Creator:

Quintanilla, Ramon

Contributor:

Sofonea, Mircea - ed. ; Viano, Juan M. - ed.

Title:

The energy method for elastic problems with non-homogeneous boundary conditions

Subtitle:

Mathematical Modelling and Numerical Analysis in Solid Mechanics

Group publication title:

AMCS, volume 12 (2002)

Subject and Keywords:

weighted energy method ; decay estimates ; Navier equations ; non-homogeneous boundary conditions

Abstract:

In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. ; Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2002

Resource Type:

artykuł

Pages:

91-100

Source:

AMCS, volume 12, number 1 (2002) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego