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 2021-12-01 to 2025-12-01.)
ArticleCitations
The eXtended virtual element method for elliptic problems with weakly singular solutions802
Use of coherent node clusters as coarse grid in 2-Level Schwarz solver in finite element solid and structural mechanics761
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries441
The Fast Forward Quantum Optimization Algorithm: A study of convergence and novel unconstrained optimization379
Non-intrusive reduced-order modeling for dynamical systems with spatially localized features326
Space–time computational flow analysis: Unconventional methods and first-ever solutions285
MetaFEM: A generic FEM solver by meta-expressions255
En-DeepONet: An enrichment approach for enhancing the expressivity of neural operators with applications to seismology248
Fully GPU-accelerated, matrix-free immersed boundary method for complex fiber-reinforced hyperelastic cardiac models230
Porous structure optimization via non-uniform thermal diffusion206
Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves197
Weighted quadrature for hierarchical B-splines197
An extended ordinary state-based peridynamics for non-spherical horizons189
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface187
Data-driven elasto-(visco)-plasticity involving hidden state variables182
A data-driven modeling framework for nonlinear static aeroelasticity176
Two-phase fluid deformable surfaces with constant enclosed volume and phase-dependent bending and Gaussian rigidity176
Parallel Algebraic Multigrid Solvers for Composite Discontinuous Galerkin Discretization of the Cardiac EMI Model in Heterogeneous Media165
Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics164
An energy-consistent discretization of hyper-viscoelastic contact models for soft tissues155
Editorial Board146
Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier–Stokes equations145
Creep crack propagation using phase-field model within a multi-patch isogeometric framework143
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model139
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework136
An enriched immersed boundary method for Stefan problem with application to thermal modeling of additive manufacturing process132
A robust and efficient adaptive NURBS contact enrichment technique130
Graph-based representation of history-dependent material response in the Data-Driven Computational Mechanics framework126
Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance124
Overcoming membrane locking in quadratic NURBS-based discretizations of linear Kirchhoff–Love shells: CAS elements122
A modified rate-dependent peridynamic model with rotation effect for dynamic mechanical behavior of ceramic materials118
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method115
Risk-averse design of tall buildings for uncertain wind conditions111
Finite deformation analysis of flexoelectric shells107
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries106
A computationally efficient isoparametric tangled finite element method for handling inverted quadrilateral and hexahedral elements105
Implicit neural differentiable model for spatiotemporal dynamics103
Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds102
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks97
Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis94
U-splines: Splines over unstructured meshes92
Explicit Dual-Mesh virtual element method for 2D nonlinear dynamic problems91
On nonlocal-deformation-field-driven bond-based peridynamics and its inherent nonlocal continuum mechanics90
Multiscale design of nonlinear materials using reduced-order modeling90
DiffMat: Data-driven inverse design of energy-absorbing metamaterials using diffusion model90
Asymptotic homogenization-based strain gradient elastodynamics: Governing equations, well-posedness and numerical examples89
Concurrent multi-scale modeling of granular materials: Role of coarse-graining in FEM-DEM coupling88
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain87
Effect of non-uniform void distributions on the yielding of metals87
Co-design of magnetic soft robots with large deformation and contacts via material point method and topology optimization85
A quadrilateral plate-type finite element to model stress singularities in no-tension materials85
Parallel spatiotemporal order-reduced Gaussian process for dynamic full-field multi-physics prediction of hypervelocity collisions in real-time with limited data85
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state84
FE-LSTM: A hybrid approach to accelerate multiscale simulations of architectured materials using Recurrent Neural Networks and Finite Element Analysis84
Physics-informed machine learning in asymptotic homogenization of elliptic equations84
Multi-scale design of composite material structures for maximizing fundamental natural frequency81
Multi-objective design optimization of 3D micro-architected implants81
Multi-output physics-informed neural networks for forward and inverse PDE problems with uncertainties79
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies78
Theory and implementation of inelastic Constitutive Artificial Neural Networks78
A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture77
Concurrent topology optimization of shells with self-supporting infills for additive manufacturing76
Arbitrary curvature programming of thermo-active liquid crystal elastomer via topology optimization76
PGD reduced-order modeling for structural dynamics applications74
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations74
Multi-objective topology optimization for solid-porous infill designs in regions-divided structures using multi-patch isogeometric analysis70
Peridynamic neural operators: A data-driven nonlocal constitutive model for complex material responses70
