33 research outputs found
Error Estimates for the Coupling of Analytical and Numerical Solutions
In this paper we present error estimates for a continuous coupling of an analytical and a numerical solution for a boundary value problem with a singularity. A solution of the Lamé–Navier equation with a singularity caused by a crack is considered as an example. The analytical solution near a singularity is constructed by using complex function theory and coupled continuously with the finite element solution. The objective of this paper is to estimate the coupling error, which cannot be covered by the classical theory of the finite element method
Trefftz polygonal finite element for linear elasticity: convergence, accuracy, and properties
The application of a complex 3-dimensional elasticity solution representation for the analysis of a thick rectangular plate
Spezielle finite Elemente mit Loechern, Ecken und Rissen unter Verwendung von analytischen Teilloesungen
SIGLEDEGerman