An \(h\)-adaptive SUPG-FEM solution of the pure advection equation
A standard \(h\)-adaptive finite element procedure based on a posteriori error estimation is described. The first-order wave equation (pure advection) is solved using the SUPG form of the finite element method (FEM). A benchmark problem is solved which has a uniform flow advecting a function with a boundary discontinuity. The \(h\)-adaptive procedure is used in combination with the SUPG formulation and after a number of adaptive cycles produces a high quality solution.
streamline upwind Petrov Galerkin method
scientific article; zbMATH DE number 1115965
scientific article