Now showing items 1-4 of 4
Goal-oriented adaptivity using unconventional error representations for the multi-dimensional Helmholtz equation
(International Journal for Numerical Methods in Engineering, 2017-06-27)
In goal‐oriented adaptivity, the error in the quantity of interest is represented using the error functions of the direct and adjoint problems. This error representation is subsequently bounded above by element‐wise error ...
Goal-oriented adaptivity using unconventional error representations for the 1D Helmholtz equation
(Computers and Mathematics with Applications, 2015-12-31)
In this work, the error of a given output functional is represented using bilinear forms that are different from those given by the adjoint problem. These representations can be employed to design novel h, p, and hp ...
A stable discontinuous Galerkin-type method for solving efficiently Helmholtz problems
(Computers and Structures, 2012-12-31)
We propose a stable discontinuous Galerkin-type method (SDGM) for solving efficiently Helmholtz problems. This mixed-hybrid formulation is a two-step procedure. Step 1 consists in solving well-posed problems at the element ...
A modified discontinuous Galerkin method for solving efficiently Helmholtz problems
(Communications in Computational Physics, 2012-12-31)
A new solution methodology is proposed for solving efficiently Helmholtz problems. The proposed method falls in the category of the discontinuous Galerkin methods. However, unlike the existing solution methodologies, this ...