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 2021-11-01 to 2025-11-01.)
ArticleCitations
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity784
The eXtended virtual element method for elliptic problems with weakly singular solutions752
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics418
A data-driven modeling framework for nonlinear static aeroelasticity356
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries307
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization273
Physics-informed machine learning in asymptotic homogenization of elliptic equations250
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features235
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain221
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks194
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements192
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework186
Mapped phase field method for brittle fracture179
Porous structure optimization via non-uniform thermal diffusion177
Space–time computational flow analysis: Unconventional methods and first-ever solutions176
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling172
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis167
Variational Bayesian surrogate modelling with application to robust design optimisation156
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance152
U-splines: Splines over unstructured meshes145
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites141
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state138
Multiscale design of nonlinear materials using reduced-order modeling135
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process134
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods128
MetaFEM: A generic FEM solver by meta-expressions125
Implicit neural differentiable model for spatiotemporal dynamics124
A robust and efficient adaptive NURBS contact enrichment technique123
Weighted quadrature for hierarchical B-splines118
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis117
Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves114
A modified rate-dependent peridynamic model with rotation effect for dynamic mechanical behavior of ceramic materials110
An extended ordinary state-based peridynamics for non-spherical horizons107
Data-driven elasto-(visco)-plasticity involving hidden state variables106
PGD reduced-order modeling for structural dynamics applications102
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface100
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements99
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology96
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations95
Concurrent topology optimization of shells with self-supporting infills for additive manufacturing95
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues92
Theory and implementation of inelastic Constitutive Artificial Neural Networks92
Editorial Board90
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations89
Creep crack propagation using phase-field model within a multi-patch isogeometric framework88
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model87
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media86
An isogeometric phase–field based shape and topology optimization for flexoelectric structures85
A parametric level set method for the optimization of composite structures with curvilinear fibers83
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework83
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis82
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization81
Multi-scale design of composite material structures for maximizing fundamental natural frequency81
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change81
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies80
A quadrilateral plate-type finite element to model stress singularities in no-tension materials78
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds76
Weak-form latent space dynamics identification76
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method75
Risk-averse design of tall buildings for uncertain wind conditions75
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries74
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics73
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization72
Stabilized LSMPS method for complex free-surface flow simulation71
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties70
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems69
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses68
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework66
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture66
Multi-objective design optimization of 3D micro-architected implants65
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples65
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics64
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model64
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs64
Effect of non-uniform void distributions on the yielding of metals62
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models62
Editorial Board62
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data62
Data-driven reduced-order models for port-Hamiltonian systems with operator inference62
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures62
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation62
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)61
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations61
Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time60
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint60
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling60
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation60
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems60
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions60
A locally conservative multiscale method for stochastic highly heterogeneous flow59
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate59
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370459
Gradient and uncertainty enhanced sequential sampling for global fit59
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception58
Difference between smoothed particle hydrodynamics and moving particle semi-implicit operators58
Parameter estimation with maximal updated densities58
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations58
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 57
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques57
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials57
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method57
Robust trimmed multipatch IGA with singular maps57
Mesh free Hamiltonian method for solid dynamics simulation57
Hybridized augmented Lagrangian methods for contact problems56
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method56
A partitioned flexibility (PartFlex) method for structural analysis55
Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis54
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach54
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process54
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes54
Dimension extending technique for constitutive integration of plasticity with hardening–softening behaviors54
High-order spline upwind for space–time Isogeometric Analysis54
Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method54
Interval deep neural networks with damage function for credible structural identification53
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation53
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition53
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs53
Minimal mass design of clustered tensegrity structures53
Variational sequential optimal experimental design using reinforcement learning52
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures52
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics52
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores52
PeriPy - A high performance OpenCL peridynamics package52
Surrogate construction via weight parameterization of residual neural networks52
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model51
A virtual model architecture for engineering structures with Twin Extended Support Vector Regression (T-X-SVR) method51
Bayesian learning of orthogonal embeddings for multi-fidelity Gaussian Processes51
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials51
