Two-Sided Robust and Sharp a Posteriori Error Estimates in Isogeometric Discretization of Elliptic Problems
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Publication:2790389
DOI10.1007/978-3-319-23315-4_10zbMath1334.65184OpenAlexW2417586711MaRDI QIDQ2790389
Stefan K. Kleiss, Satyendra Tomar
Publication date: 4 March 2016
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-23315-4_10
numerical examplefinite element methoda posteriori error estimatessecond-order elliptic equationisogeometric discretization
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
- B-spline goal-oriented error estimators for geometrically nonlinear rods
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- On linear independence of T-spline blending functions
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Goal-adaptive isogeometric analysis with hierarchical splines
- Isogeometric analysis using LR B-splines
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Isogeometric analysis in electromagnetics: B-splines approximation
- Isogeometric analysis using T-splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- Efficient quadrature for NURBS-based isogeometric analysis
- Parameterization of computational domain in isogeometric analysis: methods and comparison
- Discretizations in isogeometric analysis of Navier-Stokes flow
- Isogeometric fluid-structure interaction: Theory, algorithms, and computations
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A posteriori estimates for partial differential equations
- Studies of refinement and continuity in isogeometric structural analysis
- Polynomial splines over locally refined box-partitions
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- Isogeometric Discrete Differential Forms in Three Dimensions
- A Posteriori Error Estimates Based on Hierarchical Bases
- IsoGeometric Analysis: Stable elements for the 2D Stokes equation
- Isogeometric Analysis
- Mixed Finite Element Methods and Applications
- ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS
- A posteriori error estimation for variational problems with uniformly convex functionals
- Functional a posteriori error estimates for discontinuous Galerkin approximations of elliptic problems
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
