Convergence estimates for a plane elasticity problem solved by the Galerkin boundary integral formulation with NURBS
DOI10.1016/j.camwa.2017.04.021zbMath1457.65233OpenAlexW2612393607MaRDI QIDQ2406273
Publication date: 27 September 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.04.021
Numerical computation using splines (65D07) Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) 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) Boundary element methods for boundary value problems involving PDEs (65N38) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
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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
- Anisotropic NURBS approximation in isogeometric analysis
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- Acoustic isogeometric boundary element analysis
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Efficient quadrature for NURBS-based isogeometric analysis
- \(n\)-widths, sup-infs, and optimality ratios for the \(k\)-version of the isogeometric finite element method
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Studies of refinement and continuity in isogeometric structural analysis
- Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
- Integral equations with non integrable kernels
- On \(hp\)-error estimation in the BEM for a three-dimensional Helmholtz exterior problem
- Isogeometric shape design sensitivity analysis of elasticity problems using boundary integral equations
- Evaluation of nearly singular integrals in isogeometric boundary element method
- Fast isogeometric boundary element method based on independent field approximation
- Selective and reduced numerical integrations for NURBS-based isogeometric analysis
- A NURBS-based immersed methodology for fluid-structure interaction
- Isogeometric analysis: an overview and computer implementation aspects
- A natural framework for isogeometric fluid-structure interaction based on BEM-shell coupling
- An isogeometric symmetric Galerkin boundary element method for two-dimensional crack problems
- Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow
- A performance study of NURBS-based isogeometric analysis for interior two-dimensional time-harmonic acoustics
- A NURBS based Galerkin approach for the analysis of solids in boundary representation
- Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
- Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations
- NURBS-based parametric mesh-free methods
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
