Fundamental Principles of the Discontinuous Galerkin Method and ...

His work is strongly focused on the development of high-order numerical methods for two-phase flows, so-called discontinuous Galerkin methods.

FUNDAMENTAL PRINCIPLES OF THE DISCONTINUOUS ...

FUNDAMENTAL PRINCIPLES OF THE. DISCONTINUOUS GALERKIN METHOD… … AND EXTENSION TO. MULTIPHASE FLOW PROBLEMS. Dr. Florian Kummer. 29th of April ...

中国科学技术大学 Xu Yan--Home--Lectures on DG methods

Discontinuous Galerkin (DG) finite element methods are nowadays one of the main numerical techniques to solve partial differential equations. The key feature of ...

Discontinuous Galerkin methods for coupled flow and reactive ...

Primal discontinuous Galerkin methods with interior penalty are proposed to solve the coupled system of flow and reactive transport in porous media.

Discontinuous Galerkin Methods: General Approach and Stability

A major development of the DG method is carried out by Cockburn et al. in ... valid guiding principle for the design of the diffusion fluxes ˆb, ˆq and ˆB.

The development of discontinuous Galerkin methods

main advantages over classical finite volume and finite di ff erence methods : - ... velopment of the DG methods for hyperbolic conservation laws, this was the.

Discontinuous Galerkin approximation with discrete variational ...

A discontinuous Galerkin method is analyzed to approximate the nonlinear Laplacian model problem. The salient feature of the proposed scheme is that it is ...

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic ...

This book covers both theory and computation as it focuses on three primal DG methods — the symmetric interior penalty Galerkin, incomplete interior penalty ...

hp-Version Discontinuous Galerkin Methods on Polygonal and ...

Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for ...

Penalty‐free discontinuous Galerkin method - Wiley Online Library

This subset is constructed by applying special augmented constraints to the linear combination of finite element basis functions. In this ...

2019 Feb 1, Bernardo Cockburn, University of Minnesota ...

The so-called hybridizable discontinuous Galerkin (HDG) methods were originally introduced about a decade ago in the framework of steady-state diffusion. The ...

Discontinuous Galerkin Methods for Computational Fluid Dynamics

This completes the definition of the DG method. Note how the numerical flux has three key properties: (i) it only depends on the traces of the approximation on ...

Discontinuous Galerkin methods in nanophotonics

We describe in detail the underlying principles of the discontinu- ous Galerkin technique and its application to the simulation of complex ...

Maximum-Principle-Preserving Local Discontinuous Galerkin ...

It enjoys the energy stability and the maximum-principle. Moreover, it is well known that the Allen-Cahn equation may yield thin interface layer ...

A bound preserving cut discontinuous Galerkin method for one ...

Our lowest-order scheme results in a piecewise constant solution that satisfies a maximum principle for scalar hyperbolic conservation laws.

Discontinuous Galerkin Finite Element Approximation of ...

Suri, The p and h - p versions of the finite element method, basic principles and properties, SIAM Rev., 36 (1994), pp. 578--632. Crossref · Web of Science.

A Reconstructed Discontinuous Galerkin Method for the ...

Starting from the underlying linear polynomial DG solution, a quadratic polynomial solution is reconstructed using a least- squares method. In order to maintain ...

Ph.D. Course on Nodal Discontinuous Galerkin Methods for solving ...

The aim of the course is to give the students an introduction to discontinuous Galerkin methods (DG-FEM) for solving problems in the engineering and the ...

Discontinuous Galerkin methods in nanophotonics - Busch - 2011

We describe in detail the underlying principles of the discontinuous Galerkin technique and its application to the simulation of complex ...

A dynamical core based on a discontinuous Galerkin method ... - GMD

To control diffusion and improve the approximation quality, we present a new numerical core for the dynamics of sea ice that is based on higher- ...