Computer Methods in Applied Mechanics and Engineering

Papers
(The TQCC of Computer Methods in Applied Mechanics and Engineering is 14. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Physics-informed machine learning in asymptotic homogenization of elliptic equations2072
Quasi-optimal mesh generation for the virtual element method: A fully adaptive remeshing procedure655
Physics-augmented neural networks for constitutive modeling of hyperelastic geometrically exact beams638
Surrogate-assisted Kriging training utilizing boxplot and correlation coefficient for large-scale data610
A Discontinuity-Enriched Finite Element Method (DE-FEM) for modeling quasi-static fracture growth in brittle solids317
Two novel discontinuity-removing PINNs for solving variable coefficient elliptic interface problems on curved surfaces295
Probabilistic Learning on Manifolds (PLoM) for cross-scale diagnostics in structural dynamics226
DMT-OMPA: Innovative applications of an efficient adversarial Marine Predators Algorithm based on dynamic matrix transformation in engineering design optimization223
Convergence of multirate fixed stress split iterative schemes for a fractured Biot model218
Constructing boundary-identical microstructures via guided diffusion for fast multiscale topology optimization198
SUPG-stabilized time-DG finite and virtual elements for the time-dependent advection–diffusion equation159
Learning implicit yield surface models with uncertainty quantification for noisy datasets156
An inter-system iteration technique in the whole time domain implemented by the coupling of FEM and TD-BEM149
Tree–cotree-based tearing and interconnecting for 3D magnetostatics: A dual–primal approach147
A deep learning framework to predict microstructurally small fatigue crack growth in three-dimensional polycrystals143
MSFPSO: Multi-algorithm integrated particle swarm optimization with novel strategies for solving complex engineering design problems138
A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs135
Accelerating the data-driven multiscale finite element analysis for elastoplastic materials by using proper orthogonal decomposition and transformer architecture134
Superconvergent isogeometric collocation with box splines130
An univariate method for multi-material topology optimization and its application to engineering structures with unstructured meshes129
Data-driven multifidelity topology design with multi-channel variational auto-encoder for concurrent optimization of multiple design variable fields129
A hybrid isogeometric collocation method on implicitly trimmed domains126
Non-overlapping, Schwarz-type domain decomposition method for physics and equality constrained artificial neural networks122
A BEM-based topology optimization for acoustic problems considering tangential derivative of sound pressure119
Efficient global adaptive Kriging approximation method in terms of moment for reliability-based design optimization113
Editorial Board111
An extensible set of parent elements to facilitate the isoparametric concept for polygons at finite strains: A scaled boundary finite element approach111
Convolution finite element method for analysis of piezoelectric materials111
Generalized multiscale approximation of a mixed finite element method with velocity elimination for Darcy flow in fractured porous media108
Non-convolutional second-order complex-frequency-shifted perfectly matched layers for transient elastic wave propagation104
A new approach based on spectral graph theory to avoiding enclosed holes in topology optimization101
A machine learning-based viscoelastic–viscoplastic model for epoxy nanocomposites with moisture content100
A variable-fidelity hybrid surrogate approach for quantifying uncertainties in the nonlinear response of braided composites100
A deep learning method for multi-material diffusion problems based on physics-informed neural networks98
An adaptive mesh refinement algorithm for phase-field fracture models: Application to brittle, cohesive, and dynamic fracture97
Bayesian calibration of computer models based on Takagi–Sugeno fuzzy models96
Highly efficient ensemble algorithms for computing the Stokes–Darcy equations96
Polymorphic uncertainty quantification for engineering structures via a hyperplane modelling technique94
A robust monolithic solver for phase-field fracture integrated with fracture energy based arc-length method and under-relaxation94
Calibrating hypersonic turbulence flow models with the HIFiRE-1 experiment using data-driven machine-learned models93
Efficient GPU accelerated topology optimization of composite structures with spatially varying fiber orientations88
Enhancing efficiency in particle aggregation simulations: Coarse-grained particle modeling in the DEM-PBM coupled framework88
Statistically compatible hyper-reduction for computational homogenization84
