Our research involves the application of fundamental conservation laws,
such as the conservation of mass, momentum, and energy, to improve the
understanding of transport in biological systems. Our primary interest is
usually in diseased or pathological systems. In order to solve the partial
differential equations resulting from the application of conservation laws,
we tend to focus our efforts on higher-order finite element methods, which
can provide high-accuracy, and on algebraic multigrid solvers, which can
provide computational efficiency.