6533b851fe1ef96bd12aa0ce

RESEARCH PRODUCT

Gradient with respect to nodes for non-isoparametric finite elements

Jean-paul ZolesioTimo Tiihonen

subject

Simple (abstract algebra)Control variableApplied mathematicsDeformation (meteorology)Element (category theory)Finite element gridFinite element methodDomain (mathematical analysis)Mathematics

description

We consider the problem of controlling the solution of a finite element model using the nodal co-ordinates as control variables. The main emphasis is on the study of the applicability of the domain deformation method for different element types. The results are applied to a simple problem of finite element grid optimization.

https://doi.org/10.1007/bfb0041923