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 2022-06-01 to 2026-06-01.)
ArticleCitations
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics511
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries249
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface248
Data-driven elasto-(visco)-plasticity involving hidden state variables223
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain203
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data181
Multiscale design of nonlinear materials using reduced-order modeling177
Finite deformation analysis of flexoelectric shells170
Editorial Board165
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks164
Physics- and data-driven active learning of neural network representations for free energy density functions of materials from statistical mechanics154
The eXtended virtual element method for elliptic problems with weakly singular solutions153
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization146
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics145
A spline-based stress function approach for the principle of minimum complementary energy145
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues144
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations144
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media143
Porous structure optimization via non-uniform thermal diffusion142
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state138
Weighted quadrature for hierarchical B-splines137
Creep crack propagation using phase-field model within a multi-patch isogeometric framework130
Effect of non-uniform void distributions on the yielding of metals129
U-splines: Splines over unstructured meshes129
A novel data-driven surrogate approach for fast evaluation of the dynamics of soft ellipsoidal micro-particles in dilute viscous flow120
A unified and high-efficiency approach to accurately simulating strength degradation and fatigue failure of metals and geomaterials with splines-renormalizing technique112
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements111
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features110
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance108
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements107
A Green’s function fast multipole method for computation of micromechanical fields in heterogeneous materials105
Multi-scale design of composite material structures for maximizing fundamental natural frequency104
Implicit neural differentiable model for spatiotemporal dynamics103
Variational Bayesian surrogate modelling with application to robust design optimisation102
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 rigidity102
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process99
An RBF-based method for computational electromagnetics with reduced numerical dispersion97
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis97
A P-DNS approach for weakly compressible turbulent flows93
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture93
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change92
A data-driven modeling framework for nonlinear static aeroelasticity91
Polynomial chaos vs kernel machine learning methods for uncertainty quantification: A comparative study and benchmarking with the hybrid PCE-GPR approach90
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization90
The isogeometric MITC shell in geometric nonlinear analysis89
Risk-averse design of tall buildings for uncertain wind conditions88
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis88
Physics-informed machine learning in asymptotic homogenization of elliptic equations86
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis81
PGD reduced-order modeling for structural dynamics applications81
Variational data-consistent assimilation80
Space-time finite element path-following for periodic solutions in nonlinear vibration problems80
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework80
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework77
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites77
A robust and efficient adaptive NURBS contact enrichment technique76
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries75
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model74
A unified multiscale framework for stress-Based topology optimization using local constraint enforcement74
Efficient Adjoint Petrov-Galerkin reduced order models for fluid flows governed by the semi-discrete incompressible Navier-Stokes equations74
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds72
Macro-element refinement schemes for THB-splines: Applications to Bézier projection and structure-preserving discretizations72
Configurational forces in the virtual element method with applications to cracks72
A quadrilateral plate-type finite element to model stress singularities in no-tension materials72
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics71
Weak-form latent space dynamics identification71
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 a71
An extended ordinary state-based peridynamics for non-spherical horizons71
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems70
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses70
Latent attention operator network with augmented representation for complex PDE systems in intricate geometries70
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework69
Space–time computational flow analysis: Unconventional methods and first-ever solutions69
Multi-objective design optimization of 3D micro-architected implants68
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology68
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples68
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization66
A complement to neural networks for anisotropic inelasticity at finite strains66
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods66
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling65
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies63
Theory and implementation of inelastic Constitutive Artificial Neural Networks63
Surrogate construction via weight parameterization of residual neural networks61
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model61
Editorial Board61
Towards robust surrogate models: Benchmarking machine learning approaches to expediting phase field simulations of brittle fracture61
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties61
A locally conservative multiscale method for stochastic highly heterogeneous flow60
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures60
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method59
Discontinuous Galerkin cohesive zone modeling of toughness-controlled failure58
Multi-physics-enhanced Bayesian inverse analysis: Information gain from additional fields57
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores57
A global–local meta-modelling technique for model updating56
A parametric non-linear non-intrusive reduce-order model using deep transfer learning56
Fourth-order isogeometric phase-field modeling of dynamic brittle fracture: Numerical study and comparison with second-order models56
Minimal mass design of clustered tensegrity structures56
Learning anisotropic hyperelasticity with an unsupervised symmetry-aware equilibrium-based neural network56
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review55
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response55
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media55
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach55
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation54
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques54
Self-support topology optimization considering distortion for metal additive manufacturing54
A partitioned flexibility (PartFlex) method for structural analysis53
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate53
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials53
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models53
Variational sequential optimal experimental design using reinforcement learning53
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models53
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations53
Predicting temperature-dependent failure and transformation zones in 2D silica glass through quasistatic Gaussian phase packets53
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators52
Rational-adaptive tip element with implicit enrichment for efficient crack modeling52
Robust topology optimization of continuum structures under material uncertainties using multifidelity Monte Carlo52
Extended physics-informed extreme learning machine for linear elastic fracture mechanics51
A complete Physics-Informed Neural Network-based framework for structural topology optimization51
A surrogate model for topology optimisation of elastic structures via parametric autoencoders51
