A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains

DOI10.1016/j.matcom.2020.05.005OpenAlexW3024200661MaRDI QIDQ1998117

Meng Li, Nan Wang, Mingfa Fei, Cheng-Ming Huang

Publication date: 6 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.2020.05.005

zbMATH Keywords

convergencefinite element methodunstructured meshRiesz fractional derivativesnonlinear dissipative wave equationsdissipation and conservationirregular convex domains

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) Applications to the sciences (65Zxx)

Related Items (10)

SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations ⋮ Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain ⋮ Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping ⋮ Energy-preserving scheme for the nonlinear fractional Klein-Gordon Schrödinger equation ⋮ Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions ⋮ Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation ⋮ Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov-Sinelshchikov equation ⋮ Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian ⋮ Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

Uses Software

• FODE

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