Comparison of hp-adaptive error estimates for second order hyperbolic systems
DOI10.1515/JNUM.2010.001zbMath1191.65123OpenAlexW1980017336MaRDI QIDQ3564647
Publication date: 26 May 2010
Published in: Journal of Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jnum.2010.001
numerical resultswave equationfinite element methodlumped massesa posteriori error estimationsystem of second-order ordinary differential equationssecond-order hyperbolic systems\(hp\)-adaptive refinementexplicit Runge-Kutta-Nyström method
Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Second-order hyperbolic systems (35L51)
Cites Work
- Runge-Kutta-Nyström triples
- A posteriori error estimation with finite element methods of lines for one-dimensional parabolic systems
- Integrated space-time adaptive \(hp\)-refinement methods for parabolic systems
- Applications of Lobatto polynomials to an adaptive finite element method: A posteriori error estimates for \(hp\)-adaptivity and grid-to-grid interpolation
- Interpolation error-based a posteriori error estimation for \(hp\)-refinement using first and second derivative jumps.
- A posteriori finite element error estimation for second-order hyperbolic problems.
- Comparison of adaptive methods for one-dimensional parabolic systems
- A posteriori error estimation for the method of lumped masses applied to second-order hyperbolic problems
- Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
- High-Order Embedded Runge-Kutta-Nystrom Formulae
- Algorithm 670: a Runge-Kutta-Nyström code
- An implicit interpolation error-based error estimation strategy for hp-adaptivity in one space dimension
This page was built for publication: Comparison of hp-adaptive error estimates for second order hyperbolic systems