The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

DOI10.1137/S0036142997316712zbMath0927.65118OpenAlexW2012938047MaRDI QIDQ4243547

Chi-Wang Shu, Bernardo Cockburn

Publication date: 19 May 1999

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

Full work available at URL: https://doi.org/10.1137/s0036142997316712

zbMATH Keywords

Navier-Stokes equationsnumerical examplesconvection-diffusion problemsparallel computationdiscontinuous Galerkin methodssemiconductor device simulationdiscontinuous finite elementsformal accuracy

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)