A parametric level set method for the optimization of composite structures with curvilinear fibers70
Stabilized LSMPS method for complex free-surface flow simulation70
A novel global prediction framework for multi-response models in reliability engineering using adaptive sampling and active subspace methods69
An isogeometric phase–field based shape and topology optimization for flexoelectric structures67
Weak-form latent space dynamics identification67
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change67
A coupled thermo-chemo-mechanical peridynamic model for predicting process-induced residual stress in fiber-reinforced polymer composites67
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework66
Variational Bayesian surrogate modelling with application to robust design optimisation65
PhyCRNet: Physics-informed convolutional-recurrent network for solving spatiotemporal PDEs65
Data-driven reduced-order models for port-Hamiltonian systems with operator inference64
Editorial Board64
Numerical investigation of stabilization in the Hybridizable Discontinuous Galerkin method for linear anisotropic elastic equation64
2-D local hp adaptive isogeometric analysis based on hierarchical Fup basis functions63
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations63
The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation63
A locally conservative multiscale method for stochastic highly heterogeneous flow62
Corrigendum to “Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation” Comput. Methods Appl. Mech. Engrg. 377 (2021) 11370462
Gradient and uncertainty enhanced sequential sampling for global fit62
Stochastic dynamic analysis of composite plates in thermal environments using nonlinear autoregressive model with exogenous input in polynomial chaos expansion surrogate62
Robust trimmed multipatch IGA with singular maps60
Mesh free Hamiltonian method for solid dynamics simulation60
A general formulation of topology optimization for nonlinear materials incorporating internal variables by the continuous adjoint method60
High-order spline upwind for space–time Isogeometric Analysis60
Hybridized augmented Lagrangian methods for contact problems60
Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group 60
Stabilized formulation for phase-transforming flows with special emphasis on cavitation inception60
A non-intrusive nonlinear structural ROM for partitioned two-way fluid–structure interaction computations59
Dimension extending technique for constitutive integration of plasticity with hardening–softening behaviors59
Bayesian synergistic metamodeling (BSM) for physical information infused data-driven metamodeling59
Maximum thickness control in topology optimization using an inflection-point-based geometric constraint59
An integrated heart–torso electromechanical model for the simulation of electrophysiological outputs accounting for myocardial deformation58
An objective FE-formulation for Cosserat rods based on the spherical Bézier interpolation58
Outlier-free spline spaces for isogeometric discretizations of biharmonic and polyharmonic eigenvalue problems58
A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials57
Spherical harmonics-based pseudo-spectral method for quantitative analysis of symmetry breaking in wrinkling of shells with soft cores56
Variational sequential optimal experimental design using reinforcement learning56
A partitioned flexibility (PartFlex) method for structural analysis56
A corrected Raviart–Thomas Spectral Difference scheme stable for arbitrary order of accuracy on triangular and tetrahedral meshes56
Parametric estimation of a stability factor for certified reduced basis methods via adaptive Gaussian process56
Simulations of ultrasonic guided wave scattering using the scaled boundary finite element method56
Machine-learning-based virtual fields method: Application to anisotropic hyperelasticity55
A three-dimensional finite element formulation coupling electrochemistry and solid mechanics on resolved microstructures of all-solid-state lithium-ion batteries55
Coupled semi-Lagrangian and poroelastic peridynamics for modeling hydraulic fracturing in porous media55
Overlapping Schwarz preconditioners for randomized neural networks with domain decomposition55
Convolution tensor decomposition for efficient high-resolution solutions to the Allen–Cahn equation55
Geometric prior of multi-resolution yielding manifolds and the local closest point projection for nearly non-smooth plasticity55
Points of inflection of special eigenvalue functions as indicators of stiffness maxima/minima of proportionally loaded structures54
PeriPy - A high performance OpenCL peridynamics package54
A virtual model architecture for engineering structures with Twin Extended Support Vector Regression (T-X-SVR) method54
Preconditioning iterative solvers via the Empirical Interscale Finite Element Method (EIFEM)54
Spatio-spectral graph neural operator for solving computational mechanics problems on irregular domain and unstructured grid54
Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes53
Equivariant graph convolutional neural networks for the representation of homogenized anisotropic microstructural mechanical response53
A non-intrusive iterative generalized finite element method for multiscale coupling of 3-D solid and shell models53
Parameter estimation with maximal updated densities53
Data-efficient deep operator network for unsteady flow: A multi-fidelity approach with physics-guided subsampling53
A coupled THM-SPH computational framework for frozen soils and its applications for thawing-induced slope failure53
Reduced order models for Lagrangian hydrodynamics52
A multi-hybrid algorithm with shrinking population adaptation for constraint engineering design problems52
Stochastic fracture and fatigue analysis in elasto-plastic materials via virtual modelling techniques52
