Computer Methods in Applied Mechanics and Engineering

Papers
(The median citation count of Computer Methods in Applied Mechanics and Engineering 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 2021-02-01 to 2025-02-01.)
ArticleCitations
Machine learning for preconditioning elliptic equations in porous microstructures: A path to error control1899
Physics-informed machine learning in asymptotic homogenization of elliptic equations593
A machine learning-based viscoelastic–viscoplastic model for epoxy nanocomposites with moisture content559
Diffusion maps-aided Neural Networks for the solution of parametrized PDEs525
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics328
Quasi-optimal mesh generation for the virtual element method: A fully adaptive remeshing procedure265
Physics-augmented neural networks for constitutive modeling of hyperelastic geometrically exact beams246
Surrogate-assisted Kriging training utilizing boxplot and correlation coefficient for large-scale data197
A Discontinuity-Enriched Finite Element Method (DE-FEM) for modeling quasi-static fracture growth in brittle solids191
Homogenization of shear-deformable beams and plates with periodic heterogeneity: A unified equilibrium-based approach177
Basis-to-basis operator learning using function encoders166
Two novel discontinuity-removing PINNs for solving variable coefficient elliptic interface problems on curved surfaces131
Creep crack propagation using phase-field model within a multi-patch isogeometric framework126
Probabilistic Learning on Manifolds (PLoM) for cross-scale diagnostics in structural dynamics126
Uncertainty quantification and propagation for multiscale materials systems with agglomeration and structural anomalies118
DMT-OMPA: Innovative applications of an efficient adversarial Marine Predators Algorithm based on dynamic matrix transformation in engineering design optimization116
DHRDE: Dual-population hybrid update and RPR mechanism based differential evolutionary algorithm for engineering applications115
Microstructure models for extreme material responses114
Structural stochastic responses determination via a sample-based stochastic finite element method109
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model109
A scalable exponential-DG approach for nonlinear conservation laws: With application to Burger and Euler equations108
A phase-field model for the brittle fracture of Euler–Bernoulli beams coupling stretching and bending107
InVAErt networks: A data-driven framework for model synthesis and identifiability analysis104
Variational temporal convolutional networks for I-FENN thermoelasticity100
Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions99
Multiscale formulation for materials composed by a saturated porous matrix and solid inclusions97
Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities96
Primal–dual on-the-fly reduced-order modeling for large-scale transient dynamic topology optimization94
The eXtended virtual element method for elliptic problems with weakly singular solutions91
Topology optimization with geometric constraints for additive manufacturing based on coupled fictitious physical model88
Patient-specific modeling of blood flow in the coronary arteries88
Proper generalized decomposition in the context of minimum compliance topology optimization for problems with separable geometries88
A BEM-based topology optimization for acoustic problems considering tangential derivative of sound pressure84
Error convergence and engineering-guided hyperparameter search of PINNs: Towards optimized I-FENN performance82
A surface flux correction-based immersed boundary-multiphase lattice Boltzmann flux solver applied to multiphase fluids–structure interaction78
Design of graded lattice sandwich structures by multiscale topology optimization77
Mechanistically informed data-driven modeling of cyclic plasticity via artificial neural networks76
A GPU implementation of the PCG method for large-scale image-based finite element analysis in heterogeneous periodic media74
Coupled sliding–decohesion–compression model for a consistent description of monotonic and fatigue behavior of material interfaces74
A machine learning framework for accelerating the design process using CAE simulations: An application to finite element analysis in structural crashworthiness74
Predicting the mechanical properties of biopolymer gels using neural networks trained on discrete fiber network data74
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework73
Enhanced fully resolved CFD-DEM-PBFM simulation of non-spherical particle–fluid interactions during hydraulic collection72
Bayesian identification of nonseparable Hamiltonians with multiplicative noise using deep learning and reduced-order modeling69
A projective transformation-based topology optimization using moving morphable components68
Convolution finite element method for analysis of piezoelectric materials68
Deep CNNs as universal predictors of elasticity tensors in homogenization65
Statistically compatible hyper-reduction for computational homogenization65
Data-driven prognostic model for temperature field in additive manufacturing based on the high-fidelity thermal-fluid flow simulation65
A continuum and computational framework for viscoelastodynamics: I. Finite deformation linear models64
Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems63
Higher temporal accuracy for LES-C turbulence models62
An improved cell-based smoothed radial point interpolation method using condensed shape functions for 3D interior acoustic problems61
A computational approach to identify the material parameters of the relaxed micromorphic model61
