An entropy satisfying discontinuous Galerkin method for nonlinear ...

We propose a high order discontinuous Galerkin (DG) method for solving nonlinear Fokker-Planck equations with a gradient flow structure.

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

Abstract. We propose a high order discontinuous Galerkin method for solving nonlinear Fokker–Planck equations with a gradient flow structure.

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

Abstract We propose a high order discontinuous Galerkin method for solving nonlinear. Fokker–Planck equations with a gradient flow structure ...

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

Supporting: 2, Mentioning: 37 - We propose a high order discontinuous Galerkin (DG) method for solving nonlinear Fokker-Planck equations with a gradient ...

An Entropy Satisfying Discontinuous Galerkin Method for ... - dblp

Bibliographic details on An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker-Planck Equations.

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

We propose a high order discontinuous Galerkin method for solving nonlinear Fokker–Planck equations with a gradient flow structure. For some of these.

Entropy Stable Discontinuous Galerkin Methods for Nonlinear ...

AbstractWe present a high-order entropy stable discontinuous Galerkin method for nonlinear conservation laws on both multi-dimensional domains and on ...

The Entropy Satisfying Discontinuous Galerkin Method for Fokker ...

[22,24,25] for solving nonlinear equations. However, the application of the DG method to diffusion problems has been a challenging task because of the subtle ...

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

We propose a high order discontinuous Galerkin method for solving nonlinear Fokker–Planck equations with a gradient flow structure. For some of these models ...

(PDF) Entropy stable discontinuous Galerkin methods for nonlinear ...

We present a high-order entropy stable discontinuous Galerkin (ESDG) method for nonlinear conservation laws on both multi-dimensional ...

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear ...

An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker–Planck Equations · List of references · Publications that cite this publication.

A discontinuous Galerkin method for nonlinear parabolic equations ...

If the interaction potential is not involved, or the interaction is defined by a smooth kernel, our semi-discrete scheme admits an entropy ...

Hui Yu: The entropy satisfying discontinuous Galerkin method for ...

Following [H. Liu and H. Yu, SIAM Journal on Numerical Analysis 2012, 50(3), 1207-1239], we present entropy satisfying discontinuous Galerkin methods ...

an entropy stable oscillation-free discontinuous galerkin method for ...

Key words and phrases. Hyperbolic conservation laws; Entropy stability; Summation-by-parts; Dis- continuous Galerkin method; Non-oscillatory. J. Lu's ...

An entropy stable discontinuous Galerkin method for the shallow ...

We extend the entropy stable high order nodal discontinuous Galerkin spectral element approximation for the non-linear two dimensional shallow water equations.

High Order Entropy Stable Discontinuous Galerkin Discretizations

High order discontinuous Galerkin (DG) methods combine high order accuracy and geometric flexibility with a computationally convenient structure ...

A discontinuous Galerkin method for nonlinear parabolic equations ...

We consider a class of time-dependent second order partial differential equations governed by a decaying entropy. The solution usually corresponds to a ...

Review of entropy stable discontinuous Galerkin ... - UMD MATH

It is well known that the classic DG method satisfies a discrete entropy inequality with respect to the square entropy (i.e., L2 stability), for scalar ...

A discontinuous Galerkin method for nonlinear parabolic equations ...

49 References · An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker–Planck Equations · A discontinuous Galerkin finite element method for ...

Entropy Stable and Well-Balanced Discontinuous Galerkin Methods ...

The nonlinear shallow water equations (SWEs) are widely used to model the unsteady water flows in rivers and coastal areas, with extensive applications in ocean ...