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 2022-08-01 to 2026-08-01.)
ArticleCitations
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics573
Data-driven elasto-(visco)-plasticity involving hidden state variables292
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain261
Multiscale design of nonlinear materials using reduced-order modeling239
Editorial Board221
The eXtended virtual element method for elliptic problems with weakly singular solutions192
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization190
A spline-based stress function approach for the principle of minimum complementary energy189
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations188
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media187
Porous structure optimization via non-uniform thermal diffusion182
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state178
Weighted quadrature for hierarchical B-splines177
Creep crack propagation using phase-field model within a multi-patch isogeometric framework167
A novel data-driven surrogate approach for fast evaluation of the dynamics of soft ellipsoidal micro-particles in dilute viscous flow162
A unified and high-efficiency approach to accurately simulating strength degradation and fatigue failure of metals and geomaterials with splines-renormalizing technique162
A phase-field model to simulate membrane remodeling and topology changes induced by wetting droplets161
A unified multiscale framework for stress-Based topology optimization using local constraint enforcement160
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds150
Adaptive mesh h(p)-refinement of a discontinuous Bubnov-Galerkin isogeometric analysis spatial discretisation of the first-order form of the neutron transport equation with goal-based error measures a149
An extended ordinary state-based peridynamics for non-spherical horizons149
Latent attention operator network with augmented representation for complex PDE systems in intricate geometries148
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements142
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements135
Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models126
Variational Bayesian surrogate modelling with application to robust design optimisation118
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity117
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process116
An RBF-based method for computational electromagnetics with reduced numerical dispersion116
A data-driven modeling framework for nonlinear static aeroelasticity115
A Green’s function fast multipole method for computation of micromechanical fields in heterogeneous materials110
A topological approach to crack path detection and crack opening displacement calculation in phase-field models of fracture107
A robust and efficient adaptive NURBS contact enrichment technique105
Implicit neural differentiable model for spatiotemporal dynamics105
Physics- and data-driven active learning of neural network representations for free energy density functions of materials from statistical mechanics104
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis104
A P-DNS approach for weakly compressible turbulent flows104
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change104
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data101
SIMS: Simulation-Informed Mesh Seeding for electromagnetic simulations100
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries100
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples99
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems97
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework97
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface95
U-splines: Splines over unstructured meshes93
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis93
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization93
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework92
Variational data-consistent assimilation89
Space-time finite element path-following for periodic solutions in nonlinear vibration problems89
Finite deformation analysis of flexoelectric shells88
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features85
Polynomial chaos vs kernel machine learning methods for uncertainty quantification: A comparative study and benchmarking with the hybrid PCE-GPR approach84
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues83
Decoupled computational homogenization of geometrically exact hyperelastic rods with nonuniform warping83
A quadrilateral plate-type finite element to model stress singularities in no-tension materials82
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model80
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture80
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance79
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics79
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model78
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies78
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries77
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization76
PGD reduced-order modeling for structural dynamics applications76
Space–time computational flow analysis: Unconventional methods and first-ever solutions75
Towards robust surrogate models: Benchmarking machine learning approaches to expediting phase field simulations of brittle fracture75
Configurational forces in the virtual element method with applications to cracks74
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites73
The isogeometric MITC shell in geometric nonlinear analysis73
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis72
A complement to neural networks for anisotropic inelasticity at finite strains72
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods72
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses72
Physics-informed machine learning in asymptotic homogenization of elliptic equations71
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics71
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks71
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework71
Weak-form latent space dynamics identification70
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology70
Macro-element refinement schemes for THB-splines: Applications to Bézier projection and structure-preserving discretizations70
Effect of non-uniform void distributions on the yielding of metals69
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling68
Multi-scale design of composite material structures for maximizing fundamental natural frequency67
Theory and implementation of inelastic Constitutive Artificial Neural Networks67
Efficient Adjoint Petrov-Galerkin reduced order models for fluid flows governed by the semi-discrete incompressible Navier-Stokes equations66
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties65
Risk-averse design of tall buildings for uncertain wind conditions65
Editorial Board64
A locally conservative multiscale method for stochastic highly heterogeneous flow63
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures63
Surrogate construction via weight parameterization of residual neural networks63
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores62
Discontinuous Galerkin cohesive zone modeling of toughness-controlled failure62
Learning anisotropic hyperelasticity with an unsupervised symmetry-aware equilibrium-based neural network62
Preconditioning techniques for Hybridizable discontinuous Galerkin discretizations on GPU architectures62
Fourth-order isogeometric phase-field modeling of dynamic brittle fracture: Numerical study and comparison with second-order models61
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques60
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media60
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach60
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation59
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models59
Predicting temperature-dependent failure and transformation zones in 2D silica glass through quasistatic Gaussian phase packets58
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate58
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process57
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions57
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception57
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation57
A multiscale lattice Boltzmann model for simulating Stokes to pre-Darcy flow57
Hybridized augmented Lagrangian methods for contact problems56
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems56
Mesh free Hamiltonian method for solid dynamics simulation56
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements56
A large deformation finite element analysis of SE(3)-based beams using dual algebra56
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 55
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes55
An implicit Material Point Method for micropolar solids undergoing large deformations55
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
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint54
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems54
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition54
