NONUNIFORM SPATIAL MESH ADAPTATION USING A-POSTERIORI ERROR-ESTIMATES- APPLICATIONS TO FORWARD AND INVERSE PROBLEMS

In this paper we present an adaptive method for the solution of large scale forward and inverse problems occurring in biomedicine. Specifica lly, we describe models based on magnetic resonance images of the huma n thorax that are used to solve electric and potential field imaging p roblems. We introduce two- and three-dimensional nonuniform spatial me sh adaptation schemes based upon a posteriori error estimates from the finite element approximation, an algorithm that utilizes a minimax th eorem based on estimates of the electric and potential fields and a th ree-dimensional, Delaunay triangulation program Initial results are pr esented for two- and three-dimensional models.