A mass-conservative characteristic splitting mixed finite element method for convection-dominated Sobolev equation

DOI10.1016/j.matcom.2018.12.016OpenAlexW2910211155WikidataQ128553623 ScholiaQ128553623MaRDI QIDQ1997549

Yuezhi Zhang, Jian-Song Zhang, Hui Guo, Hongfei Fu

Publication date: 2 March 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2018.12.016

zbMATH Keywords

Sobolev equationsplitting systemthe method of characteristicsmixed elementmass-conservative

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)

Related Items (7)

A mass-conservative higher-order ADI method for solving unsteady convection-diffusion equations ⋮ A hybrid high-order method for Sobolev equation with convection-dominated term ⋮ Interior penalty discontinuous Galerkin technique for solving generalized Sobolev equation ⋮ A new expanded mixed finite element method for Kirchhoff type parabolic equation ⋮ Application of spectral element method for solving Sobolev equations with error estimation ⋮ Numerical simulation for clustering and pattern formation in active colloids with mass-preserving characteristic finite element method ⋮ A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics

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