Computer Methods in Applied Mechanics and Engineering

Papers
(The TQCC of Computer Methods in Applied Mechanics and Engineering is 16. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics814
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries771
Risk-averse design of tall buildings for uncertain wind conditions462
Finite deformation analysis of flexoelectric shells395
Space–time computational flow analysis: Unconventional methods and first-ever solutions336
Weighted quadrature for hierarchical B-splines295
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface262
A data-driven modeling framework for nonlinear static aeroelasticity260
Physics- and data-driven active learning of neural network representations for free energy density functions of materials from statistical mechanics240
Data-driven elasto-(visco)-plasticity involving hidden state variables213
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples210
A spline-based stress function approach for the principle of minimum complementary energy202
Editorial Board195
Creep crack propagation using phase-field model within a multi-patch isogeometric framework194
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model189
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds182
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance170
Multiscale design of nonlinear materials using reduced-order modeling166
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements165
Implicit neural differentiable model for spatiotemporal dynamics150
A robust and efficient adaptive NURBS contact enrichment technique149
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems140
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework138
Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models138
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis129
Porous structure optimization via non-uniform thermal diffusion128
The isogeometric MITC shell in geometric nonlinear analysis128
Physics-informed machine learning in asymptotic homogenization of elliptic equations123
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization121
A quadrilateral plate-type finite element to model stress singularities in no-tension materials116
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks113
Multi-scale design of composite material structures for maximizing fundamental natural frequency109
Variational Bayesian surrogate modelling with application to robust design optimisation108
Effect of non-uniform void distributions on the yielding of metals107
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state105
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media101
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization100
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process98
Concurrent topology optimization of shells with self-supporting infills for additive manufacturing96
An isogeometric phase–field based shape and topology optimization for flexoelectric structures96
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain96
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features94
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues93
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology92
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations91
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods91
An extended ordinary state-based peridynamics for non-spherical horizons89
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change89
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics89
Multi-objective design optimization of 3D micro-architected implants89
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries89
Theory and implementation of inelastic Constitutive Artificial Neural Networks85
PGD reduced-order modeling for structural dynamics applications85
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework83
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis83
A novel data-driven surrogate approach for fast evaluation of the dynamics of soft ellipsoidal micro-particles in dilute viscous flow82
A parametric level set method for the optimization of composite structures with curvilinear fibers81
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies80
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties80
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling79
MetaFEM: A generic FEM solver by meta-expressions78
Stabilized LSMPS method for complex free-surface flow simulation78
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data76
A modified rate-dependent peridynamic model with rotation effect for dynamic mechanical behavior of ceramic materials75
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture72
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity72
Weak-form latent space dynamics identification71
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs71
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization70
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses69
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis69
A Green’s function fast multipole method for computation of micromechanical fields in heterogeneous materials67
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model67
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements67
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics66
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework66
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites65
The eXtended virtual element method for elliptic problems with weakly singular solutions64
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation64
Editorial Board64
U-splines: Splines over unstructured meshes64
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations63
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation62
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions62
A locally conservative multiscale method for stochastic highly heterogeneous flow62
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate61
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370461
Gradient and uncertainty enhanced sequential sampling for global fit60
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process60
Hybridized augmented Lagrangian methods for contact problems60
High-order spline upwind for space–time Isogeometric Analysis60
Robust trimmed multipatch IGA with singular maps60
Mesh free Hamiltonian method for solid dynamics simulation60
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations60
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes59
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity59
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries59
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition58
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)58
Parameter estimation with maximal updated densities58
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems57
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures57
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling57
Variational sequential optimal experimental design using reinforcement learning56
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials56
Dimension extending technique for constitutive integration of plasticity with hardening–softening behaviors56
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint56
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response55
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model55
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation55
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling55
Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method55
Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis55
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models55
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques55
Data-driven reduced-order models for port-Hamiltonian systems with operator inference54
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method54
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation54
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models54
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements53
Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time53
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception53
Difference between smoothed particle hydrodynamics and moving particle semi-implicit operators53
A global–local meta-modelling technique for model updating53
Self-support topology optimization considering distortion for metal additive manufacturing52
A parametric non-linear non-intrusive reduce-order model using deep transfer learning52
