An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates

DOI10.1007/s00211-021-01246-zzbMath1478.65119OpenAlexW3211693741MaRDI QIDQ2055992

W. Dornisch, Joachim Stöckler

Publication date: 1 December 2021

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-021-01246-z

zbMATH Keywords

isogeometric analysisNURBSmortar finite element methodsecond order elliptic boundary value problems

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Patch-wise quadrature of trimmed surfaces in isogeometric analysis ⋮ Multipatch isogeometric analysis for geometrically exact shell elements using B-bar method and Bézier extraction ⋮ A comparison of smooth basis constructions for isogeometric analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contact modeling for solids and particles
• Isogeometric mortar methods
• Superconvergence in Galerkin finite element methods
• The mortar finite element method with Lagrange multipliers
• Optimal quadrature for univariate and tensor product splines
• 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
• Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry
• Isogeometric dual mortar methods for computational contact mechanics
• A Nitsche-type formulation and comparison of the most common domain decomposition methods in isogeometric analysis
• The weak substitution method - an application of the mortar method for patch coupling in NURBS-based isogeometric analysis
• The mortar element method for three dimensional finite elements
• Direct Methods in the Theory of Elliptic Equations
• Mathematical analysis of variational isogeometric methods
• A Multigrid Algorithm for the Mortar Finite Element Method
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Mixed Finite Element Methods and Applications
• A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis
• ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
• Discretization methods and iterative solvers based on domain decomposition

This page was built for publication: An isogeometric mortar method for the coupling of multiple NURBS domains with optimal convergence rates