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 2021-09-01 to 2025-09-01.)
ArticleCitations
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface753
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics721
Corrigendum to “Manufacturable insight into modelling and design considerations in fibre-steered composite laminates: State of the art and perspective” [Comput. Methods Appl. Mech. Engrg. 379 (2021) 1379
Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves354
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements306
Analysis, improvement and limits of the multiscale Latin method282
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries250
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method238
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain210
Weighted quadrature for hierarchical B-splines196
A data-driven modeling framework for nonlinear static aeroelasticity183
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries179
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model171
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies168
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework163
Variational Bayesian surrogate modelling with application to robust design optimisation162
PGD reduced-order modeling for structural dynamics applications160
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change152
Data-driven elasto-(visco)-plasticity involving hidden state variables150
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems150
Editorial Board142
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data142
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods134
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations130
Creep crack propagation using phase-field model within a multi-patch isogeometric framework126
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance126
Risk-averse design of tall buildings for uncertain wind conditions126
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics119
Mapped phase field method for brittle fracture115
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features115
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization112
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements110
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state109
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds107
An extended ordinary state-based peridynamics for non-spherical horizons106
Space–time computational flow analysis: Unconventional methods and first-ever solutions103
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues99
MetaFEM: A generic FEM solver by meta-expressions97
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media97
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples96
A parametric level set method for the optimization of composite structures with curvilinear fibers92
Porous structure optimization via non-uniform thermal diffusion92
Concurrent topology optimization of shells with self-supporting infills for additive manufacturing91
Design of graded lattice sandwich structures by multiscale topology optimization91
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling87
Multiscale design of nonlinear materials using reduced-order modeling87
Stabilized LSMPS method for complex free-surface flow simulation86
Multi-scale design of composite material structures for maximizing fundamental natural frequency84
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses83
Machine learning augmented reduced-order models for FFR-prediction83
A quadrilateral plate-type finite element to model stress singularities in no-tension materials82
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties81
The eXtended virtual element method for elliptic problems with weakly singular solutions80
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization79
U-splines: Splines over unstructured meshes77
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework76
A modified rate-dependent peridynamic model with rotation effect for dynamic mechanical behavior of ceramic materials75
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics75
Weak-form latent space dynamics identification72
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model71
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations71
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs71
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis70
Effect of non-uniform void distributions on the yielding of metals70
Theory and implementation of inelastic Constitutive Artificial Neural Networks69
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks68
An isogeometric phase–field based shape and topology optimization for flexoelectric structures68
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites68
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis67
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology65
Physics-informed machine learning in asymptotic homogenization of elliptic equations65
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis64
Multi-objective design optimization of 3D micro-architected implants63
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture62
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework61
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes60
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation60
Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis60
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions60
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process59
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response59
A locally conservative multiscale method for stochastic highly heterogeneous flow59
Surrogate construction via weight parameterization of residual neural networks58
Gradient and uncertainty enhanced sequential sampling for global fit58
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation58
A parametric non-linear non-intrusive reduce-order model using deep transfer learning58
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate58
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint57
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows57
Extended physics-informed extreme learning machine for linear elastic fracture mechanics57
A virtual model architecture for engineering structures with Twin Extended Support Vector Regression (T-X-SVR) method57
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes57
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs57
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures57
Dynamic crack face contact and propagation simulation based on the scaled boundary finite element method56
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media56
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation56
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review56
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations56
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process56
Variational Bayesian optimal experimental design with normalizing flows56
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations55
A complete Physics-Informed Neural Network-based framework for structural topology optimization55
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370455
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity54
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling54
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models54
PeriPy - A high performance OpenCL peridynamics package53
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation52
A partitioned flexibility (PartFlex) method for structural analysis52
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception52
Self-support topology optimization considering distortion for metal additive manufacturing51
Dimension extending technique for constitutive integration of plasticity with hardening–softening behaviors51
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model51
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials50
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores50
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models50
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach49
Mesh free Hamiltonian method for solid dynamics simulation49
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 49
An implicit Material Point Method for micropolar solids undergoing large deformations49
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries49
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques49
High-order spline upwind for space–time Isogeometric Analysis49
Editorial Board48