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation54
A surrogate model for topology optimisation of elastic structures via parametric autoencoders54
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes54
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid53
Topology optimization of multi-material structures considering a piecewise interface stress constraint53
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries53
Robust topology optimization of continuum structures under material uncertainties using multifidelity Monte Carlo52
Data-driven reduced-order models for port-Hamiltonian systems with operator inference52
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method52
Gradient and uncertainty enhanced sequential sampling for global fit52
Variational sequential optimal experimental design using reinforcement learning52
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model52
Rational-adaptive tip element with implicit enrichment for efficient crack modeling51
Extended physics-informed extreme learning machine for linear elastic fracture mechanics51
A complete Physics-Informed Neural Network-based framework for structural topology optimization51
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation51
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling51
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs51
A parametric non-linear non-intrusive reduce-order model using deep transfer learning51
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators51
A global–local meta-modelling technique for model updating51
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations51
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method50
Optimal experimental design for reliable learning of history-dependent constitutive laws50
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure50
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy50
Robust trimmed multipatch IGA with singular maps50
DeepONet-accelerated Bayesian inversion for moving boundary problems50
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation50
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response50
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials50
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review50
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials50
Parameter estimation with maximal updated densities50
SMDNN: A serial multiscale deep neural network for scale-bridging closure strategy of rubber friction49
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations49
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process49
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review49
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations49
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure49
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows49
Interval deep neural networks with damage function for credible structural identification48
Multi-physics-enhanced Bayesian inverse analysis: Information gain from additional fields48
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation48
Minimal mass design of clustered tensegrity structures48
A partitioned flexibility (PartFlex) method for structural analysis48
A novel quasi-smooth manifold method with enriched interpolation for wave propagation and structural dynamics48
Variational Bayesian optimal experimental design with normalizing flows48
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)47
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures47
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity47
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation47
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling47
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials47
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models47
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation47
Editorial Board46
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity46
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics46
High-order spline upwind for space–time Isogeometric Analysis46
Neural cellular automata for solidification microstructure modelling46
Self-support topology optimization considering distortion for metal additive manufacturing46
A general ordinary state-based peridynamic formulation for anisotropic materials45
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method45
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing45
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials45
A unified non-linear energy dissipation-based plastic-damage model for cyclic loading45
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs45
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets44
A density-driven contact model for isogeometric topology optimization of frictional contact problems44
Model-order reduction with optimal morphings for poorly reducible problems with geometric variability44
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data44
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling44
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization44
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization44
Wave propagation in Kelvin–Voigt heterogeneous materials: A spectral-Galerkin approach44
Isogeometric fluid-structure interaction using a mixed continuous/discontinuous Galerkin scheme43
Model order reduction for unbounded second-order vibroacoustic systems using infinite elements and Dirichlet-to-Neumann map43
Finite strain topology optimization with nonlinear stability constraints43
Derivable Skeletons in Topology Optimization for Length Scale Control43
Consistent pressure formulation of the Stokes problem and approximation thereof42
Reduced Basis modelling of turbulence with well-developed inertial range42
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models42
Effective linear wave motion in periodic origami structures42
Bayesian neural networks with interpretable priors from Mercer kernels42
A stochastic finite element scheme for solving partial differential equations defined on random domains42
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method42
A subdivision-stabilized B-spline mixed material point method42
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set42
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure42
Multiphysics uncertainty decoupling methods for stochastic poroelastic analysis41
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET41
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity41
Adaptive finite element phase-field simulation of dynamic brittle fracture41
Editorial Board41
p-multigrid method for the discontinuous Galerkin discretization of elliptic problems with discontinuous coefficients40
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density40
Enforcing mesh quality constraints in shape optimization with a gradient projection method40
Conditions for minimum stiffness of proportionally loaded structures40
Reprint of: A forward–backward greedy approach for sparse multiscale learning40
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm40
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test40
Intrepid MCMC: Metropolis-Hastings with exploration40
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method40
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows39
Surrogate-enhanced higher order eigenstrain-based reduced order homogenization for polycrystal plasticity39
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid39
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach39
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage39
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment39
Machine learning-assisted design of composite EM collimators considering additive manufacturing constraints39
A phase-field cohesive fracture model free from the length scale constraints39
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification39
Learning high-dimensional parametric maps via reduced basis adaptive residual networks39
Dual-primal isogeometric tearing and interconnecting solvers for adaptively refined multi-patch configurations39
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization39
Efficient multi-level hp-finite elements in arbitrary dimensions39
A continuous topology optimization framework using an explicit binarization constraint39
A multi-material topology optimization method based on implicit topology description functions39
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis38
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks38
A spectral surrogate model for stochastic simulators computed from trajectory samples38
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers38
Benchmarking and extending grid-based, meshfree, and physics-informed neural network methods for the generalized probability density evolution equation38
Quantum neural network-assisted topology optimization: Concept and implementation with parameterized quantum circuits38
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation38
A virtual element method for the Biot-Brinkman equations using Nitsche’s technique38
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression38
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