of a material point‐based arc‐length method	8
A total‐strain based orthotropic continuum model for the cyclic nonlinear behavior of unreinforced brick masonry structures	8
Nonlinear dimensionality reduction for parametric problems: A kernel proper orthogonal decomposition	8
Stress‐constrained multiscale topology optimization with connectable graded microstructures using the worst‐case analysis	8
Highly precise and efficient solution strategy for linear heat conduction and structural dynamics	8
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A mixed hexahedral solid‐shell finite element with self‐equilibrated isostatic assumed stresses for geometrically nonlinear problems	8
Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods	8
Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system	8
Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation	8
Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations	8
An explicit phase field material point method for modeling dynamic fracture problems	8
Development of smoothed particle hydrodynamics method for modeling active nematics	8
Machine learning based asymptotic homogenization and localization: Predictions of key local behaviors of multiscale configurations bearing microstructural varieties	8
Retracted: Stability analysis of blocky structure system using discontinuity layout optimization	8
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A robust cut‐cell finite element method for Poisson's equation in three dimensions	8
TO‐NODE: Topology optimization with neural ordinary differential equation	8
Preconditioned smoothed numerical manifold methods with unfitted meshes	8
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A Numerical Framework for Fast Transient Compressible Flows Using Lattice Boltzmann and Immersed Boundary Methods	8
Data‐informed uncertainty quantification for laser‐based powder bed fusion additive manufacturing	8
Stochastic spectral cell method for structural dynamics and wave propagations	8
Robust flat‐facet triangular shell finite element	8
Numerical modeling of nonlinear photoelasticity	8
Stabilization‐free virtual element method for 2D elastoplastic problems	8
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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	8
Computational multiphase periporomechanics for unguided cracking in unsaturated porous media	7
Domain decomposition methods and acceleration techniques for the phase field fracture staggered solver	7
Exploiting the Kronecker product structure of φ−functions in exponential integrators	7
Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes	7
Efficient estimation procedure for failure probability function by an augmented directional sampling	7
Stress field and interaction forces between dislocations and precipitate distributions	7
A highly efficient method for structural model reduction	7
Spectral Chebyshev method coupled with a high order continuation for nonlinear bending and buckling analysis of functionally graded sandwich beams	7
MPMICE: A hybrid MPM‐CFD model for simulating coupled problems in porous media. Application to earthquake‐induced submarine landslides	7
Generalization of anisotropic damage mechanics modeling in the material point method	7
Plastic‐Damage Thin‐Layer Element Model for Seismic Failure Analysis of Concrete Dams	7
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	7
On non‐stationary polarization methods in FFT‐based computational micromechanics	7
Data‐Driven Optimization for the Evolve‐Filter‐Relax Regularization of Convection‐Dominated Flows	7
A finite addition of matter elements method for modeling and solution of an SLM thermal problem by a multiscale method	7
Fast explicit time integration schemes for parabolic problems in mechanics	7
Hourglassing‐ and locking‐free mesh distortion insensitive Petrov–Galerkin EAS element for large deformation solid mechanics	7
A micromechanical mean‐field homogenization surrogate for the stochastic multiscale analysis of composite materials failure	7
Accurate data‐driven surrogates of dynamical systems for forward propagation of uncertainty	7
Proposal of a modified optimality criteria method for topology optimization analysis in 3‐dimensional dynamic oscillation problems	7
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A nonsmooth generalized‐alpha method for mechanical systems with frictional contact	7
A Hybrid Pressure Formulation of the Face‐Centred Finite Volume Method for Viscous Laminar Incompressible Flows	7
The fractal version of the bond‐based peridynamics method	7
A Novel Discrete Element Method for Smooth Polyhedrons and Its Application to Modeling Flows of Concave‐Shaped Particles	7
An efficient reduced‐order method for stochastic eigenvalue analysis	7
A second‐order reduced multiscale method for nonlinear shell structures with orthogonal periodic configurations	7
Stable parameters identification for rational approximation of Single degree of freedom frequency response function of semi‐infinite medium	7
Dynamic topology optimization considering the influence of the non‐uniform temperature field	7
Topology optimization of damage‐resistant structures with a predefined load‐bearing capacity	7
Shape optimization method for strength design problem of microstructures in a multiscale structure	7
A projection‐based quaternion discretization of the geometrically exact beam model	7
Spacetime Wavelet Method for the Solution of Nonlinear Partial Differential Equations	7
Model order reduction for deforming domain problems in a time‐continuous space‐time setting	7
A dual decomposition of the closest point projection in incremental elasto‐plasticity using a mixed shell finite element	7
Penalty‐free discontinuous Galerkin method	7
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On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables	7
Multiscale analysis for 3D lattice structures based on parallel computing	7
A fully coupled regularized mortar‐type finite element approach for embedding one‐dimensional fibers into three‐dimensional fluid flow	7
Concurrent topology optimization of multiple components sharing partial design domain based on distance regularized parameterized level set method	7
A finite element level set method based on adaptive octree meshes for thermal free‐surface flows	7