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations48
Parameter estimation with maximal updated densities48
Data-driven reduced-order models for port-Hamiltonian systems with operator inference48
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators48
Robust trimmed multipatch IGA with singular maps48
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation48
A global–local meta-modelling technique for model updating48
Variational sequential optimal experimental design using reinforcement learning48
Difference between smoothed particle hydrodynamics and moving particle semi-implicit operators47
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation47
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid47
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials46
Bayesian learning of orthogonal embeddings for multi-fidelity Gaussian Processes46
Learning nonlocal constitutive models with neural networks46
Reduced order models for Lagrangian hydrodynamics46
Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method46
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements46
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures45
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition45
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems45
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity45
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics45
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems45
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials45
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure45
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation45
Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time44
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition44
Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory44
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation44
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review44
Reduced-order methods for dynamic problems in topology optimization: A comparative study43
Topology optimization of multi-material structures considering a piecewise interface stress constraint43
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy43
Minimal mass design of clustered tensegrity structures43
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method42
Stochastic multi-fidelity surrogate modeling of dendritic crystal growth42
Editorial Board42
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks42
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models41
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers41
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data41
Learning high-dimensional parametric maps via reduced basis adaptive residual networks41
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation41
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling41
Variational updates for general thermo–chemo–mechanical processes of inelastic solids41
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes41
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method41
Efficient multi-level hp-finite elements in arbitrary dimensions41
Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems40
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density40
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization40
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows40
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification40
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion40
Editorial Board40
Reduced Basis modelling of turbulence with well-developed inertial range40
Isogeometric algorithm for one-step inverse forming of sheet metal40
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test40
Reprint of: A forward–backward greedy approach for sparse multiscale learning40
Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics40
A novel Godunov-type scheme for free-surface flows with artificial compressibility39
A probabilistic finite element method based on random meshes: A posteriori error estimators and Bayesian inverse problems39
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET39
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid38
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization38
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures38
A spectral surrogate model for stochastic simulators computed from trajectory samples38
A shock-capturing scheme with a novel limiter for compressible flows solved by smoothed particle hydrodynamics38
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces38
Transient sensitivity analysis and topology optimization of particle suspended in transient laminar fluid38
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading38
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis38
A multi-material topology optimization method based on implicit topology description functions38
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach38
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method38
Finite strain topology optimization with nonlinear stability constraints37
Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method37
Fast multipole boundary element method for the acoustic analysis of finite periodic structures37
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment37
A stochastic finite element scheme for solving partial differential equations defined on random domains37
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure37
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials37
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials37
Derivable Skeletons in Topology Optimization for Length Scale Control37
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing37
Gradient jump penalty stabilisation of spectral/hp37
Modeling and simulation of vascular tumors embedded in evolving capillary networks37
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems37
A general ordinary state-based peridynamic formulation for anisotropic materials37
A subdivision-stabilized B-spline mixed material point method37
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization36
Effective linear wave motion in periodic origami structures36
Neural cellular automata for solidification microstructure modelling36
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets36
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation36
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs36
Conditions for minimum stiffness of proportionally loaded structures36
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set36
A computationally efficient physiologically comprehensive 3D–0D closed-loop model of the heart and circulation36
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface36
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS35
Modeling granular material dynamics and its two-way coupling with moving solid bodies using a continuum representation and the SPH method35
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity35
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes35
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks35
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm35
Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials35
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers35
A robust algorithm for rate-independent crystal plasticity35
Data-driven topology optimization of spinodoid metamaterials with seamlessly tunable anisotropy35
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression35
An extreme learning machine-based method for computational PDEs in higher dimensions35
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation34
Projection-based model order reduction of embedded boundary models for CFD and nonlinear FSI34
Numerical analysis of non-local calculus on finite weighted graphs, with application to reduced-order modeling of dynamical systems34
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression34
Nodal finite element approximation of peridynamics34
Stabilized isogeometric formulation of the Stokes problem on overlapping patches34
Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity34
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks34
A robust and accurate adaptive approximation method for a diffuse-interface model of binary-fluid flows34
Editorial Board34
Multiscale topology optimization of architected fiber reinforced composites considering manufacturability33
Development and validation of an offline multiscale topology optimization framework using interpolated constraint functions33
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