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Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

https://doi.org/10.1016/j.cma.2013.10.009
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Isogeometric Discrete Differential Forms in Three Dimensions
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Matrix Computations

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Vibration and buckling analyses of FGM plates with multiple internal defects using XIGA-PHT and FCM under thermal and mechanical loads
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Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM
inferred← citeshttps://doi.org/10.1016/j.apm.2022.11.032openalex-snapshot
An enhanced extended isogeometric analysis with strong imposition of essential boundary conditions for crack problems using B++ splines
inferred← citeshttps://doi.org/10.1016/j.applthermaleng.2022.118600openalex-snapshot
An isogeometric boundary element method for transient heat transfer problems in inhomogeneous materials and the non-iterative inversion of loads
inferred← citeshttps://doi.org/10.1016/j.cad.2019.05.012openalex-snapshot
Isogeometric Segmentation via Midpoint Subdivision Suitable Solids
inferred← citeshttps://doi.org/10.1016/j.cad.2024.103733openalex-snapshot
Isogeometric Topology Optimization of Multi-patch Shell Structures
inferred← citeshttps://doi.org/10.1016/j.cad.2026.104154openalex-snapshot
G1 transfinite interpolation Coons surfaces allowing T-junctions
inferred← citeshttps://doi.org/10.1016/j.cad.2026.104171openalex-snapshot
An embedded isogeometric analysis method based on boundary adaptive segmentation scheme
inferred← citeshttps://doi.org/10.1016/j.cagd.2016.02.007openalex-snapshot
Direct immersogeometric fluid flow analysis using B-rep CAD models
inferred← citeshttps://doi.org/10.1016/j.cagd.2019.05.001openalex-snapshot
A NURBS-based finite cell method for structural topology optimization under geometric constraints
inferred← citeshttps://doi.org/10.1016/j.cagd.2020.101847openalex-snapshot
Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches
inferred← citeshttps://doi.org/10.1016/j.camwa.2015.04.002openalex-snapshot
An interactive geometry modeling and parametric design platform for isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.camwa.2015.04.004openalex-snapshot
Isogeometric analysis with geometrically continuous functions on two-patch geometries
inferred← citeshttps://doi.org/10.1016/j.camwa.2015.06.012openalex-snapshot
Weak Dirichlet boundary conditions for trimmed thin isogeometric shells
inferred← citeshttps://doi.org/10.1016/j.camwa.2016.07.039openalex-snapshot
Discontinuous Galerkin Isogeometric Analysis of elliptic problems on segmentations with non-matching interfaces
inferred← citeshttps://doi.org/10.1016/j.camwa.2018.03.032openalex-snapshot
A note on the stability parameter in Nitsche’s method for unfitted boundary value problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2020.03.026openalex-snapshot
Error-estimate-based adaptive integration for immersed isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.camwa.2020.09.016openalex-snapshot
Imposing nonlocal boundary conditions in Galerkin-type methods based on non-interpolatory functions
inferred← citeshttps://doi.org/10.1016/j.camwa.2026.09.035openalex-snapshot
Acoustic simulation based on multi-view images: A 3DGS-enhanced boundary element method
inferred← citeshttps://doi.org/10.1016/j.cma.2014.04.008openalex-snapshot
Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2014.08.002openalex-snapshot
On the numerical integration of trimmed isogeometric elements
inferred← citeshttps://doi.org/10.1016/j.cma.2014.09.012openalex-snapshot
Isogeometric mortar methods
inferred← citeshttps://doi.org/10.1016/j.cma.2014.09.032openalex-snapshot
Isogeometric collocation for phase-field fracture models
inferred← citeshttps://doi.org/10.1016/j.cma.2014.09.033openalex-snapshot
Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures
inferred← citeshttps://doi.org/10.1016/j.cma.2014.10.040openalex-snapshot
An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves
inferred← citeshttps://doi.org/10.1016/j.cma.2014.11.014openalex-snapshot
Nitsche’s method for a coupling of isogeometric thin shells and blended shell structures
inferred← citeshttps://doi.org/10.1016/j.cma.2015.03.017openalex-snapshot
Stable time step estimates for NURBS-based explicit dynamics
