Year: 2014
Type: preprint
Abstract: We propose and analyze a numerical method to solve an elliptic transmission problem in full space. The method consists of a variational formulation involving standard boundary integral operators on the coupling interface and an ultra-weak formulation in the interior. To guarantee the discrete inf-sup condition, the system is discretized by the DPG method with optimal test functions. We prove that principal unknowns are approximated quasi-optimally. Numerical experiments for problems with smooth and singular solutions confirm optimal convergence orders.
Source: arXiv (Cornell University)
Authors: Heuer, Norbert, Karkulik, Michael
Institution: Pontificia Universidad Católica de Chile
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Awards: G2964748641, G355011311, G5136694873
OpenAlex ID: W2949090803