A parametric non-linear non-intrusive reduce-order model using deep transfer learning50
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review50
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process50
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation50
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation50
Self-support topology optimization considering distortion for metal additive manufacturing50
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity50
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models49
An implicit Material Point Method for micropolar solids undergoing large deformations49
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid49
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media49
Extended physics-informed extreme learning machine for linear elastic fracture mechanics48
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response48
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation48
A global–local meta-modelling technique for model updating48
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators48
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure47
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes47
Variational Bayesian optimal experimental design with normalizing flows47
Reduced order models for Lagrangian hydrodynamics47
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements47
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries47
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy47
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation47
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity46
Reduced-order methods for dynamic problems in topology optimization: A comparative study46
Dynamic crack face contact and propagation simulation based on the scaled boundary finite element method46
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows46
A complete Physics-Informed Neural Network-based framework for structural topology optimization46
Topology optimization of multi-material structures considering a piecewise interface stress constraint45
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling45
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials45
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems44
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition44
Editorial Board44
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations44
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review44
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure44
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation44
Reduced Basis modelling of turbulence with well-developed inertial range43
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers43
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis43
Conditions for minimum stiffness of proportionally loaded structures43
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials43
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation42
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET42
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling42
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test42
Variational updates for general thermo–chemo–mechanical processes of inelastic solids42
Efficient multi-level hp-finite elements in arbitrary dimensions42
Stochastic multi-fidelity surrogate modeling of dendritic crystal growth42
Isogeometric algorithm for one-step inverse forming of sheet metal42
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method42
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems42
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density41
A general ordinary state-based peridynamic formulation for anisotropic materials41
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures41
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment41
Learning high-dimensional parametric maps via reduced basis adaptive residual networks41
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage40
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification40
Modeling granular material dynamics and its two-way coupling with moving solid bodies using a continuum representation and the SPH method40
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows40
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization40
Editorial Board40
A stochastic finite element scheme for solving partial differential equations defined on random domains40
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach40
Phase-field modeling of hydrogen-promoted fracture: Natural incorporation of hydrostatic stress dependencies via a chemical potential-based variational formulation40
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid40
Derivable Skeletons in Topology Optimization for Length Scale Control39
Transient sensitivity analysis and topology optimization of particle suspended in transient laminar fluid39
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion39
Neural cellular automata for solidification microstructure modelling39
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization39
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models39
A multi-material topology optimization method based on implicit topology description functions39
A subdivision-stabilized B-spline mixed material point method39
A robust algorithm for rate-independent crystal plasticity39
Fast multipole boundary element method for the acoustic analysis of finite periodic structures39
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression39
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes38
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs38
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface38
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets38
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method38
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression38
Reprint of: A forward–backward greedy approach for sparse multiscale learning38
Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method38
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method38
Gradient jump penalty stabilisation of spectral/hp38
Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials37
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization37
A novel Godunov-type scheme for free-surface flows with artificial compressibility37
A spectral surrogate model for stochastic simulators computed from trajectory samples37
Effective linear wave motion in periodic origami structures37
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers37
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces37
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks37
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing37
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure37
Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity37
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading37
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set37
An extreme learning machine-based method for computational PDEs in higher dimensions37
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity36
A shock-capturing scheme with a novel limiter for compressible flows solved by smoothed particle hydrodynamics36
A computationally efficient physiologically comprehensive 3D–0D closed-loop model of the heart and circulation36
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes36
Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems36
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm36
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks36
Finite strain topology optimization with nonlinear stability constraints36
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS36
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data36
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation36
Crack branching and merging simulations with the shifted fracture method35
Stress-related discrete variable topology optimization with handling non-physical stress concentrations35
High-order space–time parallel computing of the Navier–Stokes equations35
Data-driven identification of stable sparse differential operators using constrained regression35
Macroscopic stress, couple stress and flux tensors derived through energetic equivalence from microscopic continuous and discrete heterogeneous finite representative volumes35
Deep mechanics prior - for the multiscale finite element method35
Machine learning-accelerated peridynamics model for mechanical and failure behaviors of materials35
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