Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 38, Issue 3, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-019-0861-1
Keywords
Finite element; Hybrid methods; Discontinuous Galerkin; Helmholtz equation
Categories
Ask authors/readers for more resources
In this work, we propose a hybridized Continuous/Discontinuous Galerkin formulation for the Helmholtz problem that works with a continuous trace space. Additionally, it is done a static condensation analysis where we obtain a global system that is smaller than global systems generated by other current hybrid methods. Therefore, we conjecture that the computational effort of our formulation is lower than that of the classic DG methods. Furthermore, static condensation is proved as being a well-posed problem from a certain degree of mesh refinement. As result, we present the computational time for the method with continuous trace space compared with the computational time of a continuous Galerkin approach for a fixed polynomial approximation and different mesh refinements. Numerical results show the robustness and accuracy of our formulation as well as the potentiality of the present method.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available