local discontinuous galerkin method
New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method
... the local discontinuous Galerkin method focus on the Cartesian grid with low compu‑ tational efficiency and poor adaptability to complex ...boundary method is presented, and this ...
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Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
... In this paper, we discuss the superconvergence of the local discontinuous Galerkin methods for nonlinear convection-diffusion equations. We prove that the numerical solution is (k + 3/2)th-order ...
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A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids
... FV method involves local in- cell ...DG method pursues another venue to achieve high-order accuracy, by solving for additional degrees of freedom per cell, rendering a compact stencil, but larger ...
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Regional wave propagation using the discontinuous Galerkin method
... the discontinuous Galerkin method was in- troduced to extend the modeling capabilities to unstructured tetrahedral grids ...DG method for elastodynamic problems to achieve the same ac- curacy ...
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A local time-stepping Discontinuous Galerkin algorithm for the MHD system
... order method, but also because the mesh is unstructured and contains several small cells where the local time-stepping algorithm is activated (in practice, the automatic mesh generator produces two CFL ...
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A Hybrid Reconstructed Discontinuous Galerkin and Continuous Galerkin Finite Element Method for Incompressible Flows on Unstructured Grids.
... with i, j, and, k as the three vertices of the triangular element. After the local elemental stiffness matrices have been computed, the assembly to the global stiffness matrix can be carried out. The global ...
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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 local ...
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A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Flows on Hybrid Grids.
... the discontinuous Galerkin temporal dis- cretizations gradually shifted to fully implicit schemes, especially in ...space–time discontinuous Galerkin method for the compressible ...
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A new mixed discontinuous Galerkin method for the electrostatic field
... an efficient computational technique for fractal vehicular traffic flow is presented. A new analysis of the Fornberg–Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel is studied by Kumar, ...
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A discontinuous Galerkin finite element method for the Zakharov Kuznetsov equation
... a local discontinuous Galerkin (LDG) method for the ZK equation, which is different from the DG method in our ...LDG method for the fractional Zakharov-Kuznetsov equation and ...
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A Riemann Solver Free Spacetime Discontinuous Galerkin Method for General Conservation Laws
... the local sharp extremum of the solution ...current method is able to solve diffusion problems without any special tricks for diffusion terms as required by many other DG ...
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations
... Note that the time step restriction on a moving mesh is different from that arising on a fixed nonuniform mesh due to the use of a modified wave speed. If the mesh velocity is close to the same speed as a solution ...
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Numerical modelling of MPA CVD reactors with the discontinuous Galerkin finite element method
... the discontinuous Galerkin (DG) finite element method ...over local element domains, but without the enforcement of any continuity constraints between neighbouring ...flows; local ...
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A discontinuous Galerkin scheme for front propagation with obstacles
... Runge-Kutta discontinuous Galerkin (RKDG) methods were originally devised to solve conservation laws, see [13] and the reference ...DG method for directly solving the Hamilton-Jacobi equation was ...
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A hybridizable direct discontinuous Galerkin method for elliptic problems
... In the above derivation, we have given the discretization of the local problem when the trace value u ˆ is known. However, in general, the value of u ˆ is unknown. Therefore, we need additional conditions to ...
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A discontinuous Galerkin method for solving the fluid and magnetohydrodynamic equations in astrophysical simulations
... FV method, where local gradients (and higher order derivatives in general) are evolved just like fluid variables, instead of using a stencil to estimate their ...DG method can also be readily ...
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A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... a discontinuous Galerkin finite-element ...the local Lax-Friedrichs ...the local time steps the scheme is locally conservative, fully explicit, and arbitrary order accurate in space and time ...
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Towards Application of a Parallel, High Order Discontinuous Galerkin Method for Reacting Flow Simulations
... (RK) method [23] is used for time integration. At each stage of the RK method, the right hand side (RHS) of the equation, obtained through local discretization of the problem using nodal DGM, is ...
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Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson
... a local reconstruction even when high-order reconstruction is used, which is important when dealing with the parallelization for high-dimensional ...the method is attractive since it is inherently ...
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A discontinuous Galerkin method for poroelastic wave propagation: the two-dimensional case
... 30% of the irrigation water. A naive picture of large and vaguely spatially homogeneous and isotropic aquifers is far from the truth [1]: collective drilling experience over many years suggests a more complicated network ...
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