On Oscillations in Discontinuous Galerkin Discretization Schemes for Steady State Problems

DOI10.1137/040603085zbMath1095.65078DBLPjournals/siamsc/Petrovskaya06OpenAlexW2074001037WikidataQ60464104 ScholiaQ60464104MaRDI QIDQ5470368

Natalia B. Petrovskaya

Publication date: 30 May 2006

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040603085

zbMATH Keywords

Newton's methodnumerical examplesBurgers equationconservation lawdiscontinuous Galerkin methodsemidiscretizationspurious oscillations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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