[PDF] Top 20 An analysis of Galerkin methods for solving transport problems

... In this paper both a discontinuous Galerkin method and a continuous Petrov-Galerkin method were analyzed and compared. They are very similar in approximating the solution on each interval by a polynomial of ... See full document

... In Chapter 5, which is based on work we have done in Dedner and Madhavan [2014a], we derive a dual weighted residual-based a posteriori error estimate for the surface IP method considered in Chapter 4, restricting ... See full document

... and Galerkin methods, and we want to extend the classic Galerkin method to fuzzy Galerkin ...error analysis and convergence are most easily carried out within such a fuzzy operator ... See full document

... Continuous Galerkin methods for ODEs have been introduced in [19, 20] and discontinuous Galerkin methods in ...Discontinuous Galerkin methods were first analyzed for linear ... See full document

... The structure of this article is as follows. In Section 2, we introduce the model problem and state the necessary assumptions on the computational domain Ω. Sec- tion 3 introduces the composite finite element spaces ... See full document

... DG methods are a class of numerical methods that have been successfully applied to hyperbolic, elliptic and parabolic PDEs arising from a wide range of ...element methods include the ability of ... See full document

... The structure of this article is as follows. In Section 2, we introduce the model problem and state the necessary assumptions on the computational domain Ω. Sec- tion 3 introduces the composite finite element spaces ... See full document

... 3. Construction of composite DGFEMs. In this section we briefly introduce the composite version of the IP DGFEM; for further details, we refer to our recent article [10]. In order to develop the a priori error ... See full document

... for solving nonlinear convection-diffusion ...discontinuous Galerkin (DG) methods which were proposed and analyzed for the first time in the 1970s for solving partial differential ...for ... See full document

... On the other hand, SM and QD methods can be used with an independent dis- cretization [2]. It has not been proved that they converge fast in any scenario, but for infinite homogeneous medium tests neither slow ... See full document

... of solving most initial value problems for a system of ordinary differential equations are mostly provided by Runge-Kutta methods sometimes referred to as ―RK‖ ...Runge-Kutta methods are ... See full document

... Zeng, Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods.. Engineering Analysis with Boundary[r] ... See full document

... neutron transport is an active area of research that has continued to be developed over the last seventy ...neutron transport theory is ex- ploited in applications ranging from the production of ... See full document

... admixture transport model in the Azov Sea is ...is solving by integration of independent series of adjoint ...variational methods of filtration for optimal estimate ...and solving of linear ... See full document

... A mathematical model represents real objects using mathematical methods. Mathematical modeling has come to us from the distant past. At the first stage it was restricted mainly to the range of problems of ... See full document

... value problems (BVPs). The great interest in such problems is due to their importance in various fields of applied ...of problems in physics and fluid dynamics are described by problems of this ... See full document

... barrier methods for solving primal-dual linear programming ...for solving a constrained ...unconstrained problems will arise in other ... See full document

... three methods: a finite volume approach on a structured grid, a high order Discontinuous Galerkin (DG) method on an unstructured grid and a Particle-In-Cell (PIC) ...three methods are respectively ... See full document

... of solving the problem. Such problems arise in particular in designing linear structures ...Such problems arise in the design of optimal longitudinal profile of railways and ...the methods of ... See full document

... intractable problems in computing, extracting the mathematical model of most practical engineering problems can be transformed into nonlinear ...intelligence methods, using intelligent algorithm to ... See full document