inferred← citeshttps://doi.org/10.1016/j.cma.2015.07.024openalex-snapshot
A gradient-based shape optimization scheme using an interface-enriched generalized FEM
inferred← citeshttps://doi.org/10.1016/j.cma.2015.11.007openalex-snapshot
Local enrichment of NURBS patches using a non-intrusive coupling strategy: Geometric details, local refinement, inclusion, fracture
inferred← citeshttps://doi.org/10.1016/j.cma.2015.12.015openalex-snapshot
Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
inferred← citeshttps://doi.org/10.1016/j.cma.2016.03.019openalex-snapshot
A NURBS based Galerkin approach for the analysis of solids in boundary representation
inferred← citeshttps://doi.org/10.1016/j.cma.2016.05.037openalex-snapshot
Development of a new, more regular, mortar method for the coupling of NURBS subdomains within a NURBS patch: Application to a non-intrusive local enrichment of NURBS patches
inferred← citeshttps://doi.org/10.1016/j.cma.2016.06.022openalex-snapshot
A robust patch coupling method for NURBS-based isogeometric analysis of non-conforming multipatch surfaces
inferred← citeshttps://doi.org/10.1016/j.cma.2016.06.026openalex-snapshot
The non-symmetric Nitsche method for the parameter-free imposition of weak boundary and coupling conditions in immersed finite elements
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.006openalex-snapshot
Condition number analysis and preconditioning of the finite cell method
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.027openalex-snapshot
Mixed Isogeometric Finite Cell Methods for the Stokes problem
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.038openalex-snapshot
Dual and approximate dual basis functions for B-splines and NURBS – Comparison and application for an efficient coupling of patches with the isogeometric mortar method
inferred← citeshttps://doi.org/10.1016/j.cma.2016.07.041openalex-snapshot
Geometrically accurate, efficient, and flexible quadrature techniques for the tetrahedral finite cell method
inferred← citeshttps://doi.org/10.1016/j.cma.2016.09.033openalex-snapshot
An isogeometric method for linear nearly-incompressible elasticity with local stress projection
inferred← citeshttps://doi.org/10.1016/j.cma.2016.11.012openalex-snapshot
Shape optimization directly from CAD: An isogeometric boundary element approach using T-splines
inferred← citeshttps://doi.org/10.1016/j.cma.2016.12.002openalex-snapshot
Isogeometric analysis of large-deformation thin shells using RHT-splines for multiple-patch coupling
inferred← citeshttps://doi.org/10.1016/j.cma.2017.03.031openalex-snapshot
Hierarchic isogeometric large rotation shell elements including linearized transverse shear parametrization
inferred← citeshttps://doi.org/10.1016/j.cma.2017.04.007openalex-snapshot
Non-uniform rational Lagrange functions and its applications to isogeometric analysis of in-plane and flexural vibration of thin plates
inferred← citeshttps://doi.org/10.1016/j.cma.2017.06.018openalex-snapshot
Cut finite element methods for elliptic problems on multipatch parametric surfaces
inferred← citeshttps://doi.org/10.1016/j.cma.2017.07.022openalex-snapshot
A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff–Love shells
inferred← citeshttps://doi.org/10.1016/j.cma.2017.08.004openalex-snapshot
An IGA Discontinuous Galerkin Method on the union of overlapped patches
inferred← citeshttps://doi.org/10.1016/j.cma.2017.08.032openalex-snapshot
Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes
inferred← citeshttps://doi.org/10.1016/j.cma.2017.08.033openalex-snapshot
A Nitsche method for elliptic problems on composite surfaces
inferred← citeshttps://doi.org/10.1016/j.cma.2017.09.032openalex-snapshot
Residual error based adaptive mesh refinement with the non-intrusive patch algorithm
inferred← citeshttps://doi.org/10.1016/j.cma.2018.01.015openalex-snapshot
A scaled boundary isogeometric formulation for the elasto-plastic analysis of solids in boundary representation
inferred← citeshttps://doi.org/10.1016/j.cma.2018.01.023openalex-snapshot
Isogeometric Bézier dual mortaring: Refineable higher-order spline dual bases and weakly continuous geometry
inferred← citeshttps://doi.org/10.1016/j.cma.2018.02.027openalex-snapshot
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
inferred← citeshttps://doi.org/10.1016/j.cma.2018.02.029openalex-snapshot
Embedded shell finite elements: Solid–shell interaction, surface locking, and application to image-based bio-structures
