Results 81 to 90 of about 17,200,724 (197)

Dynamic Simulation of Distribution Networks Using Multi-stage Discontinuous Galerkin Method

CSEE Journal of Power and Energy Systems
Dynamic simulation plays a fundamental role in security evaluation of distribution networks (DNs). However, the strong stiffness and non-linearity of distributed generation (DG) models in DNs bring about burdensome computation and noteworthy instability ...
Ruizhi Yu, Wei Gu, Weiqi Liu, Peixin Li, Wei Liu   +4 more
doaj   +1 more source

Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]

We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
core  

A numerical algorithm based on extended cubic B-spline functions for solving time-fractional convection-diffusion-reaction equation with variable coefficients

Journal of Nigerian Society of Physical Sciences
In this research, we develop an innovative and efficient numerical method for solving a nonlinear one-dimensional time-fractional convection-diffusion-reaction equation (TFCDRE) with a variable coefficient.
Anthony Anya Okeke, Nur Nadiah Abd Hamid, Wen Eng Ong, Muhammad Abbas   +3 more
doaj   +1 more source

Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]

, 2006
We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre, Christoph Ortner, Süli, E, Endre Süli, Ortner, Christoph, Ortner, C   +5 more
core   +1 more source

On Local Super-Penalization of Interior Penalty Discontinuous Galerkin Methods

CoRR, 2012
Submitted to International Journal of Numerical Analysis and ...
Cangiani A., Chapman J., Georgoulis E. H., Jensen M.   +3 more
openaire   +4 more sources

Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]

, 2013
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3. An interior penalty (IP) method is introduced on a discrete surface and we derive a priori error estimates ...
Stinner, Björn, Madhavan, Pravin, Dedner, Andreas, Björn Stinner, Pravin Madhavan, Andreas Dedner   +5 more
core   +1 more source

Local discontinuous Galerkin methods for the Stokes system

, 2000
SAM Research Report, 2000 ...
Cockburn, B., Kanschat, Guido, Schötzau, Dominik, Schwab, Christoph   +3 more
openaire   +2 more sources

Efficient explicit time integration for the simulation of acoustic and electromagnetic waves [PDF]

, 2015
The efficient and accurate numerical simulation of time-dependent wave phenomena is of fundamental importance in acoustic, electromagnetic or seismic wave propagation.
Mehlin, Michaela
core   +1 more source

Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model [PDF]

, 2013
We design consistent discontinuous Galerkin finite element schemes for the approximation of a quasi-incompressible two phase flow model of Allen--Cahn/Cahn--Hilliard/Navier--Stokes--Korteweg type which allows for phase transitions.
Giesselmann, Jan, Jan Giesselmann, Tristan Pryer, Pryer, Tristan   +3 more
core   +2 more sources

Assessment of a Posteriori Positivity-Preserving Limiters for a Modal Discontinuous Galerkin Method Applied to Multicomponent Flows

Fluids
When computing high-order solutions of compressible multicomponent flows, numerical instabilities at shock waves and material interfaces must be mitigated without compromising accuracy.
Daniel Regener Roig, Francesco Mangini, Andrea Crivellini, Alessandro Colombo   +3 more
doaj   +1 more source