Discontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems
KAUST DepartmentPhysical Sciences and Engineering (PSE) Division
Applied Mathematics and Computational Science Program
MetadataShow full item record
AbstractWe revisit the finite element analysis of convection dominated flow problems within the recently developed Discontinuous Petrov-Galerkin (DPG) variational framework. We demonstrate how test function spaces that guarantee numerical stability can be computed automatically with respect to the so called optimal test space norm by using an element subgrid discretization. This should make the DPG method not only stable but also robust, that is, uniformly stable with respect to the Ṕeclet number in the current application. The e_ectiveness of the algorithm is demonstrated on two problems for the linear advection-di_usion equation.
CitationDiscontinuous Petrov-Galerkin method based on the optimal test space norm for one-dimensional transport problems 2011, 4:1862 Procedia Computer Science
JournalProcedia Computer Science
Conference/Event name11th International Conference on Computational Science, ICCS 2011