Computer Methods in Applied Mechanics and Engineering

Papers
(The TQCC of Computer Methods in Applied Mechanics and Engineering is 17. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics486
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries284
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface239
Data-driven elasto-(visco)-plasticity involving hidden state variables229
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process217
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain193
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data173
Multiscale design of nonlinear materials using reduced-order modeling171
Finite deformation analysis of flexoelectric shells168
Space–time computational flow analysis: Unconventional methods and first-ever solutions156
Variational Bayesian surrogate modelling with application to robust design optimisation155
Editorial Board152
A P-DNS approach for weakly compressible turbulent flows146
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples142
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks140
Physics- and data-driven active learning of neural network representations for free energy density functions of materials from statistical mechanics138
The eXtended virtual element method for elliptic problems with weakly singular solutions137
MetaFEM: A generic FEM solver by meta-expressions136
A spline-based stress function approach for the principle of minimum complementary energy136
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization136
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics135
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations132
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues127
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media127
Porous structure optimization via non-uniform thermal diffusion121
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state120
Weighted quadrature for hierarchical B-splines116
Creep crack propagation using phase-field model within a multi-patch isogeometric framework107
U-splines: Splines over unstructured meshes105
A novel data-driven surrogate approach for fast evaluation of the dynamics of soft ellipsoidal micro-particles in dilute viscous flow104
Effect of non-uniform void distributions on the yielding of metals104
A unified and high-efficiency approach to accurately simulating strength degradation and fatigue failure of metals and geomaterials with splines-renormalizing technique101
Multi-objective design optimization of 3D micro-architected implants101
Polynomial chaos vs kernel machine learning methods for uncertainty quantification: A comparative study and benchmarking with the hybrid PCE-GPR approach100
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies100
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses100
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods100
A data-driven modeling framework for nonlinear static aeroelasticity99
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features96
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements96
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance93
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements93
A Green’s function fast multipole method for computation of micromechanical fields in heterogeneous materials91
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization91
Multi-scale design of composite material structures for maximizing fundamental natural frequency89
The isogeometric MITC shell in geometric nonlinear analysis89
Towards robust surrogate models: Benchmarking machine learning approaches to expediting phase field simulations of brittle fracture88
Implicit neural differentiable model for spatiotemporal dynamics88
Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models86
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds86
A unified multiscale framework for stress-Based topology optimization using local constraint enforcement85
Efficient Adjoint Petrov-Galerkin reduced order models for fluid flows governed by the semi-discrete incompressible Navier-Stokes equations85
Macro-element refinement schemes for THB-splines: Applications to Bézier projection and structure-preserving discretizations82
A quadrilateral plate-type finite element to model stress singularities in no-tension materials81
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework80
A complement to neural networks for anisotropic inelasticity at finite strains77
Theory and implementation of inelastic Constitutive Artificial Neural Networks76
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems75
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis74
PGD reduced-order modeling for structural dynamics applications74
Space-time finite element path-following for periodic solutions in nonlinear vibration problems74
Variational data-consistent assimilation73
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework71
A robust and efficient adaptive NURBS contact enrichment technique71
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework71
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites71
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis70
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries70
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization70
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model70
Physics-informed machine learning in asymptotic homogenization of elliptic equations69
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity69
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties69
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture69
An extended ordinary state-based peridynamics for non-spherical horizons68
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis68
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics68
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model67
Weak-form latent space dynamics identification66
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology66
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling65
Risk-averse design of tall buildings for uncertain wind conditions65
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change64
Surrogate construction via weight parameterization of residual neural networks63
Dimension extending technique for constitutive integration of plasticity with hardening–softening behaviors63
Editorial Board63
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures62
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)61
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method60
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures60
A locally conservative multiscale method for stochastic highly heterogeneous flow60
Discontinuous Galerkin cohesive zone modeling of toughness-controlled failure60
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation60
Multi-physics-enhanced Bayesian inverse analysis: Information gain from additional fields59
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores58
Interval deep neural networks with damage function for credible structural identification57
Minimal mass design of clustered tensegrity structures57
A parametric non-linear non-intrusive reduce-order model using deep transfer learning57
Fourth-order isogeometric phase-field modeling of dynamic brittle fracture: Numerical study and comparison with second-order models55
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response55
A global–local meta-modelling technique for model updating55
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media54
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach54
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators54
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review54
Topology optimization of multi-material structures considering a piecewise interface stress constraint54
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques54
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation53
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation53
A partitioned flexibility (PartFlex) method for structural analysis52
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review52
Self-support topology optimization considering distortion for metal additive manufacturing52
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models51
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate51
Data-driven reduced-order models for port-Hamiltonian systems with operator inference51
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations51
Predicting temperature-dependent failure and transformation zones in 2D silica glass through quasistatic Gaussian phase packets51
Variational sequential optimal experimental design using reinforcement learning51
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations51
Mesh free Hamiltonian method for solid dynamics simulation51
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems51
