SoftIGA: soft isogeometric analysis
DOI10.1016/j.cma.2022.115705OpenAlexW4307406638MaRDI QIDQ2679456
Quanling Deng, Pouria Behnoudfar, Victor Manuel Calo
Publication date: 20 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.02668
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
- Analytical solutions to some generalized and polynomial eigenvalue problems
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Weak Dirichlet boundary conditions for wall-bounded turbulent flows
- Functional analysis, Sobolev spaces and partial differential equations
- On the Markov inequality in \(L^ p\)-spaces
- Optimal spectral approximation of \(2 n\)-order differential operators by mixed isogeometric analysis
- Dispersion-minimized mass for isogeometric analysis
- Application of optimal spline subspaces for the removal of spurious outliers in isogeometric discretizations
- New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements
- Isogeometric analysis: an overview and computer implementation aspects
- 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
- Removal of spurious outlier frequencies and modes from isogeometric discretizations of second- and fourth-order problems in one, two, and three dimensions
- Dispersion-optimized quadrature rules for isogeometric analysis: modified inner products, their dispersion properties, and optimally blended schemes
- Dispersion-minimizing quadrature rules for \(C^1\) quadratic isogeometric analysis
- Spectral approximation properties of isogeometric analysis with variable continuity
- The use of the local truncation error to improve arbitrary-order finite elements for the linear wave and heat equations
- Optimal spline spaces for \(L^2\ n\)-width problems with boundary conditions
- Generalization of the Pythagorean eigenvalue error theorem and its application to isogeometric analysis
- Dispersion optimized quadratures for isogeometric analysis
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- Ritz-type projectors with boundary interpolation properties and explicit spline error estimates
- Functions of Difference Matrices Are Toeplitz Plus Hankel
- Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration
- Isogeometric Analysis
- Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number
- Sharp error estimates for spline approximation: Explicit constants, n-widths, and eigenfunction convergence
- A practical guide to splines.
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