Some remarks on Trefftz type approximations

DOI10.1016/j.enganabound.2018.12.010zbMath1464.74380OpenAlexW2908777267WikidataQ128593891 ScholiaQ128593891MaRDI QIDQ666830

Reinhard Piltner

Publication date: 12 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.12.010

zbMATH Keywords

radial basis functionsdata interpolationTrefftz methoddiscretized Cauchy integralselasticity solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (1)

Numerical simulation of physical fields by the collocation method

Uses Software

• Matlab

Cites Work

• On the choice of source points in the method of fundamental solutions
• Extending the method of fundamental solutions to non-homogeneous elastic wave problems
• Three-dimensional stress and displacement representations for plate problems
• Hybrid-Trefftz quadrilateral elements for thick plate analysis
• Some comments on the ill-conditioning of the method of fundamental solutions
• Mathematical foundation of the MFS for certain elliptic systems in linear elasticity
• The use of complex valued functions for the solution of three-dimensional elasticity problems
• The representation of three-dimensional elastic displacement fields with the aid of complex valued functions for several curvilinear coordinates
• The application of a complex 3-dimensional elasticity solution representation for the analysis of a thick rectangular plate
• The derivation of a thick and thin plate formulation without ad hoc assumptions
• On the representation of three-dimensional elasticity solutions with the aid of complex valued functions
• A boundary integral Trefftz formulation with symmetric collocation
• A Trefftz collocation method (TCM) for three-dimensional linear elasticity by using the Papkovich-Neuber solutions with cylindrical harmonics
• The method of fundamental solutions applied to boundary value problems on the surface of a sphere
• Trefftz-type boundary elements for the evaluation of symmetric coefficient matrices
• The method of fundamental solutions for the numerical solution of the biharmonic equation
• Error estimates and condition numbers for radial basis function interpolation
• A family of quadrilateral hybrid-Trefftz \(p\)-elements for thick plate analysis
• The Method of Regularized Stokeslets
• ψ-Hyperholomorphic functions and a Kolosov-Muskhelishvili formula
• Applicability and applications of the method of fundamental solutions
• General ano complete solutions of the equations of elasticity
• Recent General Solutions in Linear Elasticity and Their Applications
• Special finite elements with holes and internal cracks
• A quadrilateral hybrid-Trefftz plate bending element for the inclusion of warping based on a three-dimensional plate formulation
• Hybrid trefftz plane elasticity elements withp -method capabilities
• Triangular thick plate elements based on a hybrid-Trefftz approach
• A GENERAL FORMULATION OF EQUILIBRIUM MACRO-ELEMENTS WITH CONTROL OF SPURIOUS KINEMATIC MODES: THE EXORCISM OF AN OLD CURSE
• Trefftz method: A general theory
• Hybrid‐Trefftz plate bending elements with p‐method capabilities
• A quadrilateral mixed finite element with two enhanced strain modes
• HYBRID-TREFFTZ EQUILIBRIUM MODEL FOR CRACK PROBLEMS
• On a spatial generalization of the Kolosov–Muskhelishvili formulae
• On the Complete Representation of Biharmonic Functions
• A boundary element algorithm using compatible boundary displacements and tractions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some remarks on Trefftz type approximations