TY  - GEN 
T1  - hp-discontinuous Galerkin method based on local higher order reconstruction
A1  - Dolejší, Vít
A1  - Solin, Pavel
JA  - Applied Mathematics and Computation
Y1  - 2015
N2  - We present a new adaptive higher-order finite element method (hp-FEM) for the solution of boundary value problems formulated in terms of partial differential equations (PDEs). The method does not use any information about the solved problem which makes it robust and equationindependent. It employs a higher-order reconstruction scheme over local element patches which makes it faster and easier to parallelize compared to hp-adaptive methods that are based on the solution of a reference problem on a globally hp-refined mesh. The method can be used for the solution of linear as well as nonlinear problems discretized by conforming or non-conforming finite element methods, and it can be combined with arbitrary a posteriori error estimators.
M1  - Preprint project = NCMM
M1  - Preprint year = 2015
M1  - Preprint number = 05
M1  - Preprint ID = NCMM/2015/05
ER  -