[PDF] Top 20 Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
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Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
... LDG method is one of those numerical methods, which were first constructed by Cock- burn and Shu and motivated by Bassi and Rebay [, ] to solve the convection-diffusion ...LDG method has been used to ... See full document
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ERROR ESTIMATE FOR SPACE-TIME DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD OF CONVECTION-DIFFUSION PROBLEM
... complex problems from science and technology (aerospace engineering, turbo machinery, oil recovery, meteorology, environmental protection ...strongly nonlinear singularly perturbed systems in domains with ... See full document
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... of convection-dominated convection-diffusion-reaction equations with finite element methods constitutes a very challenging (and open) ...dominating convection, at least in the context of ... See full document
43
STREAMLINE UPWIND/PETROV GALERKIN SOLUTION OF OPTIMAL CONTROL PROBLEMS GOVERNED BY TIME DEPENDENT DIFFUSION-CONVECTION-REACTION EQUATIONS
... non-stationary diffusion-convection- reaction equations. For example, the local discontinuous Galerkin (dG) approximation and the characteristic finite element solution of the control ... See full document
15
An Upwind-mixed Finite Element Method with Moving Grids for Quasi-nonlinear Sobolev Equations
... element method has been proven to be a powerful tool to numerically solve the fluid ...element method were discussed well, such as [14], [15], [16]. For the convection dominated equation, the ... See full document
6
Using a LDG method for solving an inverse source problem of the time-fractional diffusion equation
... the discontinuous Galerkin method to some inverse source problems and for this purpose, we present a fully-discrete local discontinuous Galerkin method for solving ... See full document
22
hp version discontinuous Galerkin methods for advection diffusion reaction problems on polytopic meshes
... The interest in DGFEMs can be attributed to a number of factors: classical DGFEMs, such as interior penalty methods, have typically minimal communication, in the sense that only direct face-element neigh- bours are ... See full document
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... DG method has emerged as an attractive tool for simulating the convection-diffusion problem ...DG method lies in its accuracy and flexibility thanks to its high degree of ...containing ... See full document
11
Compact and stable discontinuous Galerkin methods for convection diffusion problems
... compressible nonlinear Navier–Stokes equations in the work of Hartmann and Houston ...IP method is based on the penalization of jumps of the numerical solution across grid interfaces which has to take into ... See full document
21
A posteriori error estimates for continuous interior penalty Galerkin approximation of transient convection diffusion optimal control problems
... to convection diffusion problems may have boundary layers with small widths where their gradients change ...solve convection diffusion optimal control problems is generally not ...element ... See full document
19
Optimal Convergence Analysis for Convection Dominated Diffusion Problems
... to nonlinear coupled systems in two and three spatial ...the method of characteristics has been applied to the convection do- minated diffusion problems with a single step backward ... See full document
5
Superconvergence of finite element method for parabolic problem
... we give some applications of the results obtained in Sections 2, 3 and 4. For example, a postprocessing technique is employed to obtain second-order superconvergence for gradient and first-order for the solution ... See full document
12
An H1 Galerkin method for a Stefan problem with a quasilinear parabolic equation in non divergence form
... A Galerkin Method For a Single Phase Nonlinear Stefan Problem with Dirichlet Boundary Conditions, Submitted.. Free-Boundary Problems For Nonlinear Parabolic Equations With Nonlinear Free[r] ... See full document
16
High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems
... order Discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication ...This method is found to be stable across a wide range of loads and ... See full document
9
New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method
... the method of Tseng et al. [3]. The method effectively eliminates numerical instabilities caused by matrix inversion and ...boundary method using the ghost cell approach, whereby the incompressible ... See full document
10
Computational Studies of Reaction Diffusion Systems by Nonlinear Galerkin Method
... the function subspace, where the approximation of the solutions is searched. Before the application on the Scott- Wang-Showalter model, we use the single one-dimen- sional reaction-diffusion equation with the ... See full document
10
Finite volume - space-time discontinuous Galerkin method for the numerical simulation of compressible turbulent flow in time dependent domains
... space-time discontinuous Ga- lerkin finite element method (ST-DG), which is based on piecewise polynomial discontinuous approximations of the sought solution, became very popular in the field of nu- ... See full document
8
A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... rDG(PnPm) method is used to discretize the velocity ...the discontinuous Galerkin method by increasing the order of the underlying polynomial ... See full document
82
Regional wave propagation using the discontinuous Galerkin method
... finite-element method, the DG method solves the weak form of a partial differential equation, here the elas- tic wave ...a Galerkin scheme, as most of the FE-type meth- ods used in computational ... See full document
15
An Upwind Finite Volume Element Method for Nonlinear Convection Diffusion Problem
... for Convection-Dominated Diffusion Problems Based on Com- bining the Method of Characteristics with Finite Element or Finite Difference Procedures,” SIAM Journal on Nu- merical Analysis, ... See full document
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