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.
CITATION STYLE
Gerritsma, M., & Bochev, P. (2015). A locally conservative high-order least-squares formulation in curvilinear coordinates. In Lecture Notes in Computational Science and Engineering (Vol. 106, pp. 227–235). Springer Verlag. https://doi.org/10.1007/978-3-319-19800-2_19
Mendeley helps you to discover research relevant for your work.