Symmetric Interior Penalty Discontinuous Galerkin Methods for Elliptic Problems in Polygons

DOI10.1137/17M1120634zbMath1376.65145OpenAlexW2766299720MaRDI QIDQ4588866

Dominik Schötzau, Christoph Schwab, Fabian L. Müller

Publication date: 3 November 2017

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1120634

zbMATH Keywords

convergenceerror boundsfinite element methodscorner singularitiesdiscontinuous Galerkin methodsnumerical experimentLipschitz domainselliptic boundary-value problems

Mathematics Subject Classification ID

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Discontinuous Galerkin methods for acoustic wave propagation in polygons ⋮ Optimal error estimates for Chebyshev approximations of functions with endpoint singularities in fractional spaces ⋮ Multilevel Quasi-Monte Carlo Uncertainty Quantification for Advection-Diffusion-Reaction ⋮ A PDE approach to fractional diffusion: a space-fractional wave equation ⋮ Tensor FEM for spectral fractional diffusion

Uses Software

• SciPy
• Triangle
• LNG_FEM

Cites Work

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