Modelling high temperature progressive failure in C/SiC composites using a phase field model: Oxidation rate controlled process52
Second-order computational homogenisation enhanced with non-uniform body forces for non-linear cellular materials and metamaterials52
An implicit Material Point Method for micropolar solids undergoing large deformations51
A coupling approach of the isogeometric–meshfree method and peridynamics for static and dynamic crack propagation51
Difference between smoothed particle hydrodynamics and moving particle semi-implicit operators51
Topology optimization of multi-material structures considering a piecewise interface stress constraint51
Uncertainty quantification for noisy inputs–outputs in physics-informed neural networks and neural operators50
XFEM for multiphysics analysis of edge dislocations with nonuniform misfit strain: A novel enrichment implementation50
Mesh objective simulations of large strain ductile fracture: A new nonlocal Johnson-Cook damage formulation for the Total Lagrangian Material Point Method50
Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis50
Reduced-order methods for dynamic problems in topology optimization: A comparative study50
Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach50
Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model49
Past, current and future trends and challenges in non-deterministic fracture mechanics: A review49
Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time49
Bond- and state-based peridynamic analysis in a commercial finite element framework with native elements48
Invariant data-driven subgrid stress modeling in the strain-rate eigenframe for large eddy simulation48
A structure-preserving integrator for incompressible finite elastodynamics based on a grad-div stabilized mixed formulation with particular emphasis on stretch-based material models48
A parametric non-linear non-intrusive reduce-order model using deep transfer learning48
Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure48
Kolmogorov n–width and Lagrangian physics-informed neural networks: A causality-conforming manifold for convection-dominated PDEs48
Minimal mass design of clustered tensegrity structures47
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics47
Volume conservation issue within SPH models for long-time simulations of violent free-surface flows47
An efficient isogeometric/finite-difference immersed boundary method for the fluid–structure interactions of slender flexible structures47
Novel study on active reliable PID controller design based on probability density evolution method and interval-oriented sequential optimization strategy47
Surrogate construction via weight parameterization of residual neural networks47
Extended physics-informed extreme learning machine for linear elastic fracture mechanics46
Bayesian learning of orthogonal embeddings for multi-fidelity Gaussian Processes46
Spatially-aware diffusion models with cross-attention for global field reconstruction with sparse observations46
Dimensional decomposition-aided metamodels for uncertainty quantification and optimization in engineering: A review46
POD-DL-ROM: Enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition45
Multi-fidelity physics-informed machine learning framework for fatigue life prediction of additive manufactured materials45
A global–local meta-modelling technique for model updating45
A complete Physics-Informed Neural Network-based framework for structural topology optimization45
Variational Bayesian optimal experimental design with normalizing flows45
Self-support topology optimization considering distortion for metal additive manufacturing45
Interval deep neural networks with damage function for credible structural identification45
Efficient multi-level hp-finite elements in arbitrary dimensions44
Derivable Skeletons in Topology Optimization for Length Scale Control44
Editorial Board44
Rheological modeling of frontal-polymerization-based direct ink writing of thermoset polymers44
Boosting efficiency and reducing graph reliance: Basis adaptation integration in Bayesian multi-fidelity networks44
Consistent pressure formulation of the Stokes problem and approximation thereof44
Advanced absorbing boundaries for elastodynamic finite element analysis: The added degree of freedom method43
A NURBS-based level set method for the manufacturing-oriented thermal buckling optimization of curvilinear fiber composite panels with cut-outs43
A graph neural network surrogate model for multi-objective fluid-acoustic shape optimization43
Navigating local minima and bifurcations in brittle thin film systems with irreversible damage43
An orthotropic plasticity model at finite strains with plasticity-induced evolution of orthotropy based on a covariant formulation43
Stable across regimes: A mixed DG method for Darcy–Brinkman–Stokes type flows43
Editorial Board43
Reduced Basis modelling of turbulence with well-developed inertial range43
Phase-field modeling of hydrogen-promoted fracture: Natural incorporation of hydrostatic stress dependencies via a chemical potential-based variational formulation43
Stochastic multi-fidelity surrogate modeling of dendritic crystal growth43
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes42
Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: Problem clarification and solutions verification42
Transient sensitivity analysis and topology optimization of particle suspended in transient laminar fluid42
Evolutionary topology optimization with stress control for composite laminates using Tsai-Wu criterion41
Patch-wise quadrature of trimmed surfaces in Isogeometric Analysis41
Reprint of: A forward–backward greedy approach for sparse multiscale learning41
Mixed displacement–pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models41