inferred← citeshttps://doi.org/10.1016/j.cma.2018.04.013openalex-snapshot
Adaptive multi-patch isogeometric analysis based on locally refined B-splines
inferred← citeshttps://doi.org/10.1016/j.cma.2018.05.022openalex-snapshot
A Nitsche-based non-intrusive coupling strategy for global/local isogeometric structural analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2018.05.024openalex-snapshot
Skew-symmetric Nitsche’s formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact
inferred← citeshttps://doi.org/10.1016/j.cma.2018.07.002openalex-snapshot
An interpolation method for coupling non-conforming patches in isogeometric analysis of vibro-acoustic systems
inferred← citeshttps://doi.org/10.1016/j.cma.2018.07.011openalex-snapshot
Non-overlapping domain decomposition solution schemes for structural mechanics isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.030openalex-snapshot
Preconditioning immersed isogeometric finite element methods with application to flow problems
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.035openalex-snapshot
Weak impositions of Dirichlet boundary conditions in solid mechanics: A critique of current approaches and extension to partially prescribed boundaries
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.039openalex-snapshot
Rotation-free Bernstein–Bézier elements for thin plates and shells — development and validation
inferred← citeshttps://doi.org/10.1016/j.cma.2019.04.016openalex-snapshot
Explicit dynamic isogeometric B-Rep analysis of penalty-coupled trimmed NURBS shells
inferred← citeshttps://doi.org/10.1016/j.cma.2019.04.017openalex-snapshot
Integrating CAD and numerical analysis: ‘Dirty geometry’ handling using the Finite Cell Method
inferred← citeshttps://doi.org/10.1016/j.cma.2019.07.010openalex-snapshot
Overlapping multi-patch structures in isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2019.112630openalex-snapshot
The INTERNODES method for the treatment of non-conforming multipatch geometries in Isogeometric Analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2019.112747openalex-snapshot
Weak coupling of nonlinear isogeometric spatial Bernoulli beams
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113050openalex-snapshot
Efficient cut-cell quadrature based on moment fitting for materially nonlinear analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113104openalex-snapshot
A posteriori error estimation and adaptivity in non-intrusive couplings between concurrent models
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113112openalex-snapshot
Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113219openalex-snapshot
Isogeometric continuity constraints for multi-patch shells governed by fourth-order deformation and phase field models
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113403openalex-snapshot
Multipatch isogeometric mortar methods for thick shells
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113519openalex-snapshot
Parametric stitching for smooth coupling of subdomains with non-matching discretizations
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113544openalex-snapshot
Nitsche’s method for linear Kirchhoff–Love shells: Formulation, error analysis, and verification
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113688openalex-snapshot
A priori penalty factor determination for (trimmed) NURBS-based shells with Dirichlet and coupling constraints in isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113769openalex-snapshot
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113771openalex-snapshot
Isogeometric multi-patch analyses for mixed thin shells in the framework of non-linear elasticity
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113817openalex-snapshot
Efficient computation of nonlinear isogeometric elements using the adjoint method and algorithmic differentiation
inferred← citeshttps://doi.org/10.1016/j.cma.2021.113926openalex-snapshot
Isogeometric schemes in rarefied gas dynamics context
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114005openalex-snapshot
Blended isogeometric Kirchhoff–Love and continuum shells
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114017openalex-snapshot
Construction of approximate C1 bases for isogeometric analysis on two-patch domains
inferred← citeshttps://doi.org/10.1016/j.cma.2021.114220openalex-snapshot
Discontinuous Galerkin methods through the lens of variational multiscale analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2022.114648openalex-snapshot
