Resolution of three-dimensional Stokes fluid flows using a Trefftz method

DOI10.1016/S0045-7825(99)00427-2zbMath0993.76065OpenAlexW2042121455MaRDI QIDQ1595086

Mohamed Bouberbachene, Christian Hochard, A. Poitou

Publication date: 29 September 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00427-2

zbMATH Keywords

weak formulationdomain optimizationfree surface problemextended Trefftz polynomialsthree-dimensional linear Stokes problems

Mathematics Subject Classification ID

Related Items (6)

Solving the stationary Navier-Stokes equations by using Taylor meshless method ⋮ Combined Trefftz methods of particular and fundamental solutions for corner and crack singularity of linear elastostatics ⋮ Mixed types of boundary conditions at corners of linear elastostatics and their numerical solutions ⋮ Comparison of boundary collocation methods for singular and non-singular axisymmetric heat transfer problems ⋮ Numerical solutions of two-dimensional Laplace and biharmonic equations by the localized Trefftz method ⋮ Corner and crack singularity of different boundary conditions for linear elastostatics and their numerical solutions

Cites Work

• Three dimensional viscous flows with a free surface: Flow out of a long square die
• Boundary methods, c-complete systems for Stokes problems
• The hybrid-Trefftz finite element model and its application to plate bending
• Generalized finite element analysis with T-complete boundary solution functions
• Trefftz method: Fitting boundary conditions
• A simplified analysis of plate structures using Trefftz‐functions
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