Isogeometric analysis for second order partial differential equations on surfaces
type: Item
instance of: scholarly article
title: Isogeometric analysis for second order partial differential equations on surfaces
zbMATH Open document ID: 1425.65156
author: Luca Dedé
author: Alfio Quarteroni
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-10-22T00:00:00Z
full work available at URL: http://hdl.handle.net/11311/1002683
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 58J99
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6960562
zbMATH Keywords: second order partial differential equations
zbMATH Keywords: manifolds
zbMATH Keywords: surfaces
zbMATH Keywords: Laplace-Beltrami operator
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: a priori error estimation
MaRDI profile type: Publication
OpenAlex ID: W2159994350
Wikidata QID: Q56995854
cites work: A Panoramic View of Riemannian Geometry
cites work: Dynamics of Biomembranes: Effect of the Bulk Fluid
cites work: Fourth order partial differential equations on general geometries
cites work: Eulerian finite element method for parabolic PDEs on implicit surfaces
cites work: PDE's on surfaces -- a diffusive interface approach
cites work: Q5722857
cites work: Q4162607
cites work: Q3566755
cites work: Q4303980
cites work: Q3814727
cites work: Geometrically Consistent Mesh Modification
cites work: AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property
cites work: Variational problems and partial differential equations on implicit surfaces
cites work: Q2785470
cites work: Isogeometric Analysis
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
cites work: Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
cites work: \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
cites work: Isogeometric analysis for topology optimization with a phase field model
cites work: Isogeometric analysis of the Cahn-Hilliard phase-field model
cites work: Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow
cites work: Isogeometric shell analysis: the Reissner-Mindlin shell
cites work: Q4530300
cites work: Isogeometric boundary element analysis using unstructured T-splines
cites work: Q4492806
cites work: A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
cites work: Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
cites work: Shapes and geometries. Analysis, differential calculus, and optimization
cites work: Q4360235
cites work: Interpolation theory over curved elements, with applications to finite element methods
cites work: Q3152408
cites work: On the Cahn–Hilliard Equation with Degenerate Mobility
cites work: The Surface Diffusion Flow for Immersed Hypersurfaces
cites work: A stabilized finite element method for advection-diffusion equations on surfaces
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Q4210921
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
cites work: A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
cites work: Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem
cites work: Stabilized finite element methods. I.: Application to the advective- diffusive model
cites work: Q3434972
cites work: Anisotropic NURBS approximation in isogeometric analysis
cites work: Q5186672
cites work: Q4404383
cites work: Finite element approximation of eigenvalue problems
DOI: 10.1016/J.CMA.2014.11.008
description: scientific article; zbMATH DE number 6960562