Boundary shape identification in two-dimensional electrostatic problems using SQUIDs

Solution to Boundary Shape Identification Problems in Elliptic Boundary Value Problems Using Shape Derivatives

This paper concerns the problem identifying geometrical boundary shapes of domains in which elliptic boundary value problems are defined. Such identification problems can be formulated as minimization problems of squared error integrals between the actual solutions of the elliptic boundary value problems and their reference data with respect to perturbation of the uncertain boundary. Mathematic...

Time-Discontinuous Finite Element Analysis of Two-Dimensional Elastodynamic Problems using Complex Fourier Shape Functions

This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problems. These shape functions, which are derived from their corresponding radial basis functions, have some advantages such as the satisfaction of exponential and trigonometric function fields in comple...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

DAMAGE IDENTIFICATION BY USING MODAL EXPANSION AND TOPOLOGY OPTIMIZATION IN THREE DIMENSIONAL ELASTICITY PROBLEMS

In this paper, topology optimization is utilized for damage detection in three dimensional elasticity problems. In addition, two mode expansion techniques are used to derive unknown modal data from measured data identified by installed sensors. Damages in the model are assumed as reduction of mass and stiffness in the discretized finite elements. The Solid Isotropic Material with Penalization (...