A continuum and computational framework for viscoelastodynamics: I. Finite deformation linear models83
Shape sensitivity of thermoacoustic oscillations in an annular combustor with a 3D adjoint Helmholtz solver81
EKF–SINDy: Empowering the extended Kalman filter with sparse identification of nonlinear dynamics78
Porous structure optimization via non-uniform thermal diffusion78
Red blood cell transport in bounded shear flow: On the effects of cell viscoelastic properties78
A transfer learning physics-informed deep learning framework for modeling multiple solute dynamics in unsaturated soils77
Computational homogenization of fully coupled multiphase flow in deformable porous media76
Machine learning enhanced exploration of bubble dynamics beneath a horizontal wall76
Inferring unknown unknowns: Regularized bias-aware ensemble Kalman filter74
Machine learning predictive model for dynamic response of rising bubbles impacting on a horizontal wall74
Automated computation of topological derivatives with application to nonlinear elasticity and reaction–diffusion problems70
Higher temporal accuracy for LES-C turbulence models70
Embedment of WENO-Z reconstruction in Lagrangian WLS scheme implemented on GPU for strongly-compressible multi-phase flows68
Weak-form latent space dynamics identification68
Space–time computational flow analysis: Unconventional methods and first-ever solutions68
Diffusivity of porous media considering the coupling influence of pore shape- and size-polydispersities on the percolation: Theoretical and numerical studies67
Transcranial stimulation analysis using the smoothed finite element method67
Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps66
Physics-constrained Data-Driven Variational method for discrepancy modeling66
A neural kernel method for capturing multiscale high-dimensional micromorphic plasticity of materials with internal structures65
Isogeometric schemes in rarefied gas dynamics context63
Rapid machine-learning enabled design and control of precise next-generation cryogenic surgery in dermatology63
Editorial Board63
An approximate C162
Distance-preserving manifold denoising for data-driven mechanics62
Kolmogorov–Arnold-Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov–Arnold Networks61
A functional global sensitivity measure and efficient reliability sensitivity analysis with respect to statistical parameters61
Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials60
Physics-Informed Holomorphic Neural Networks (PIHNNs): Solving 2D linear elasticity problems60
Numerical analysis of non-proportional biaxial reverse experiments with a two-surface anisotropic cyclic plasticity-damage approach60
Uncertainty quantification and propagation for multiscale materials systems with agglomeration and structural anomalies59
A novel deep learning-based modelling strategy from image of particles to mechanical properties for granular materials with CNN and BiLSTM59
FastSVD-ML–ROM: A reduced-order modeling framework based on machine learning for real-time applications59
A dimension-reduced variational approach for solving physics-based inverse problems using generative adversarial network priors and normalizing flows59
A robust Moore–Penrose pseudoinverse-based static finite-element solver for simulating non-local fracture in solids58
A hybrid polynomial chaos expansion – Gaussian process regression method for Bayesian uncertainty quantification and sensitivity analysis57
Inverse design of magneto-active metasurfaces and robots: Theory, computation, and experimental validation57
A multi-resolution SPH-FEM method for fluid–structure interactions56
Optimizing structural topology design through consideration of fatigue crack propagation54
Investigation on fracture behaviour of UHPFRC using a mesoscale computational framework53
Interpolation-based immersed finite element and isogeometric analysis53
A novel neural-network non-ordinary state-based peridynamic method for large deformation and fracture analysis of hyperelastic membrane53
Generalised tangent stabilised nonlinear elasticity: An automated framework for controlling material and geometric instabilities52
Intermediate flexural crack debonding of externally bonded FRP in RC beams through a FEM formulation based on positions52
Editorial Board52
Phase-field modeling of electromechanical fracture in piezoelectric solids: Analytical results and numerical simulations52
The interior penalty virtual element method for the two-dimensional biharmonic eigenvalue problem52
A cracked zone clustering method for discrete fracture with minimal enhanced degrees of freedom52
ReF-nets: Physics-informed neural network for Reynolds equation of gas bearing51
Pore-scale model of freezing inception in a porous medium51
The isogeometric boundary element method: A alternative approach to the analysis of trimmed geometrical models51
A level set-based interface-enriched topology optimization for the design of phononic crystals with smooth boundaries51
Risk-averse design of tall buildings for uncertain wind conditions51
Neural-physics multi-fidelity model with active learning and uncertainty quantification for GPU-enabled microfluidic concentration gradient generator design51
Robust topology optimization for transient dynamic response minimization51
A thermodynamically consistent model for two-phase incompressible flows with different densities. Derivation and efficient energy-stable numerical schemes50
Peridynamic modeling of elastic instability and failure in lattice beam structures50
Phase-field modeling of crack propagation in heterogeneous materials with multiple crack order parameters50
An integral framework for computational thermo-elastic homogenization of polycrystalline materials50
Towards shock absorbing hyperelastic metamaterial design. (I) Macroscopic scale: Computational shock-capturing49
An efficient discretization for a family of Time Relaxation models49
Finite element models with node-dependent kinematics based on Legendre polynomials for the global–local analysis of compact and thin walled beams49
Editorial Board49
Editorial Board48
Enforcement of interface laws for dissipative vibro-acoustic problems within high-order X-FEM48
Quadratic serendipity element shape functions on general planar polygons48
Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface47
Data-physics driven multiscale approach for high-pressure resin transfer molding (HP-RTM)47
A thermodynamically consistent time integration scheme for non-linear thermo-electro-mechanics47
Tridynamic model of the beam with transverse shear deformation47
11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes47
Efficient multi-partition topology optimization46
Editorial Board46
A parameter-free LES model for anisotropic mesh adaptivity46
Editorial Board46
An extended ordinary state-based peridynamics for non-spherical horizons45
A multilevel block preconditioner for the HDG trace system applied to incompressible resistive MHD45
Laudatio for Editor Thomas J.R. Hughes45
An adaptive stabilized finite element method for the Darcy’s equations with pressure dependent viscosities44
Editorial Board44
Multi-scale identification of composite using modified constitutive relation error: Formulation and numerical study44
Lossy compression techniques supporting unsteady adjoint on 2D/3D unstructured grids43
A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network43
Editorial Board43
Editorial Board43
Editorial Board43
MetaFEM: A generic FEM solver by meta-expressions42
A scaled wave finite element method for computing scalar wave radiation and scattering in exterior domains42
Editorial Board42
A unified analytical expression of the tangent stiffness matrix of holonomic constraints42
Editorial Board42
Multiple bifurcation paths visualized by a computational asymptotic stability theory42
Computational modelling of epithelial cell monolayers during infection with Listeria monocytogenes42
A machine-learning framework for peridynamic material models with physical constraints41
Error representation of the time-marching DPG scheme41
Vectorial surrogate modeling method based on moving Kriging model for system reliability analysis41
A computational framework for well production simulation: Coupling steady state Darcy flow and channel flow by SGBEM–FEM40
Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions40
Towards quantum computational mechanics40
Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: Quasi-conservative formulation with subcell finite volume corrections39
An advection–diffusion based filter for machinable designs in topology optimization39
An integrated numerical model for coupled poro-hydro-mechanics and fracture propagation using embedded meshes39
A coupled SPH-SPIM solver for fluid-structure interaction with nonlinear deformation39
Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics39
GMC-PINNs: A new general Monte Carlo PINNs method for solving fractional partial differential equations on irregular domains38
An improved approximate integral method for nonlinear reliability analysis38
Topology optimization of compliant mechanisms under transient thermal conditions38
Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche38
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state38
A time viscosity-splitting method for incompressible flows with temperature-dependent viscosity and thermal conductivity38
Bayesian reduced-order deep learning surrogate model for dynamic systems described by partial differential equations37
Improving the performance of Stein variational inference through extreme sparsification of physically-constrained neural network models37
