A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics

DOI10.1016/j.enganabound.2017.12.009zbMath1403.74011OpenAlexW2782114913MaRDI QIDQ1656392

Leiting Dong, Guannan Wang, Satya N. Atluri

Publication date: 10 August 2018

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.12.009

zbMATH Keywords

ill-conditioningTrefftz methodscaling techniquecylindrical harmonicsPapkovich-Neuber solution3D elasticity

Mathematics Subject Classification ID

Related Items (2)

Some remarks on Trefftz type approximations ⋮ Applications of the Trefftz method to the anti-plane fracture of 1D hexagonal piezoelectric quasicrystals

Cites Work

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• A powerful finite element for plate bending
• Indirect Trefftz method for boundary value problem of Poisson equation.
• Numerical solution of three-dimensional Laplacian problems using the multiple scale Trefftz method
• Solving Helmholtz equation with high wave number and ill-posed inverse problem using the multiple scales Trefftz collocation method
• An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length
• The Trefftz method for solving eigenvalue problems
• Application of a direct Trefftz method with domain decomposition to 2D potential problems
• Comparison of different methods for choosing the collocation points in the boundary collocation method for 2D-harmonic problems with special purpose Trefftz functions
• A Simple Multi-Source-Point Trefftz Method for Solving Direct/Inverse SHM Problems of Plane Elasticity in Arbitrary Multiply-Connected Domains
• On Solving Three-dimensional Laplacian Problems in aMultiply Connected Domain Using the Multiple ScaleTrefftz Method
• On Solving the Ill-Conditioned System Ax=b: General-Purpose Conditioners Obtained From the Boundary-Collocation Solution of the Laplace Equation, Using Trefftz Expansions With Multiple Length Scales
• A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length
• A Papkovich-Neuber-based numerical approach to cracks with contact in 3D
• Large finite elements method for the solution of problems in the theory of elasticity
• Solution of Helmholtz equation by Trefftz method
• Trefftz method for Kirchhoff plate bending problems
• Application of symmetric indirect Trefftz method to free vibration problems in 2D
• Trefftz method: An overview

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