Mathematical analysis of variational isogeometric methods (Q4683914)

scientific article; zbMATH DE number 6944157

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English	Mathematical analysis of variational isogeometric methods	scientific article; zbMATH DE number 6944157

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instance of

scholarly article

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title

Mathematical analysis of variational isogeometric methods (English)

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author

Lourenco Beirão da Veiga

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26 September 2018

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describes a project that uses

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Swept Volume Parameterization for Isogeometric Analysis

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A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis

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Finite element exterior calculus, homological techniques, and applications

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Finite element exterior calculus: from Hodge theory to numerical stability

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The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations

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A fully ``locking-free'' isogeometric approach for plane linear elasticity problems: a stream function formulation

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ISOGEOMETRIC COLLOCATION METHODS

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A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis

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The generalized finite element method

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NURBS-based isogeometric analysis for the computation of flows about rotating components

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ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES

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Isogeometric analysis using T-splines

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Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows

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Isogeometric fluid-structure interaction: Theory, algorithms, and computations

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Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines

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3D simulation of wind turbine rotors at full scale. Part II: Fluid-structure interaction modeling with composite blades

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Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes

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Analysis-suitable T-splines are dual-compatible

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An isogeometric method for the Reissner-Mindlin plate bending problem

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Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis

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ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES

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Anisotropic NURBS approximation in isogeometric analysis

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Overlapping Schwarz Methods for Isogeometric Analysis

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BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS

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Isogeometric Schwarz preconditioners for linear elasticity systems

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A large deformation, rotation-free, isogeometric shell

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Approximation of eigenvalues in mixed form, discrete compactness property, and application to \(hp\) mixed finite elements

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Finite element approximation of eigenvalue problems

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Mixed Finite Element Methods and Applications

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Q4538004

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Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation

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A practical guide to splines.

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Isogeometric finite element data structures based on Bézier extraction of NURBS

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Parallel Multilevel Preconditioners

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Isogeometric regular discretization for the Stokes problem

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Some properties of LR-splines

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Isogeometric discretizations of the Stokes problem: stability analysis by the macroelement technique

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Characterization of T-splines with reduced continuity order on T-meshes

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Linear independence of the T-spline blending functions associated with some particular T-meshes

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Algebraic convergence for anisotropic edge elements in polyhedral domains

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IsoGeometric Analysis: Stable elements for the 2D Stokes equation

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BPX-preconditioning for isogeometric analysis

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Isogeometric Discrete Differential Forms in Three Dimensions

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Exponential Convergence of the hp Version of Isogeometric Analysis in 1D

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Isogeometric analysis in electromagnetics: B-splines approximation

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Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations

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Q2778914

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Rates of convergence of control polygons

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A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines

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Analysis-aware modeling: understanding quality considerations in modeling for isogeometric analysis

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Q2742804

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The Cost of Continuity: Performance of Iterative Solvers on Isogeometric Finite Elements

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The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers

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Studies of refinement and continuity in isogeometric structural analysis

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Isogeometric Analysis

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Isogeometric analysis of structural vibrations

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An isogeometric analysis approach for the study of the gyrokinetic quasi-neutrality equation

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Multilevel preconditioning

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A large deformation frictional contact formulation using NURBS-based isogeometric analysis

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Isogeometric large deformation frictionless contact using T-splines

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Polynomial splines over locally refined box-partitions

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Adaptive isogeometric analysis by local \(h\)-refinement with T-splines

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Numerical efficiency, locking and unlocking of NURBS finite elements

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\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements

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ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS

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ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS

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Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations

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\(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method

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\textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs

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Algebraic multilevel preconditioning in isogeometric analysis: construction and numerical studies

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On the spectrum of stiffness matrices arising from isogeometric analysis

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Bases and dimensions of bivariate hierarchical tensor-product splines

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THB-splines: The truncated basis for hierarchical splines

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Isogeometric analysis of the Cahn-Hilliard phase-field model

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Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations

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Convergence of an efficient local least-squares fitting method for bases with compact support

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Finite elements in computational electromagnetism

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An isogeometric solid-like shell element for nonlinear analysis

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems

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Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS

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Efficient quadrature for NURBS-based isogeometric analysis

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Isogeometric analysis using LR B-splines

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GPU accelerated computation of the isogeometric analysis stiffness matrix

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On the poisson equation with intersecting interfaces

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The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches

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Isogeometric shell analysis with Kirchhoff-Love elements

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IETI -- isogeometric tearing and interconnecting

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Q4938089

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Spline Functions on Triangulations

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Q2754298

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Analysis-suitable T-splines: Characterization, refineability, and approximation

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On linear independence of T-spline blending functions

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Robustness of isogeometric structural discretizations under severe mesh distortion

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BPX‐type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere

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Exploring Matrix Generation Strategies in Isogeometric Analysis

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Volumetric parameterization and trivariate B-spline fitting using harmonic functions

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Fully discrete \(hp\)-finite elements: Fast quadrature

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Finite Element Methods for Maxwell's Equations

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Convergence of Adaptive Finite Element Methods

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Mixed finite elements in \(\mathbb{R}^3\)

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Nitsche's method for two and three dimensional NURBS patch coupling

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Regularity results for Laplace interface problems in two dimensions

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An elementary proof for a compact imbedding result in generalized electromagnetic theory

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Q2785470

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An arbitrary high-order spline finite element solver for the time domain Maxwell equations

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Subdivision-stabilised immersed b-spline finite elements for moving boundary flows

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

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An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces

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Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

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Q3592409

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Isogeometric finite element data structures based on Bézier extraction of T-splines

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Local refinement of analysis-suitable T-splines

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Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants

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Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems

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Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis

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Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS

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A hierarchical approach to adaptive local refinement in isogeometric analysis

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Isogeometric structural shape optimization

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Converting an unstructured quadrilateral mesh to a standard T-spline surface

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Parameterization of computational domain in isogeometric analysis: methods and comparison

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Solid T-spline construction from boundary representations for genus-zero geometry

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Identifiers

zbMATH Open document ID

1398.65287

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DOI

10.1017/S096249291400004X

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Mathematics Subject Classification ID

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journals/actanum/VeigaBSV14

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Sitelinks

Mathematics(1 entry)

mardi Publication:4683914