Goal-oriented mesh adaptation for flux-limited approximations to steady hyperbolic problems
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Publication:961534
DOI10.1016/j.cam.2009.07.026zbMath1252.76046OpenAlexW2162077156MaRDI QIDQ961534
Matthias Möller, Dmitri Kuzmin
Publication date: 31 March 2010
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.2009.07.026
a posteriori error estimatesduality argumentflux limitinggoal-oriented mesh adaptationsteady transport equations
Related Items (3)
Goal-based h-adaptivity of the 1-D diamond difference discrete ordinate method ⋮ On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates ⋮ A nonlinear consistent penalty method weakly enforcing positivity in the finite element approximation of the transport equation
Cites Work
- On the design of general-purpose flux limiters for finite element schemes. I: Scalar convection
- Non-oscillatory third order fluctuation splitting schemes for steady scalar conservation laws
- Goal-oriented a posteriori error estimates for transport problems
- Goal-oriented \(hp\)-adaptivity for elliptic problems.
- An optimal control approach to a posteriori error estimation in finite element methods
- On adaptive timestepping for weakly instationary solutions of hyperbolic conservation laws via adjoint error control
- Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
- A simple error estimator and adaptive procedure for practical engineerng analysis
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Goal-oriented error control of the iterative solution of finite element equations
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