A generalized isogeometric analysis of elliptic eigenvalue and source problems with an interface
DOI10.1016/j.cam.2021.114053zbMath1493.65240OpenAlexW4200214299MaRDI QIDQ2075966
Xin Li, Quanling Deng, Jicheng Zhang
Publication date: 16 February 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.114053
Numerical computation using splines (65D07) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) 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) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Immersed finite element method for eigenvalue problem
- Stable generalized finite element method (SGFEM)
- Anisotropic NURBS approximation in isogeometric analysis
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- The extended finite element method for two-phase and free-surface flows: a systematic study
- Higher order stable generalized finite element method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Shear-band capturing using a multiscale extended digital image correlation technique
- A practical guide to splines
- A computational approach to handle complex microstructure geometries.
- Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem
- Stable generalized iso-geometric analysis (SGIGA) for problems with discontinuities and singularities
- Fracture modeling with the adaptive XIGA based on locally refined B-splines
- Orthogonalized generalized iso-geometric analysis (OGIGA) and its applications to problems of fracture mechanics
- On the application of stable generalized finite element method for quasilinear elliptic two-point BVP
- A boundary penalization technique to remove outliers from isogeometric analysis on tensor-product meshes
- SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators
- Higher order stable generalized finite element method for the elliptic eigenvalue and source problems with an interface in 1D
- A stable generalized finite element method (SGFEM) of degree two for interface problems
- Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem. II: A simplified algorithm
- Strongly stable generalized finite element method: application to interface problems
- Stable generalized finite element method (SGFEM) for parabolic interface problems
- The conversion matrix between uniform B-spline and Bézier representations
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- Approximation error estimates and inverse inequalities for B-splines of maximum smoothness
- X-FEM in isogeometric analysis for linear fracture mechanics
- The extended/generalized finite element method: An overview of the method and its applications
- A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM
- THE PARTITION OF UNITY METHOD
- Isogeometric Analysis
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
- The generalized finite element method