Weak-form latent space dynamics identification60
A patching algorithm for conditional random fields in modeling material properties60
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework60
A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics59
An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors59
Red blood cell transport in bounded shear flow: On the effects of cell viscoelastic properties59
Shape sensitivity of thermoacoustic oscillations in an annular combustor with a 3D adjoint Helmholtz solver58
Multi-objective topology optimization incorporating an adaptive weighed-sum method and a configuration-based clustering scheme57
Virtual Elements for computational anisotropic crystal plasticity57
Transcranial stimulation analysis using the smoothed finite element method56
Fast immersed boundary method based on weighted quadrature56
A unified level set method for simulating mixed granular flows involving multiple non-spherical DEM models in complex structures56
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems55
A multi-resolution SPH-FEM method for fluid–structure interactions55
Time- and frequency-domain hybridizable discontinuous Galerkin solvers for the calculation of the Cherenkov radiation54
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies52
Physics-constrained Data-Driven Variational method for discrepancy modeling51
Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps50
A neural kernel method for capturing multiscale high-dimensional micromorphic plasticity of materials with internal structures50
Free vibration of perforated cylindrical shells of revolution: Asymptotics and effective material parameters50
Solving inverse problems in stochastic models using deep neural networks and adversarial training49
A semi-implicit material point method for coupled thermo-hydro-mechanical simulation of saturated porous media in large deformation49
Rapid machine-learning enabled design and control of precise next-generation cryogenic surgery in dermatology49
Isogeometric schemes in rarefied gas dynamics context49
Editorial Board49
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems48
Active learning-assisted multi-fidelity surrogate modeling based on geometric transformation48
Distance-preserving manifold denoising for data-driven mechanics48
A new approach based on spectral graph theory to avoiding enclosed holes in topology optimization48
Multi-failure mode reliability analysis method based on intelligent directional search with constraint feedback48
Virtual element method for phase field modeling of dynamic fracture47
Taylor particle-in-cell transfer and kernel correction for material point method47
An approximate C147
Nonlocal implicit gradient enhancements for strain localization informed by controllability criteria for plastic solids47
Computational homogenization of fully coupled multiphase flow in deformable porous media46
Machine learning enhanced exploration of bubble dynamics beneath a horizontal wall46
A Finite Element based Deep Learning solver for parametric PDEs46
Model-free Data-Driven viscoelasticity in the frequency domain46
Machine learning predictive model for dynamic response of rising bubbles impacting on a horizontal wall45
Efficient data structures for model-free data-driven computational mechanics45
Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials44
Topology optimization considering multi-axis machining constraints using projection methods44
Automated translation and accelerated solving of differential equations on multiple GPU platforms44
A modified rate-dependent peridynamic model with rotation effect for dynamic mechanical behavior of ceramic materials44
Inferring unknown unknowns: Regularized bias-aware ensemble Kalman filter44
LCAHA: A hybrid artificial hummingbird algorithm with multi-strategy for engineering applications44
Quantum computing enhanced distance-minimizing data-driven computational mechanics44
A cracked zone clustering method for discrete fracture with minimal enhanced degrees of freedom44
Risk-averse design of tall buildings for uncertain wind conditions43
A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves43
Numerical approximation of partial differential equations by a variable projection method with artificial neural networks43
Frame-independent vector-cloud neural network for nonlocal constitutive modeling on arbitrary grids43
A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow43
Robust topology optimization for transient dynamic response minimization43
Generalized multiscale approximation of a mixed finite element method with velocity elimination for Darcy flow in fractured porous media43
Calibrating hypersonic turbulence flow models with the HIFiRE-1 experiment using data-driven machine-learned models43
Pore-scale model of freezing inception in a porous medium42
Towards adjoint-based mesh refinement for Large Eddy Simulation using reduced-order primal solutions: Preliminary 1D Burgers study42
Three-dimensional transient heat conduction problems in FGMs via IG-DRBEM42
Topology optimization for inverse magnetostatics as sparse regression: Application to electromagnetic coils for stellarators41
Energy-conserving interface dynamics with asynchronous direct time integration employing arbitrary time steps41
Empirical Interscale Finite Element Method (EIFEM) for modeling heterogeneous structures via localized hyperreduction41
Stabilized LSMPS method for complex free-surface flow simulation41
The incorporation of mesh quality in the stabilization of virtual element methods for nonlinear elasticity41
