Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic Problems
DOI10.1007/978-3-319-73441-5_5zbMath1465.65097OpenAlexW2781801092WikidataQ109594280 ScholiaQ109594280MaRDI QIDQ3297419
Ulrich Langer, Svetlana Matculevich, Sergey I. Repin
Publication date: 20 July 2020
Published in: Large-Scale Scientific Computing (Search for Journal in Brave)
Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201811164753
error controlfunctional error estimatesstabilised space-time IgA schemesfully-adaptive space-time schemes
Numerical computation using splines (65D07) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
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- Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation
- Accuracy verification methods. Theory and algorithms
- B-spline goal-oriented error estimators for geometrically nonlinear rods
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- THB-splines: The truncated basis for hierarchical splines
- Goal-adaptive isogeometric analysis with hierarchical splines
- Adaptive isogeometric analysis by local \(h\)-refinement with T-splines
- A posteriori estimates for partial differential equations
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Isogeometric analysis and error estimates for high order partial differential equations in fluid dynamics
- Guaranteed and sharp a posteriori error estimates in isogeometric analysis
- Simple a posteriori error estimators in adaptive isogeometric analysis
- Space-time isogeometric analysis of parabolic evolution problems
- A posteriori error estimates for approximate solutions of linear parabolic problems
- Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
- Space‐time oriented streamline diffusion methods for non‐linear conservation laws in one dimension
- A Convergent Adaptive Algorithm for Poisson’s Equation
- ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