Multiscale methods for solving wave equations on spatial networks37
Surrogate-accelerated Bayesian framework for high-temperature thermal diffusivity characterization37
Foundations of volume integral methods for eddy current problems37
Adaptive Isogeometric analysis for transient dynamics: Space–time refinement based on hierarchical a-posteriori error estimations37
Enhancing subset simulation through Bayesian inference37
Mechanical properties of glassy polymer nanocomposites via atomistic and continuum models: The role of interphases36
Multi-material topology optimization for additive manufacturing considering dimensional constraints36
Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves36
A generalized sensitivity analysis method based on variance and covariance decomposition of summatory functions for multi-input multi-output systems36
Multi-objective topology optimization incorporating an adaptive weighed-sum method and a configuration-based clustering scheme36
Data-driven elasto-(visco)-plasticity involving hidden state variables36
Editorial Board36
Adaptive isogeometric phase-field modeling of the Cahn–Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries36
Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes36
An isogeometric phase–field based shape and topology optimization for flexoelectric structures36
Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries36
Operator inference driven data assimilation for high fidelity neutron transport36
An efficient transient dynamic topology optimization framework based on successive iteration of analysis and design36
A shifted boundary method based on extension operators36
Finite element approximation of wave problems with correcting terms based on training artificial neural networks with fine solutions36
Surface tension and wettability calculation using density gradient potential in a physically consistent particle method36
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: Application to the hybridizable discontinuous Galerkin method36
Planar multi-patch domain parameterization for isogeometric analysis based on evolution of fat skeleton35
An isogeometric finite element formulation for geometrically exact Timoshenko beams with extensible directors35
Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture35
Leveraging spectral analysis to elucidate membrane locking and unlocking in isogeometric finite element formulations of the curved Euler–Bernoulli beam35
A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves35
InVAErt networks: A data-driven framework for model synthesis and identifiability analysis35
On nonlocal geometrically exact shell theory and modeling fracture in shell structures35
A novel dynamic reliability-based topology optimization (DRBTO) framework for continuum structures via interval-process collocation and the first-passage theories35
Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems35
Effect of non-uniform void distributions on the yielding of metals35
Topology optimization considering multi-axis machining constraints using projection methods35
Isogeometric boundary element analysis of liquid nonlinear sloshing in two dimensional rectangular tanks35
A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems35
Predicting the mechanical properties of biopolymer gels using neural networks trained on discrete fiber network data35
Rate-dependent phase field fracture simulation in polymers with adaptive mixed isogeometric approach35
Nonlinear material identification of heterogeneous isogeometric Kirchhoff–Love shells35
Scalable computation of energy functions for nonlinear balanced truncation34
A unified level set method for simulating mixed granular flows involving multiple non-spherical DEM models in complex structures34
The incorporation of mesh quality in the stabilization of virtual element methods for nonlinear elasticity34
Turbulent kinetic dissipation analysis for residual-based large eddy simulation of incompressible turbulent flow by variational multiscale method34
A nonlocal hybrid model for elasto-plastic fracture of rock-like materials34
A variational approach based on perturbed eigenvalue analysis for improving spectral properties of isogeometric multipatch discretizations34
Multi-failure mode reliability analysis method based on intelligent directional search with constraint feedback34
Hyper-dual number-based numerical differentiation of eigensystems34
Physics-Based Self-Learning Spiking Neural Network enhanced time-integration scheme for computing viscoplastic structural finite element response34
Large rotation isogeometric shell model for alternating stiff/soft curved laminates including warping and interlayer thickness change34
Active learning-assisted multi-fidelity surrogate modeling based on geometric transformation34