Hyper-dual number-based numerical differentiation of eigensystems41
A full-scale topology optimization method for surface fiber reinforced additive manufacturing parts41
Editorial Board40
Nonlinear material identification of heterogeneous isogeometric Kirchhoff–Love shells40
Bayesian calibration of computer models based on Takagi–Sugeno fuzzy models39
A computational framework for well production simulation: Coupling steady state Darcy flow and channel flow by SGBEM–FEM39
Highly efficient ensemble algorithms for computing the Stokes–Darcy equations39
Explicit time integration scheme with large time steps for first order transient problems using finite increment calculus39
An efficient discretization for a family of Time Relaxation models39
Topology optimization of multi-gradient composite38
BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines38
Quadratic serendipity element shape functions on general planar polygons38
Bayesian model calibration for diblock copolymer thin film self-assembly using power spectrum of microscopy data and machine learning surrogate38
Editorial Board38
A multiscale phase field fracture approach based on the non-affine microsphere model for rubber-like materials37
Synergistic integration of deep neural networks and finite element method with applications of nonlinear large deformation biomechanics37
A mid-fidelity numerical method for blood flow in deformable vessels36
Enforcement of interface laws for dissipative vibro-acoustic problems within high-order X-FEM36
Tridynamic model of the beam with transverse shear deformation36
Turbulent kinetic dissipation analysis for residual-based large eddy simulation of incompressible turbulent flow by variational multiscale method36
Inelastic equation of state for solids35
A parameter-free LES model for anisotropic mesh adaptivity35
A thermodynamically consistent time integration scheme for non-linear thermo-electro-mechanics35
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface35
11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes35
Interpolatory tensorial reduced order models for parametric dynamical systems35
Efficient multi-partition topology optimization35
Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture35
A novel continuum mechanical framework for decoupled material behavior in thickness and in-plane directions35
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization35
Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements35
A generalized elastic coordinate method for unconstrained structural dynamics35
Data-physics driven multiscale approach for high-pressure resin transfer molding (HP-RTM)35
An extended ordinary state-based peridynamics for non-spherical horizons34
Editorial Board34
Analysis, improvement and limits of the multiscale Latin method34
Machine learning of nonlocal micro-structural defect evolutions in crystalline materials34
Variationally consistent Hellmann–Feynman forces in the finite element formulation of Kohn–Sham density functional theory34
Editorial Board34
Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves33
Geometric re-meshing strategies to simulate contactless rebounds of elastic solids in fluids33
A priori error analysis for an isogeometric discontinuous Galerkin approximation for convection problems on surfaces33
Laudatio for Editor Thomas J.R. Hughes33
A multilevel block preconditioner for the HDG trace system applied to incompressible resistive MHD33
A comparative accuracy and convergence study of eigenerosion and phase-field models of fracture33
Local surrogate responses in the Schwarz alternating method for elastic problems on random voided domains33
A nested non-invasive stochastic isogeometric method for the deformation of porous functionally graded material plates with high-dimensional material uncertainties33
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change32
Rate-dependent phase field fracture simulation in polymers with adaptive mixed isogeometric approach32
A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network32
Multi-scale design of composite material structures for maximizing fundamental natural frequency32
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements32
An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities32
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method32
Simultaneous material and topology optimization of composite laminates32
Multi-scale identification of composite using modified constitutive relation error: Formulation and numerical study32
Editorial Board32
Lossy compression techniques supporting unsteady adjoint on 2D/3D unstructured grids32
Error analysis of Petrov-Galerkin immersed finite element methods32
Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton32
Data-driven identification of parametric governing equations of dynamical systems using the signed cumulative distribution transform31
Magnetostatic simulations with consideration of exterior domains using the scaled boundary finite element method31
Editorial Board31
Editorial Board31
Scalable uncertainty quantification for deep operator networks using randomized priors31
Peridynamic modeling of delayed fracture in electrodes during lithiation31
Editorial Board31
Unfitted Nitsche’s method for computing band structures of phononic crystals with periodic inclusions31
Mean zero artificial diffusion for stable finite element approximation of convection in cellular aggregate formation30
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain30
Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation30
DNN-MG: A hybrid neural network/finite element method with applications to 3D simulations of the Navier–Stokes equations30
