A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces

DOI10.1016/j.cpc.2019.106941OpenAlexW2977150160WikidataQ110649098 ScholiaQ110649098MaRDI QIDQ2698797

Xufeng Xiao, Xinlong Feng, Zihuan Dai

Publication date: 25 April 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2019.106941

zbMATH Keywords

mass lumpingpositivity preservationsurface partial differential equationssurface finite element methodmodified method of characteristic

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (13)

Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation ⋮ Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations ⋮ Positivity preserving temporal second-order spatial fourth-order conservative characteristic methods for convection dominated diffusion equations ⋮ Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation ⋮ An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes ⋮ Gradient recovery-based adaptive stabilized mixed FEM for the convection-diffusion-reaction equation on surfaces ⋮ Optical solitons for Chen-Lee-Liu equation with two spectral collocation approaches ⋮ A spectral collocation technique for Riesz fractional Chen-Lee-Liu equation ⋮ Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint ⋮ Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle ⋮ Numerical approximation of the square phase-field crystal dynamics on the three-dimensional objects ⋮ Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation ⋮ Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations

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