IEEE

Discontinuous Galerkin Method With a Novel Physics-Informed Flux for Elastic Wave Simulations in Heterogeneous Media

Abstract: We present an innovative physics-informed numerical flux within the framework of the discontinuous Galerkin (DG) method for solving elastic wave equations in 2-D heterogeneous media that ...
Scientific Research Publishing

Cockburn, B., Karniadakis, G.E. and Shu, C. (2000) The Development of Discontinuous Galerkin Methods. In: Cockburn, B., Karniadakis, G.E. and Shu, C.W., Eds., Discontinuous ...

ABSTRACT: Darcy’s law is the fundamental equation describing the flow of a fluid through a porous medium. Combined with the principle of mass conservation, it leads to the diffusion Equation (e.g., ...
IEEE

A Capacitance Extraction Method Using Local Discontinuous Galerkin Method on Adaptive Triangular Meshes

Abstract: The increasing scale and complexity of integrated circuits (ICs) necessitate accurate and efficient capacitance extraction methods to ensure signal and power integrity. This article ...
Oak Ridge National Lab

Realizability-Preserving Discontinuous Galerkin Method for Spectral Two-Moment Radiation Transport in Special Relativity...

We present a realizability-preserving numerical method for solving a spectral two-moment model to simulate the transport of massless, neutral particles interacting with a steady background material ...
GitHub

discontinuous-galerkin-method

A simple MATLAB DG code for 1D Euler Equation, including the TVB Limiter and pp Limiter. Three types of fluxes are tested: L-F, HLL and HLLC. The test example is the "test 3" on Toro's ”Riemann Solver ...
Oak Ridge National Lab

Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport

The discrete ordinates discontinuous Galerkin (SN-DG) method is a well-established and practical approach for solving the radiative transport equation. In this paper, we study a low-memory variation ...