A nested non-invasive stochastic isogeometric method for the deformation of porous functionally graded material plates with high-dimensional material uncertainties34
A robust optimization framework for design of robotic system with kinematic and dynamic criteria34
A computational approach to identify the material parameters of the relaxed micromorphic model34
Galerkin-based finite strain analysis with enriched radial basis interpolation33
D2NO: Efficient handling of heterogeneous input function spaces with distributed deep neural operators33
An Isogeometric analysis based method for frictional elastic contact problems with randomly rough surfaces33
The eXtended virtual element method for elliptic problems with weakly singular solutions33
Buckling mode constraints for topology optimization using eigenvector aggregates33
Fusing nonlinear solvers with transformers for accelerating the solution of parametric transient problems33
Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities33
Primal–dual on-the-fly reduced-order modeling for large-scale transient dynamic topology optimization33
Multiscale formulation for materials composed by a saturated porous matrix and solid inclusions33
Unconditional stability in large deformation dynamic analysis of elastic structures with arbitrary nonlinear strain measure and multi-body coupling33
Parallel assembly of finite element matrices on multicore computers33
Phase-field modelling of dynamic hydraulic fracturing in porous media using a strain-based crack width formulation33
Directional filter combined with active learning for rare failure events33
A phase-field model for the brittle fracture of Euler–Bernoulli beams coupling stretching and bending33
Proper generalized decomposition in the context of minimum compliance topology optimization for problems with separable geometries32
Bayesian identification of nonseparable Hamiltonians with multiplicative noise using deep learning and reduced-order modeling32
A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics32
Reducing errors caused by geometrical inaccuracy to solve partial differential equations with moving frames on curvilinear domain32
Variational temporal convolutional networks for I-FENN thermoelasticity32
Time- and frequency-domain hybridizable discontinuous Galerkin solvers for the calculation of the Cherenkov radiation32
A study on the approximation power of NURBS and the significance of exact geometry in isogeometric pre-buckling analyses of shells32
Dual-horizon peridynamics modeling of coupled chemo-mechanical-damage for interface oxidation-induced cracking in thermal barrier coatings32
A mortar-based cavitation formulation using NURBS-based isogeometric analysis32
Accelerating phase-field predictions via recurrent neural networks learning the microstructure evolution in latent space32
Coupled sliding–decohesion–compression model for a consistent description of monotonic and fatigue behavior of material interfaces32
Uncertainty quantification of graph convolution neural network models of evolving processes32
DHRDE: Dual-population hybrid update and RPR mechanism based differential evolutionary algorithm for engineering applications32
Microstructure models for extreme material responses32
Topology optimization of two-scale hierarchical structures with high-cycle fatigue resistance32
Interpolatory tensorial reduced order models for parametric dynamical systems32
Computational modeling of capillary perfusion and gas exchange in alveolar tissue31
Mixed isogeometric collocation for geometrically exact 3D beams with elasto-visco-plastic material behavior and softening effects31
Concurrent topology optimization of sandwich structures with multi-configuration and variable-diameter lattice infill31
Towards validation of crack nucleation criteria from V-notches in quasi-brittle metallic alloys: Energetics or strength?31
Learning macroscopic equations of motion from dissipative particle dynamics simulations of fluids31
A surface flux correction-based immersed boundary-multiphase lattice Boltzmann flux solver applied to multiphase fluids–structure interaction31
A coupled virtual element-interface model for analysis of fracture propagation in polycrystalline composites31
High-order 3D virtual element method for linear and nonlinear elasticity31
Emulation of cardiac mechanics using Graph Neural Networks31
Application of proper orthogonal decomposition to flow fields around various geometries and reduced-order modeling31
SVD perspectives for augmenting DeepONet flexibility and interpretability30
A novel mesh regularization approach based on finite element distortion potentials: Application to material expansion processes with extreme volume change30
Reliability-based composite pressure vessel design optimization with cure-induced stresses and spatial material variability30
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