Computer Methods in Applied Mechanics and Engineering

Papers
(The median citation count of Computer Methods in Applied Mechanics and Engineering is 7. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-07-01 to 2026-07-01.)
ArticleCitations
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics538
Data-driven elasto-(visco)-plasticity involving hidden state variables274
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain252
Multiscale design of nonlinear materials using reduced-order modeling232
Editorial Board216
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization184
The eXtended virtual element method for elliptic problems with weakly singular solutions184
A spline-based stress function approach for the principle of minimum complementary energy183
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations177
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics177
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media174
Porous structure optimization via non-uniform thermal diffusion167
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state162
Weighted quadrature for hierarchical B-splines157
Creep crack propagation using phase-field model within a multi-patch isogeometric framework153
Effect of non-uniform void distributions on the yielding of metals151
A unified and high-efficiency approach to accurately simulating strength degradation and fatigue failure of metals and geomaterials with splines-renormalizing technique148
A novel data-driven surrogate approach for fast evaluation of the dynamics of soft ellipsoidal micro-particles in dilute viscous flow148
Risk-averse design of tall buildings for uncertain wind conditions147
Physics-informed machine learning in asymptotic homogenization of elliptic equations145
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework144
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model142
A phase-field model to simulate membrane remodeling and topology changes induced by wetting droplets139
Efficient Adjoint Petrov-Galerkin reduced order models for fluid flows governed by the semi-discrete incompressible Navier-Stokes equations133
A unified multiscale framework for stress-Based topology optimization using local constraint enforcement123
Configurational forces in the virtual element method with applications to cracks120
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds116
An extended ordinary state-based peridynamics for non-spherical horizons115
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics113
Weak-form latent space dynamics identification111
Adaptive mesh h(p)-refinement of a discontinuous Bubnov-Galerkin isogeometric analysis spatial discretisation of the first-order form of the neutron transport equation with goal-based error measures a110
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems110
Latent attention operator network with augmented representation for complex PDE systems in intricate geometries106
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements105
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements104
Multi-scale design of composite material structures for maximizing fundamental natural frequency103
Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models102
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity98
Variational Bayesian surrogate modelling with application to robust design optimisation98
An RBF-based method for computational electromagnetics with reduced numerical dispersion96
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process96
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change95
Polynomial chaos vs kernel machine learning methods for uncertainty quantification: A comparative study and benchmarking with the hybrid PCE-GPR approach94
A data-driven modeling framework for nonlinear static aeroelasticity94
The isogeometric MITC shell in geometric nonlinear analysis92
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis91
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis90
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples90
A quadrilateral plate-type finite element to model stress singularities in no-tension materials88
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework87
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries86
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance85
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies82
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties81
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites80
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data80
A Green’s function fast multipole method for computation of micromechanical fields in heterogeneous materials79
Towards robust surrogate models: Benchmarking machine learning approaches to expediting phase field simulations of brittle fracture79
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization78
Space–time computational flow analysis: Unconventional methods and first-ever solutions77
A robust and efficient adaptive NURBS contact enrichment technique77
Implicit neural differentiable model for spatiotemporal dynamics76
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries75
A complement to neural networks for anisotropic inelasticity at finite strains75
PGD reduced-order modeling for structural dynamics applications75
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks74
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses73
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling73
Finite deformation analysis of flexoelectric shells73
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods72
Space-time finite element path-following for periodic solutions in nonlinear vibration problems72
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture72
Variational data-consistent assimilation72
Theory and implementation of inelastic Constitutive Artificial Neural Networks71
U-splines: Splines over unstructured meshes71
Macro-element refinement schemes for THB-splines: Applications to Bézier projection and structure-preserving discretizations71
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework71
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features70
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis69
Physics- and data-driven active learning of neural network representations for free energy density functions of materials from statistical mechanics68
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology68
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model67
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization67
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface67
A P-DNS approach for weakly compressible turbulent flows64
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues64
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures62
Surrogate construction via weight parameterization of residual neural networks62
A locally conservative multiscale method for stochastic highly heterogeneous flow62
Editorial Board62
Preconditioning techniques for Hybridizable discontinuous Galerkin discretizations on GPU architectures61
Discontinuous Galerkin cohesive zone modeling of toughness-controlled failure61
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores60
Multi-physics-enhanced Bayesian inverse analysis: Information gain from additional fields60
Minimal mass design of clustered tensegrity structures60
Learning anisotropic hyperelasticity with an unsupervised symmetry-aware equilibrium-based neural network59
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach58
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response58
Fourth-order isogeometric phase-field modeling of dynamic brittle fracture: Numerical study and comparison with second-order models58
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media58
A partitioned flexibility (PartFlex) method for structural analysis58
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques58
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation58
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate56
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations56
Predicting temperature-dependent failure and transformation zones in 2D silica glass through quasistatic Gaussian phase packets56
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models56
Rational-adaptive tip element with implicit enrichment for efficient crack modeling55
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception55
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models55
A multiscale lattice Boltzmann model for simulating Stokes to pre-Darcy flow55
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process54
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions54
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process54
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation54
Variational Bayesian optimal experimental design with normalizing flows54
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements53
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity53
Mesh free Hamiltonian method for solid dynamics simulation53
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations53