Topology-preserving scan-based immersed isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115135openalex-snapshot
Isogeometric topology optimization of strain gradient materials
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115555openalex-snapshot
Feature-aware reconstruction of trimmed splines using Ricci flow with metric optimization
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115742openalex-snapshot
Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds
inferred← citeshttps://doi.org/10.1016/j.cma.2022.115856openalex-snapshot
Immersed isogeometric analysis based on a hybrid collocation/finite cell method
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116039openalex-snapshot
Multipatch isogeometric analysis for geometrically exact shell elements using B-bar method and Bézier extraction
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116316openalex-snapshot
Kirchhoff–Love shell representation and analysis using triangle configuration B-splines
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116397openalex-snapshot
Fast immersed boundary method based on weighted quadrature
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116426openalex-snapshot
Volumetric embedded entities for the IsoGeometric Analysis of complex structures
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116659openalex-snapshot
A comparison of smooth basis constructions for isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117081openalex-snapshot
A new meshfree variational multiscale (VMS) method for essential boundary conditions
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117327openalex-snapshot
An optimally convergent Fictitious Domain method for interface problems
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117407openalex-snapshot
The Immersed Boundary Conformal Method for Kirchhoff–Love and Reissner–Mindlin shells
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117582openalex-snapshot
Multi-patch Isogeometric convolution hierarchical deep-learning neural network
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118124openalex-snapshot
Robust trimmed multipatch IGA with singular maps
inferred← citeshttps://doi.org/10.1016/j.cma.2025.118700openalex-snapshot
A data-driven approach to cut-cell quadrature using spline interpolation
inferred← citeshttps://doi.org/10.1016/j.cma.2026.118727openalex-snapshot
Generalized Eigenvalue stabilization for immersed explicit dynamics
inferred← citeshttps://doi.org/10.1016/j.cma.2026.119180openalex-snapshot
Immersed boundary-conformal isogeometric methods for magnetostatics
inferred← citeshttps://doi.org/10.1016/j.compfluid.2014.07.002openalex-snapshot
Isogeometric Analysis and error estimates for high order partial differential equations in fluid dynamics
inferred← citeshttps://doi.org/10.1016/j.compfluid.2015.08.027openalex-snapshot
The tetrahedral finite cell method for fluids: Immersogeometric analysis of turbulent flow around complex geometries
inferred← citeshttps://doi.org/10.1016/j.compgeo.2020.103874openalex-snapshot
Numerical simulation of strain localization based on Cosserat continuum theory and isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.compgeo.2022.104637openalex-snapshot
A CutFEM based framework for numerical simulations of machine driven tunnels with arbitrary alignments
inferred← citeshttps://doi.org/10.1016/j.compstruc.2021.106594openalex-snapshot
Space-Time Isogeometric Analysis for linear and non-linear elastodynamics
inferred← citeshttps://doi.org/10.1016/j.compstruc.2023.107270openalex-snapshot
Trimming with polygonal scaled boundary isogeometric method
inferred← citeshttps://doi.org/10.1016/j.compstruc.2024.107387openalex-snapshot
Asymptotically accurate and locking-free finite element implementation of first order shear deformation theory for plates
inferred← citeshttps://doi.org/10.1016/j.compstruct.2014.05.006openalex-snapshot
A contact extended isogeometric layerwise approach for the buckling analysis of delaminated composites
inferred← citeshttps://doi.org/10.1016/j.compstruct.2015.01.012openalex-snapshot
A layerwise isogeometric approach for NURBS-derived laminate composite shells
inferred← citeshttps://doi.org/10.1016/j.compstruct.2017.03.067openalex-snapshot
Size-dependent analysis of homogeneous and functionally graded microplates using IGA and a non-classical Kirchhoff plate theory