Gradient and uncertainty enhanced sequential sampling for global fit51
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process50
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials50
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries49
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation49
Difference between smoothed particle hydrodynamics and moving particle semi-implicit operators49
Hybridized augmented Lagrangian methods for contact problems49
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 49
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370449
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations48
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes48
Robust trimmed multipatch IGA with singular maps48
High-order spline upwind for space–time Isogeometric Analysis48
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation48
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems48
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure48
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling48
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions48
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs48
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity47
A large deformation finite element analysis of SE(3)-based beams using dual algebra47
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials47
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation46
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition46
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes46
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows46
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure46
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements46
An implicit Material Point Method for micropolar solids undergoing large deformations46
Robust topology optimization of continuum structures under material uncertainties using multifidelity Monte Carlo46
Parameter estimation with maximal updated densities45
Extended physics-informed extreme learning machine for linear elastic fracture mechanics45
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics45
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception45
A multiscale lattice Boltzmann model for simulating Stokes to pre-Darcy flow45
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid45
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation45
Variational Bayesian optimal experimental design with normalizing flows45
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials44
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation44
A complete Physics-Informed Neural Network-based framework for structural topology optimization44
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint44
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model44
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models44
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method44
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy44
A surrogate model for topology optimisation of elastic structures via parametric autoencoders44
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling43
Effective linear wave motion in periodic origami structures43
Equal-order stabilized finite elements with nitsche for the stationary navier-Stokes problem with slip boundary conditions43
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity43
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process43
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models43
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure43
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis43
Editorial Board43
Rational-adaptive tip element with implicit enrichment for efficient crack modeling43
Reduced Basis modelling of turbulence with well-developed inertial range43
Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method42
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity42
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems42
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage42
Editorial Board42
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets42
Multiphysics uncertainty decoupling methods for stochastic poroelastic analysis42
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation42
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs42
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density41
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm41
A stochastic finite element scheme for solving partial differential equations defined on random domains41
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS41
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading41
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures41
Isogeometric algorithm for one-step inverse forming of sheet metal41
Enforcing mesh quality constraints in shape optimization with a gradient projection method41
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing41
Adaptive finite element phase-field simulation of dynamic brittle fracture41
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid40
Surrogate-enhanced higher order eigenstrain-based reduced order homogenization for polycrystal plasticity40
Benchmarking and extending grid-based, meshfree, and physics-informed neural network methods for the generalized probability density evolution equation40
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method40
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers39
Conditions for minimum stiffness of proportionally loaded structures39
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization39
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes39
Quantum neural network-assisted topology optimization: Concept and implementation with parameterized quantum circuits39
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test39
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set39
A virtual element method for the Biot-Brinkman equations using Nitsche’s technique39
A subdivision-stabilized B-spline mixed material point method39
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET39
Reprint of: A forward–backward greedy approach for sparse multiscale learning39
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization39
Intrepid MCMC: Metropolis-Hastings with exploration39
A multi-material topology optimization method based on implicit topology description functions38
Learning high-dimensional parametric maps via reduced basis adaptive residual networks38
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data38
Efficient multi-level hp-finite elements in arbitrary dimensions38
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks38
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion37
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method37
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials37
An extreme learning machine-based method for computational PDEs in higher dimensions37
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization37
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling37
Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity37
Finite strain topology optimization with nonlinear stability constraints37
Machine learning-assisted design of composite EM collimators considering additive manufacturing constraints36
A continuous topology optimization framework using an explicit binarization constraint36
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression36
Neural cellular automata for solidification microstructure modelling36
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows36
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment36
Dual-primal isogeometric tearing and interconnecting solvers for adaptively refined multi-patch configurations36
A phase-field cohesive fracture model free from the length scale constraints36
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression36
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials36
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method36
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers36
Phase-field modeling of hydrogen-promoted fracture: Natural incorporation of hydrostatic stress dependencies via a chemical potential-based variational formulation36
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation36
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach36
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks36
A spectral surrogate model for stochastic simulators computed from trajectory samples35
Linearized localized orthogonal decomposition for quasilinear nonmonotone elliptic PDE35
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface35
A general ordinary state-based peridynamic formulation for anisotropic materials35
Consistent pressure formulation of the Stokes problem and approximation thereof35
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation35
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