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure52
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review52
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures52
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach51
Reduced order models for Lagrangian hydrodynamics51
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs50
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows50
Topology optimization of multi-material structures considering a piecewise interface stress constraint50
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method49
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid49
A surrogate model for topology optimisation of elastic structures via parametric autoencoders48
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity48
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation48
A partitioned flexibility (PartFlex) method for structural analysis48
Predicting temperature-dependent failure and transformation zones in 2D silica glass through quasistatic Gaussian phase packets48
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation48
Surrogate construction via weight parameterization of residual neural networks48
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems47
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 47
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators47
Variational Bayesian optimal experimental design with normalizing flows47
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation47
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials47
An implicit Material Point Method for micropolar solids undergoing large deformations47
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation47
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure46
Interval deep neural networks with damage function for credible structural identification46
Minimal mass design of clustered tensegrity structures46
Extended physics-informed extreme learning machine for linear elastic fracture mechanics45
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores45
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition45
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy45
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process45
A complete Physics-Informed Neural Network-based framework for structural topology optimization45
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review45
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes44
Reduced Basis modelling of turbulence with well-developed inertial range44
Editorial Board44
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media44
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations44
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation44
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics44
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials44
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method44
Stochastic multi-fidelity surrogate modeling of dendritic crystal growth43
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach43
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification43
Gradient jump penalty stabilisation of spectral/hp42
Editorial Board42
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis42
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials42
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage42
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models42
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks42
Reprint of: A forward–backward greedy approach for sparse multiscale learning41
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization41
Enforcing mesh quality constraints in shape optimization with a gradient projection method41
Phase-field modeling of hydrogen-promoted fracture: Natural incorporation of hydrostatic stress dependencies via a chemical potential-based variational formulation41
Quantum neural network-assisted topology optimization: Concept and implementation with parameterized quantum circuits41
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity41
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows41
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization41
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling41
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid40
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test40
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure40
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression40
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET40
Learning high-dimensional parametric maps via reduced basis adaptive residual networks40
A multi-material topology optimization method based on implicit topology description functions40
A virtual element method for the Biot-Brinkman equations using Nitsche’s technique40
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization40
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density40
A novel Godunov-type scheme for free-surface flows with artificial compressibility40
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation40
A spectral surrogate model for stochastic simulators computed from trajectory samples40
Machine learning-assisted design of composite EM collimators considering additive manufacturing constraints40
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method40
Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity40
Neural cellular automata for solidification microstructure modelling40
A phase-field cohesive fracture model free from the length scale constraints40
Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method39
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm39
A robust algorithm for rate-independent crystal plasticity39
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing39
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers39
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion39
Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials39
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures39
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set39
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method39
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression39
Isogeometric algorithm for one-step inverse forming of sheet metal39
Consistent pressure formulation of the Stokes problem and approximation thereof38
A stochastic finite element scheme for solving partial differential equations defined on random domains38
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets38
Intrepid MCMC: Metropolis-Hastings with exploration38
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs38
Fast multipole boundary element method for the acoustic analysis of finite periodic structures38
A general ordinary state-based peridynamic formulation for anisotropic materials38
Finite strain topology optimization with nonlinear stability constraints38
Conditions for minimum stiffness of proportionally loaded structures38
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems38
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers37
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment37
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface37
Transient sensitivity analysis and topology optimization of particle suspended in transient laminar fluid37
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials37
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS37
Effective linear wave motion in periodic origami structures37
Derivable Skeletons in Topology Optimization for Length Scale Control37
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces37
Efficient multi-level hp-finite elements in arbitrary dimensions36
An extreme learning machine-based method for computational PDEs in higher dimensions36
Machine learning-accelerated peridynamics model for mechanical and failure behaviors of materials36
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading36
A subdivision-stabilized B-spline mixed material point method36
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes36
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks36
An isogeometric assumed natural strain method to alleviate locking in solid beams36
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data36
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks36
Projection-based model order reduction of embedded boundary models for CFD and nonlinear FSI36
S-PINN: Stabilized physics-informed neural networks for alleviating barriers between multi-level co-optimization36
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