Research Interests

My research is in the area of Computational Mechanics. My work spans basic mathematical theory to practical engineering applications. In my early career I focused on the development of methods for computational solid mechanics and structural analysis, in particular, plates and shells, structural dynamics, incompressible material response, contact and impact phenomena, and large-deformation constitutive equations. This results became integral components of nonlinear structural analysis computer programs used widely today. I was also the first to solve a basic problem in computational fluid dynamics with the development of SUPG, demonstrating that higher-order accuracy and stability could be simultaneously achieved by the same method. SUPG has been applied to numerous problems in engineering and initiated a new area of research, referred to as Stabilized Methods. My most recent work includes the development of patient-specific simulation technologies for cardiovascular disease, variational multiscale methods for complex fluid flows and turbulence, and Isogeometric Analysis: geometrically exact methods in computational mechanics that hold promise to unify computer aided design and engineering analysis.

Membership Type


Election Year


Primary Section

Section 31: Engineering Sciences

Secondary Section

Section 32: Applied Mathematical Sciences