inferred← citeshttps://doi.org/10.1016/j.compstruct.2017.05.069openalex-snapshot
Global-local model coupling for composite shell structures in the framework of isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.compstruct.2018.08.095openalex-snapshot
Analysis of isotropic and composite laminated plates and shells using a differential quadrature hierarchical finite element method
inferred← citeshttps://doi.org/10.1016/j.compstruct.2019.04.054openalex-snapshot
Isogeometric HSDT approach for dynamic stability analysis of general anisotropic composite plates
inferred← citeshttps://doi.org/10.1016/j.enganabound.2023.05.040openalex-snapshot
A novel isogeometric scaled boundary finite element method for bending and free vibration analyses of laminated plates with rectilinear and curvilinear fibers constrained or free from elastic foundations
inferred← citeshttps://doi.org/10.1016/j.enganabound.2024.106101openalex-snapshot
Multi-patch IGA associated with Nitsche’s method for morphogenesis of complex free-form surface
inferred← citeshttps://doi.org/10.1016/j.enganabound.2025.106245openalex-snapshot
A hybrid-dimensional modeling method for the vibration of embedding 1D rotation-free beam into 3D solid under rotating scenarios
inferred← citeshttps://doi.org/10.1016/j.engstruct.2021.113602openalex-snapshot
Isogeometric model reconstruction of open shells via Ricci flow and quadrilateral layout-inducing energies
inferred← citeshttps://doi.org/10.1016/j.finel.2019.01.003openalex-snapshot
Space/time global/local noninvasive coupling strategy: Application to viscoplastic structures
inferred← citeshttps://doi.org/10.1016/j.finel.2019.01.009openalex-snapshot
Robust and parallel scalable iterative solutions for large-scale finite cell analyses
inferred← citeshttps://doi.org/10.1016/j.finel.2023.104043openalex-snapshot
A robust and generalized effective DAE framework encompassing different methods, algorithms, and model order reduction for linear and nonlinear second order dynamical systems
inferred← citeshttps://doi.org/10.1016/j.finel.2023.104086openalex-snapshot
Geometrically nonlinear analysis of Reissner–Mindlin plates using multi-patch isogeometric analysis based on Nitsche’s method
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109266openalex-snapshot
Phase-field modelling of fracture in viscoelastic composite using isogeometric FCM
inferred← citeshttps://doi.org/10.1016/j.jcp.2017.03.040openalex-snapshot
Variational boundary conditions based on the Nitsche method for fitted and unfitted isogeometric discretizations of the mechanically coupled Cahn–Hilliard equation
inferred← citeshttps://doi.org/10.1016/j.matcom.2015.05.008openalex-snapshot
Isogeometric analysis: An overview and computer implementation aspects
inferred← citeshttps://doi.org/10.1016/j.tafmec.2026.105496openalex-snapshot
A multi-patch isogeometric phase field approach for ductile fracture
inferred← citeshttps://doi.org/10.1016/j.tws.2023.110757openalex-snapshot
IsoGeometric Analysis with non-conforming multi-patches for the hull structural mechanical analysis
inferred← citeshttps://doi.org/10.1016/j.tws.2025.114180openalex-snapshot
Underwater acoustic simulation from multi-view sonar images: A NeuS-assisted boundary element approach
inferred← citeshttps://doi.org/10.1017/s096249291400004xopenalex-snapshot
Mathematical analysis of variational isogeometric methods
inferred← citeshttps://doi.org/10.1049/iet-sen.2017.0222openalex-snapshot
Simulation research for telecommunication data mining based on mobile information node
inferred← citeshttps://doi.org/10.1063/5.0152690openalex-snapshot
Current progress toward isogeometric modeling of the heart biophysics
inferred← citeshttps://doi.org/10.1080/00036811.2019.1698724openalex-snapshot
Discontinuous Galerkin isogeometric analysis for segmentations generating overlapping regions
inferred← citeshttps://doi.org/10.1093/jcde/qwab070openalex-snapshot
Two-dimensional frictionless large deformation contact problems using isogeometric analysis and Nitsche’s method
inferred← citeshttps://doi.org/10.1093/jom/ufac006openalex-snapshot
An accurate strategy for computing reaction forces and fluxes on trimmed locally refined meshes
inferred← citeshttps://doi.org/10.1093/jom/ufac015openalex-snapshot
Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines
inferred← citeshttps://doi.org/10.1109/iv-2.2019.00037openalex-snapshot
Volume Completion for Trimmed B-Reps
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