Error boundedness of discontinuous Galerkin methods with variable coefficients
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Publication:2316189
DOI10.1007/s10915-018-00902-1zbMath1418.65161arXiv1806.02018OpenAlexW3105860021WikidataQ128621483 ScholiaQ128621483MaRDI QIDQ2316189
Philipp Öffner, Hendrik Ranocha
Publication date: 26 July 2019
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.02018
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (13)
Summation-by-Parts Operators for General Function Spaces ⋮ Lax-Wendroff flux reconstruction method for hyperbolic conservation laws ⋮ Towards stable radial basis function methods for linear advection problems ⋮ Analysis of the SBP-SAT stabilization for finite element methods. II: Entropy stability ⋮ Stabilizing discontinuous Galerkin methods using Dafermos' entropy rate criterion. I: One-dimensional conservation laws ⋮ Energy-stable global radial basis function methods on summation-by-parts form ⋮ Analysis of the SBP-SAT stabilization for finite element methods. I: Linear problems ⋮ A new family of weighted one-parameter flux reconstruction schemes ⋮ DeC and ADER: similarities, differences and a unified framework ⋮ Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points ⋮ Energy Stability of Explicit Runge--Kutta Methods for Nonautonomous or Nonlinear Problems ⋮ On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations ⋮ Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods
Uses Software
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