Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems

DOI10.1016/j.camwa.2022.05.029OpenAlexW4282937576MaRDI QIDQ2159863

Vincent Fontaine, Grégory Etangsale, Nalitiana Rajaonison, Marwan Fahs

Publication date: 2 August 2022

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04147

zbMATH Keywords

convergence analysisinterior penalty methodshybridizable discontinuous Galerkinupdated a priori error estimatesvariable-penalty technique

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Families of hybridized interior penalty discontinuous Galerkin methods for locally degenerate advection-diffusion-reaction problems

Uses Software

• NGSolve

Cites Work

• Unnamed Item
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