Publications

A locally conservative high-order least-squares formulation in curvilinear coordinates

Gerritsma, Marc; Bochev, Pavel B.

We present a locally conservative spectral least-squares formulation for the scalar diffusion-reaction equation in curvilinear coordinates. Careful selection of a least squares functional and compatible finite dimensional subspaces for the solution space yields the conservation properties. Numerical examples confirm the theoretical properties of the method.