A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations
DOI10.1016/j.apnum.2015.04.006zbMath1329.65224arXiv1401.5539OpenAlexW1552080905MaRDI QIDQ492921
Amiya K. Pani, Samir Karaa, Sangita Yadav
Publication date: 21 August 2015
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.5539
numerical experimentsorder of convergencelocal discontinuous Galerkin method\(hp\)-error estimateslinear second order hyperbolic integro-differential equationmixed type Ritz-Volterra projectionnonstandard formulationrole of stabilizing parameterssemidiscrete and completely discrete schemes
Integro-partial differential equations (45K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Integro-partial differential equations (35R09)
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