Gabriel Gatica

Research Area:
Numerical Analysis

Research interests:
Mathematical and numerical analysis of linear and nonlinear initial-boundary and boundary value problems in continuum mechanics, particularly in potential theory, electromagnetism, elasticity, and fluid mechanics. The main tools employed are: finite element methods, boundary integral equation methods, discontinuous Galerkin methods, least-squares-type methods, and primal and dual-mixed variational formulations. In addition, the main objectives sought are: existence and uniqueness of continuous solutions, existence and uniqueness of discrete solutions, a priori and a posteriori error analyses, fully discrete schemes, and efficient algorithms and computational implementations.