Designing brittle fracture-resistant structures:A tensile strain energy-minimized topology optimization41
FSGe: A fast and strongly-coupled 3D fluid–solid-growth interaction method40
SVR-TO-APMA: Hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach40
A mean-strain estimate for plastic particles intended for distinct-particle simulations at high relative density40
Conditions for minimum stiffness of proportionally loaded structures40
On the mesh insensitivity of the edge-based smoothed finite element method for moving-domain problems40
Learning high-dimensional parametric maps via reduced basis adaptive residual networks40
Parallel inexact Newton–Krylov and quasi-Newton solvers for nonlinear elasticity40
Two-scale concurrent topology optimization of multiple lattice materials with non-uniform thickness interfaces40
Fast multipole boundary element method for the acoustic analysis of finite periodic structures40
A Bayesian framework for constitutive model identification via use of full field measurements, with application to heterogeneous materials40
A physically consistent Discrete Element Method for arbitrary shapes using Volume-interacting Level Sets40
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment40
Finite strain topology optimization with nonlinear stability constraints40
A stochastic finite element scheme for solving partial differential equations defined on random domains39
Asymptotic homogenization approach for anisotropic micropolar modeling of periodic Cauchy materials39
Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks39
A multi-layer SPH method for generic water–soil dynamic coupling problems. Part I: Revisit, theory, and validation39
A computationally efficient physiologically comprehensive 3D–0D closed-loop model of the heart and circulation39
FFT-based multiscale scheme for homogenisation of heterogeneous plates including damage and failure39
A shock-capturing scheme with a novel limiter for compressible flows solved by smoothed particle hydrodynamics39
Windowed space–time least-squares Petrov–Galerkin model order reduction for nonlinear dynamical systems39
A phase-field cohesive fracture model free from the length scale constraints39
Effective linear wave motion in periodic origami structures39
Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials39
A robust algorithm for rate-independent crystal plasticity39
An efficient discrete physics-informed neural networks for geometrically nonlinear topology optimization39
Structural topology optimization for additive manufacturing with free choice of self-supporting and infill-supporting structures39
Characteristics/finite element analysis for two incompressible fluid flows with surface tension using level set method39
Derivative-based SINDy (DSINDy): Addressing the challenge of discovering governing equations from noisy data39
A robust-based configuration design method of piezoelectric materials for mechanical load identification considering structural vibration suppression39
A CAD-oriented parallel-computing design framework for shape and topology optimization of arbitrary structures using parametric level set38
Isogeometric algorithm for one-step inverse forming of sheet metal38
A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes38
Discovering a reaction–diffusion model for Alzheimer’s disease by combining PINNs with symbolic regression38
Three-dimensionsal granular flow continuum modeling via material point method with hyperelastic nonlocal granular fluidity38
A multi-material topology optimization method based on implicit topology description functions38
Development of process design tools for extrusion-based bioprinting: From numerical simulations to nomograms through reduced-order modeling38
A scaled boundary finite element approach for elastoplastic analysis and implementation in ABAQUS38
SPI-MIONet for surrogate modeling in phase-field hydraulic fracturing38
Residual-based adaptivity for two-phase flow simulation in porous media using Physics-informed Neural Networks38
Bayesian inference of mesoscale mechanical properties of mortar using experimental data from a double shear test38
S-version finite element strategy for accurately evaluating local stress in the vicinity of dynamically propagating crack front in 3D solid38
A general ordinary state-based peridynamic formulation for anisotropic materials37
Stabilized isogeometric formulation of the multi-network poroelasticity and transport model (MPET37
Neural cellular automata for solidification microstructure modelling37
Enhancing topology optimization with colored body-fitted mesh using adaptive filter, dual re-meshing strategy, and OOP programming paradigm37
A novel Godunov-type scheme for free-surface flows with artificial compressibility37
A spectral surrogate model for stochastic simulators computed from trajectory samples37
A subdivision-stabilized B-spline mixed material point method37
On efficient simulation of self-assembling diblock copolymers using a peridynamic-enhanced Fourier spectral method37
Gradient jump penalty stabilisation of spectral/hp36
PINN-FORM: A new physics-informed neural network for reliability analysis with partial differential equation36
Machine learning-accelerated peridynamics model for mechanical and failure behaviors of materials36
Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface36
High-order space–time parallel computing of the Navier–Stokes equations36
Crack branching and merging simulations with the shifted fracture method36
An extreme learning machine-based method for computational PDEs in higher dimensions36
Projection-based model order reduction of embedded boundary models for CFD and nonlinear FSI36
Data-driven identification of stable sparse differential operators using constrained regression36
Nodal finite element approximation of peridynamics36
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