High-order spline upwind for space–time Isogeometric Analysis52
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics52
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems52
Hybridized augmented Lagrangian methods for contact problems52
Robust trimmed multipatch IGA with singular maps52
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation52
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 51
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes51
An implicit Material Point Method for micropolar solids undergoing large deformations51
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370451
A large deformation finite element analysis of SE(3)-based beams using dual algebra51
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity50
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation50
A surrogate model for topology optimisation of elastic structures via parametric autoencoders50
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review50
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials50
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition50
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations50
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation50
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint50
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation49
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems49
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure49
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes49
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation49
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure49
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures49
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)49
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries49
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling48
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows48
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials48
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators48
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials48
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy48
Robust topology optimization of continuum structures under material uncertainties using multifidelity Monte Carlo48
A parametric non-linear non-intrusive reduce-order model using deep transfer learning48
Topology optimization of multi-material structures considering a piecewise interface stress constraint48
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method48
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method47
Data-driven reduced-order models for port-Hamiltonian systems with operator inference47
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review47
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling47
Variational sequential optimal experimental design using reinforcement learning47
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs46
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid46
A complete Physics-Informed Neural Network-based framework for structural topology optimization46
Self-support topology optimization considering distortion for metal additive manufacturing46
Parameter estimation with maximal updated densities46
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation46
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model46
Editorial Board45
A subdivision-stabilized B-spline mixed material point method45
Interval deep neural networks with damage function for credible structural identification45
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface45
Effective linear wave motion in periodic origami structures45
A global–local meta-modelling technique for model updating45
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure45
Gradient and uncertainty enhanced sequential sampling for global fit45
Extended physics-informed extreme learning machine for linear elastic fracture mechanics45
Consistent pressure formulation of the Stokes problem and approximation thereof44
A stochastic finite element scheme for solving partial differential equations defined on random domains44
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set44
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes44
Reduced Basis modelling of turbulence with well-developed inertial range44
Bayesian neural networks with interpretable priors from Mercer kernels44
Editorial Board43
Adaptive finite element phase-field simulation of dynamic brittle fracture43
Reprint of: A forward–backward greedy approach for sparse multiscale learning43
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity43
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test43
Conditions for minimum stiffness of proportionally loaded structures43
Multiphysics uncertainty decoupling methods for stochastic poroelastic analysis43
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET43
p-multigrid method for the discontinuous Galerkin discretization of elliptic problems with discontinuous coefficients43
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density42
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment42
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm42
Intrepid MCMC: Metropolis-Hastings with exploration42
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading42
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method42
Enforcing mesh quality constraints in shape optimization with a gradient projection method42
Dual-primal isogeometric tearing and interconnecting solvers for adaptively refined multi-patch configurations42
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling42
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks41
Machine learning-assisted design of composite EM collimators considering additive manufacturing constraints41
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows41
Surrogate-enhanced higher order eigenstrain-based reduced order homogenization for polycrystal plasticity40
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage40
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS40
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization40
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization40
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification39
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach39
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers39
Quantum neural network-assisted topology optimization: Concept and implementation with parameterized quantum circuits39
A continuous topology optimization framework using an explicit binarization constraint39
Learning high-dimensional parametric maps via reduced basis adaptive residual networks39
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs39
A multi-material topology optimization method based on implicit topology description functions39
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid39
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers39
A general ordinary state-based peridynamic formulation for anisotropic materials39
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis39
A spectral surrogate model for stochastic simulators computed from trajectory samples38
An extreme learning machine-based method for computational PDEs in higher dimensions38
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion38
Isogeometric algorithm for one-step inverse forming of sheet metal38
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression38
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials38
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method38
A phase-field cohesive fracture model free from the length scale constraints38
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing38
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization38
Efficient Bayesian inversion of hydraulic parameters for unsaturated soil slopes using a fine-tuned deep operator network38
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces38
Phase-field modeling of hydrogen-promoted fracture: Natural incorporation of hydrostatic stress dependencies via a chemical potential-based variational formulation38
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation37
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets37
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials37
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression37
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models37
Equal-order stabilized finite elements with nitsche for the stationary navier-Stokes problem with slip boundary conditions37
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems37
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures37
Benchmarking and extending grid-based, meshfree, and physics-informed neural network methods for the generalized probability density evolution equation37
Finite strain topology optimization with nonlinear stability constraints37
Efficient multi-level hp-finite elements in arbitrary dimensions37
Neural cellular automata for solidification microstructure modelling37
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method37
0.14378499984741