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception51
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process51
A multiscale lattice Boltzmann model for simulating Stokes to pre-Darcy flow51
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint51
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model50
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries50
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation50
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation50
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions49
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures49
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation49
Variational Bayesian optimal experimental design with normalizing flows49
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements49
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process49
Mesh free Hamiltonian method for solid dynamics simulation49
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations49
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure48
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics48
Hybridized augmented Lagrangian methods for contact problems48
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure48
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid48
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity48
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems48
Robust trimmed multipatch IGA with singular maps47
Data-driven reduced-order models for port-Hamiltonian systems with operator inference47
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations47
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials47
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation47
An implicit Material Point Method for micropolar solids undergoing large deformations46
High-order spline upwind for space–time Isogeometric Analysis46
Parameter estimation with maximal updated densities46
A large deformation finite element analysis of SE(3)-based beams using dual algebra46
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition46
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370446
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling46
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 46
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes45
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity45
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review45
Topology optimization of multi-material structures considering a piecewise interface stress constraint45
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems45
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation45
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation45
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation45
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)45
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy45
Gradient and uncertainty enhanced sequential sampling for global fit45
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows44
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs44
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method44
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling44
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials44
A spectral surrogate model for stochastic simulators computed from trajectory samples43
Interval deep neural networks with damage function for credible structural identification43
Equal-order stabilized finite elements with nitsche for the stationary navier-Stokes problem with slip boundary conditions43
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface43
Effective linear wave motion in periodic origami structures43
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes43
A subdivision-stabilized B-spline mixed material point method43
Editorial Board43
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure43
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models43
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set42
Benchmarking and extending grid-based, meshfree, and physics-informed neural network methods for the generalized probability density evolution equation42
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes42
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces42
Bayesian neural networks with interpretable priors from Mercer kernels42
An extreme learning machine-based method for computational PDEs in higher dimensions42
Quantum neural network-assisted topology optimization: Concept and implementation with parameterized quantum circuits42
Derivable Skeletons in Topology Optimization for Length Scale Control42
A stochastic finite element scheme for solving partial differential equations defined on random domains42
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data42
Consistent pressure formulation of the Stokes problem and approximation thereof42
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation41
Multiphysics uncertainty decoupling methods for stochastic poroelastic analysis41
Editorial Board41
Reduced Basis modelling of turbulence with well-developed inertial range41
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity41
Surrogate-enhanced higher order eigenstrain-based reduced order homogenization for polycrystal plasticity40
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test40
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET40
Conditions for minimum stiffness of proportionally loaded structures40
Adaptive finite element phase-field simulation of dynamic brittle fracture40
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets40
Reprint of: A forward–backward greedy approach for sparse multiscale learning39
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading39
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density39
Intrepid MCMC: Metropolis-Hastings with exploration39
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures39
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm39
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems39
p-multigrid method for the discontinuous Galerkin discretization of elliptic problems with discontinuous coefficients39
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS39
Enforcing mesh quality constraints in shape optimization with a gradient projection method39
A virtual element method for the Biot-Brinkman equations using Nitsche’s technique39
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling38
Isogeometric algorithm for one-step inverse forming of sheet metal38
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method38
Efficient multi-level hp-finite elements in arbitrary dimensions38
Finite strain topology optimization with nonlinear stability constraints38
A continuous topology optimization framework using an explicit binarization constraint37
Dual-primal isogeometric tearing and interconnecting solvers for adaptively refined multi-patch configurations37
Isogeometric fluid-structure interaction using a mixed continuous/discontinuous Galerkin scheme37
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage37
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification37
Machine learning-assisted design of composite EM collimators considering additive manufacturing constraints37
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks37
Model order reduction for unbounded second-order vibroacoustic systems using infinite elements and Dirichlet-to-Neumann map37
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization37
A phase-field cohesive fracture model free from the length scale constraints37
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment37
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows37
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method37
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid37
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach36
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression36
A general ordinary state-based peridynamic formulation for anisotropic materials36
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs36
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers36
Learning high-dimensional parametric maps via reduced basis adaptive residual networks36
Efficient Bayesian inversion of hydraulic parameters for unsaturated soil slopes using a fine-tuned deep operator network36
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method36
A multi-material topology optimization method based on implicit topology description functions36
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers36
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization35
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation35
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation35
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion35
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing35
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks35
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