An analysis for the momentum equation with unbounded pressure gradient: numerical simulations

DOI10.1016/j.camwa.2023.03.028MaRDI QIDQ6103711

Jae Ryong Kweon, Ji Hoo Kim

Publication date: 5 June 2023

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

zbMATH Keywords

corner singularitymomentum equationcontact singularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

Cites Work

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• Interior discontinuity for a stationary compressible Stokes system with inflow datum
• A numerical scheme for approximating interior jump discontinuity solution of a compressible Stokes system
• A singular expansion of solution for a regularized compressible Stokes system
• Numerical simulations of jump discontinuity solutions for compressible Stokes flows
• A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities
• Compressible Stokes problem on nonconvex polygonal domains

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