Reverse shape compensation via a gradient-based moving particle optimization method30
Computational modelling of epithelial cell monolayers during infection with Listeria monocytogenes30
Material optimization to enhance delamination resistance of composite structures using viscous regularization30
Hidden physics model for parameter estimation of elastic wave equations30
Editorial Board30
Editorial Board30
Computational modeling of capillary perfusion and gas exchange in alveolar tissue29
A variance reduction strategy for numerical random homogenization based on the equivalent inclusion method29
Moment methods for the radiative transfer equation based on φ-diverg29
Efficient optimization-based quadrature for variational discretization of nonlocal problems29
A scaled wave finite element method for computing scalar wave radiation and scattering in exterior domains29
Towards validation of crack nucleation criteria from V-notches in quasi-brittle metallic alloys: Energetics or strength?29
An unsymmetric 8-node hexahedral solid-shell element based on ANS and incompatible concepts for thin shell analysis29
Deformation accommodating periodic computational domain for a uniform velocity gradient29
A Bézier curve fit to melt pool geometry for modeling additive manufacturing microstructures29
Multiple bifurcation paths visualized by a computational asymptotic stability theory29
A unified analytical expression of the tangent stiffness matrix of holonomic constraints29
MetaFEM: A generic FEM solver by meta-expressions29
An enhanced explicit time-marching procedure to analyse acoustic–elastodynamic coupled models29
Modeling of multi-phase, multi-fluid flows with applications to marine hydrokinetic turbines29
A kd-tree-accelerated hybrid data-driven/model-based approach for poroelasticity problems with multi-fidelity multi-physics data28
Peridynamic modeling of bonded-lap joints with viscoelastic adhesives in the presence of finite deformation28
A simplified continuous–discontinuous approach to fracture based on decoupled localizing gradient damage method28
A novel mesh regularization approach based on finite element distortion potentials: Application to material expansion processes with extreme volume change28
Error representation of the time-marching DPG scheme28
A spatio-temporal adaptive phase-field fracture method28
A machine-learning framework for peridynamic material models with physical constraints28
A computational framework for magnetically hard and soft viscoelastic magnetorheological elastomers28
A coupled virtual element-interface model for analysis of fracture propagation in polycrystalline composites28
An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator28
Towards elasto-plastic continuum-kinematics-inspired peridynamics28
Canonical and noncanonical Hamiltonian operator inference28
PGD reduced-order modeling for structural dynamics applications28
Vectorial surrogate modeling method based on moving Kriging model for system reliability analysis28
An efficient mixed finite element formulation for 3D strain gradient elasticity27
Physics-Informed Holomorphic Neural Networks (PIHNNs): Solving 2D linear elasticity problems27
Dynamic topology optimization for structures exhibiting frequency-dependent material properties with prescribed frequency forbidden band27
Variational Bayesian surrogate modelling with application to robust design optimisation27
A coupled SPH-SPIM solver for fluid-structure interaction with nonlinear deformation27
Directional filter combined with active learning for rare failure events27
A novel active learning method based on matrix-operation RBF model for high-dimensional reliability analysis27
Maximum a posteriori estimation for linear structural dynamics models using Bayesian optimization with rational polynomial chaos expansions27
Towards quantum computational mechanics27
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model27
Approach for multi-valued integer programming in multi-material topology optimization: Random discrete steepest descent (RDSD) algorithm27
Scalable computation of energy functions for nonlinear balanced truncation27
Parallel assembly of finite element matrices on multicore computers27
A quadrilateral plate-type finite element to model stress singularities in no-tension materials27
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture27
A quasi-meshfree method for nonlinear solid mechanics: Separating domain discretization from solution discretization27
Reliability-based composite pressure vessel design optimization with cure-induced stresses and spatial material variability27
Fusing nonlinear solvers with transformers for accelerating the solution of parametric transient problems27
Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler–Bernoulli beam27
A variational multiscale method derived from an adaptive stabilized conforming finite element method via residual minimization on dual norms26
A functional global sensitivity measure and efficient reliability sensitivity analysis with respect to statistical parameters26
Physics-Based Self-Learning Recurrent Neural Network enhanced time integration scheme for computing viscoplastic structural finite element response26
Topology optimization of phononic-like structures using experimental material interpolation model for additive manufactured lattice infills26
Topology optimization of compliant mechanisms under transient thermal conditions26
Porous structure optimization via non-uniform thermal diffusion26
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state26
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