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The variational collocation method (Q2308616)

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Language	Label	Description	Also known as
English	The variational collocation method	scientific article

Statements

scholarly article

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The variational collocation method (English)

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zbMATH Open document ID

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10.1016/j.cma.2016.06.003

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Computer Methods in Applied Mechanics and Engineering

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publication date

3 April 2020

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

variational collocation

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isogeometric analysis

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Galerkin method

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collocation method

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meshfree method

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Héctor J. Gómez

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Laura De Lorenzis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2016.06.003

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Spectral Methods

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A collocated<i>C</i><sup>0</sup>finite element method: Reduced quadrature perspective, cost comparison with standard finite elements, and explicit structural dynamics

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

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Isogeometric Analysis

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Isogeometric analysis using T-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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Robustness of isogeometric structural discretizations under severe mesh distortion

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

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ISOGEOMETRIC COLLOCATION METHODS

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Isogeometric collocation for elastostatics and explicit dynamics

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Isogeometric collocation using analysis-suitable T-splines of arbitrary degree

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Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models

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An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates

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Isogeometric collocation: Neumann boundary conditions and contact

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Isogeometric collocation for large deformation elasticity and frictional contact problems

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

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Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods

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Isogeometric shell analysis with Kirchhoff-Love 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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A fully ``locking-free'' isogeometric approach for plane linear elasticity problems: a stream function formulation

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NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

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Isogeometric analysis of a dynamic thermo-mechanical phase-field model applied to shape memory alloys

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

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Liquid-vapor phase transition: thermomechanical theory, entropy stable numerical formulation, and boiling simulations

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A review on phase-field models of brittle fracture and a new fast hybrid formulation

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An unconditionally energy-stable method for the phase field crystal equation

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Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations

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Isogeometric large deformation frictionless contact using T-splines

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A mortar formulation for 3D large deformation contact using NURBS-based isogeometric analysis and the augmented Lagrangian method

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

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An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves

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A NURBS-based immersed methodology for fluid-structure interaction

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Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations

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Optimal stress locations in finite element models

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Superconvergence in the generalized finite element method

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Superconvergence in Galerkin finite element methods

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An isogeometric collocation method using superconvergent points

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

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Remarks on rate constitutive equations for finite deformation problems: Computational implications

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Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis

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Efficient quadrature for NURBS-based isogeometric analysis

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A practical guide to splines

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Sitelinks

Mathematics(1 entry)

mardi Publication:2308616

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