Solution of the planar Newtonian stick–slip problem with the singular function boundary integral method

DOI10.1002/fld.973zbMath1073.65134OpenAlexW2102460917MaRDI QIDQ5463004

Miltiades C. Elliotis, Georgios C. Georgiou, Christos Xenophontos

Publication date: 1 August 2005

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.973

zbMATH Keywords

Lagrange multipliersconvergenceStokes flownumerical examplesbiharmonic equationboundary singularitysingular coefficientssingular function boundary integral methodstick-slip problem

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Navier-Stokes equations (35Q30) Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (9)

The singular function boundary integral method for an elastic plane stress wedge beam problem with a point boundary singularity ⋮ On solving the cracked‐beam problem by block method ⋮ On the stick-slip flow from slit and cylindrical dies of a Phan-Thien and Tanner fluid model. I. Steady state ⋮ Stability analysis of Trefftz methods for the stick-slip problem ⋮ The singular function boundary integral method for biharmonic problems with crack singularities ⋮ The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity ⋮ Simple iterative method for solving problems for plates with partial internal supports ⋮ Block method for problems on L-shaped domains ⋮ Initial development of a free-surface wall jet at moderate Reynolds number

Cites Work

• Modified integral equation solution of viscous flows near sharp corners
• Modified methods of fundamental solutions for harmonic and biharmonic problems with boundary singularities

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