Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 1503-1512 |
| Number of pages | 10 |
| Journal | Computers and mathematics with applications |
| Volume | 68 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2014 |
| Externally published | Yes |
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Low-order dPG-FEM for an elliptic PDE. / Carstensen, C.; Gallistl, D.; Hellwig, F.; Weggler, L.
In: Computers and mathematics with applications, Vol. 68, No. 11, 2014, p. 1503-1512.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Low-order dPG-FEM for an elliptic PDE
AU - Carstensen, C.
AU - Gallistl, D.
AU - Hellwig, F.
AU - Weggler, L.
PY - 2014
Y1 - 2014
N2 - This paper introduces a novel lowest-order discontinuous Petrov–Galerkin (dPG) finite element method (FEM) for the Poisson model problem. The ultra-weak formulation allows for piecewise constant and affine ansatz functions and for piecewise affine and lowest-order Raviart–Thomas test functions. This lowest-order discretization for the Poisson model problem allows for a direct proof of the discrete inf–sup condition and a complete a priori and a posteriori error analysis. Numerical experiments investigate the performance of the method and underline the quasi-optimal convergence.
AB - This paper introduces a novel lowest-order discontinuous Petrov–Galerkin (dPG) finite element method (FEM) for the Poisson model problem. The ultra-weak formulation allows for piecewise constant and affine ansatz functions and for piecewise affine and lowest-order Raviart–Thomas test functions. This lowest-order discretization for the Poisson model problem allows for a direct proof of the discrete inf–sup condition and a complete a priori and a posteriori error analysis. Numerical experiments investigate the performance of the method and underline the quasi-optimal convergence.
U2 - 10.1016/j.camwa.2014.09.013
DO - 10.1016/j.camwa.2014.09.013
M3 - Article
VL - 68
SP - 1503
EP - 1512
JO - Computers and mathematics with applications
JF - Computers and mathematics with applications
SN - 0898-1221
IS - 11
ER -