Introduction to (dis)continuous Galerkin finite element methods
نویسندگان
چکیده
منابع مشابه
A (dis)continuous Finite Element Model for Generalized 2d Vorticity Dynamics
Abstract. A mixed continuous and discontinuous Galerkin finite element discretization has been constructed for a generalized vorticity-streamfunction formulation in two spatial dimensions. This formulation consists of a hyperbolic (potential) vorticity equation and a linear elliptic equation for a (transport) streamfunction. The advantages of this finiteelement model are the allowance of comple...
متن کاملVariational Space-time (Dis)continuous Galerkin Method for Linear Free Surface Waves
A new variational (dis)continuous Galerkin finite element method is presented for linear free surface gravity water wave equations. In this method, the space-time finite element discretization is based on a discrete variational formulation analogous to a version of Luke’s variational principle. The finite element discretization results into a linear algebraic system of equations with a symmetri...
متن کاملDynamic Simulation and Control of a Continuous Bioreactor Based on Cell Population Balance Model
Saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. Because of heterogeneous nature of cell populations, the cell population balance equation (PBE) can be used to capture the dynamic behavior of such cultures. In this work, an unstructured-segregated model is used f...
متن کاملStabilized Finite Element Methods for Nonsymmetric, Noncoercive, and Ill-Posed Problems. Part II: Hyperbolic Equations
In this paper we consider stabilized finite element methods for hyperbolic transport equations without coercivity. Abstract conditions for the convergence of the methods are introduced and these conditions are shown to hold for three different stabilized methods: the Galerkin least squares method, the continuous interior penalty method, and the discontinuous Galerkin method. We consider both th...
متن کاملContinuous and Discontinuous Finite Element Methods for Convection-Diffusion Problems: A Comparison
We compare numerically the performance of a new continuous-discontinuous finite element method (CDFEM) for linear convection-diffusion equations with three well-known upwind finite element formulations, namely with the streamline upwind Petrov-Galerkin finite element method, the residualfree bubble method and the discontinuous Galerkin finite element method. The defining feature of the CDFEM is...
متن کامل