Analysis of the DPG method for the Poisson equation
L Demkowicz, J Gopalakrishnan - SIAM Journal on Numerical Analysis, 2011 - SIAM
… is to give a few new techniques to analyze DPG methods for problems in … Poisson equation,
we are not advocating that one should use the DPG method for the simple Poisson equation (…
we are not advocating that one should use the DPG method for the simple Poisson equation (…
An analysis of the practical DPG method
J Gopalakrishnan, W Qiu - Mathematics of Computation, 2014 - ams.org
… the discontinuous Petrov-Galerkin (DPG) method applied to the Laplace equation and the …
, we perform the error analysis for the practical DPG method for the Laplace equation. We also …
, we perform the error analysis for the practical DPG method for the Laplace equation. We also …
[PDF][PDF] Analysis of the DPG method for the Poisson equation
L Demkowicz, J Gopalakrishnan - 2010 - conservancy.umn.edu
… an analysis of a discontinuous Petrov-Galerkin (DPG) method for a simple model problem
involving the Poisson equation… a few new techniques to analyze DPG methods for problems in …
involving the Poisson equation… a few new techniques to analyze DPG methods for problems in …
Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation
… Petrov Galerkin (DPG) method for the Helmholtz equation. We analyze the method and give
… The details of the derivation are very similar to the case of the Poisson equation [6], so we …
… The details of the derivation are very similar to the case of the Poisson equation [6], so we …
A spacetime DPG method for the Schrodinger equation
L Demkowicz, J Gopalakrishnan, S Nagaraj… - … on Numerical Analysis, 2017 - SIAM
… The convergence of the DPG method based on the ultraweak formulation is investigated
using an interpolation operator. A stand-alone appendix analyzes the ultraweak formulation for …
using an interpolation operator. A stand-alone appendix analyzes the ultraweak formulation for …
An implicit-in-time DPG formulation of the 1D1V Vlasov-Poisson equations
… specify the DPG formulations for the Vlasov and Poisson equations, and the approach we
… Here, we offer a brief summary of the DPG method. For a fuller introduction, see the original …
… Here, we offer a brief summary of the DPG method. For a fuller introduction, see the original …
[HTML][HTML] Low-order dPG-FEM for an elliptic PDE
C Carstensen, D Gallistl, F Hellwig… - Computers & Mathematics …, 2014 - Elsevier
… –Galerkin (dPG) finite element method (FEM) for the Poisson model … This lowest-order
discretization for the Poisson model … the numerical analysis of the dPG finite element method. The …
discretization for the Poisson model … the numerical analysis of the dPG finite element method. The …
Using a DPG method to validate DMA experimental calibration of viscoelastic materials
F Fuentes, L Demkowicz, A Wilder - … Methods in Applied Mechanics and …, 2017 - Elsevier
… a DPG method. Second, it is to use such an implementation to validate calibration data directly
from dynamic mechanical analysis (… trait of the general DPG methodology which can be …
from dynamic mechanical analysis (… trait of the general DPG methodology which can be …
A unified discontinuous Petrov--Galerkin method and its analysis for Friedrichs' systems
… s equations. The results show that we not only recover several existing DPG methods, but also
discover new DPG methods … identical to those analyzed in [14] for the Poisson equation if f …
discover new DPG methods … identical to those analyzed in [14] for the Poisson equation if f …
A posteriori error control for DPG methods
… The first experiment solves the DPG method for the Laplace equation on the unit square
with load set so that the exact solution is u = sin(πx1) sin(πx2). For a series of successive …
with load set so that the exact solution is u = sin(πx1) sin(πx2). For a series of successive …