Computational aspects of the ultra-weak variational formulation
By Tomi Huttunen, Peter B. Monk, Jari P. Kaipio. 2002
162 citations recorded by the source corpus.
Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c68e4c5141bfa5197c54a7fe3c1d07c8ec4fef1d
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Ilaria Perugia
- Radek Tezaur
- Jari Toivanen
- Pablo Gamallo
- Gwénaël Gabard
- Ralf Hiptmair
- Claude Jeffrey Gittelson
- L. Thompson
In Electrical and Electronic Engineering
- Ilaria Perugia
- Radek Tezaur
- Jari Toivanen
- Pablo Gamallo
- Gwénaël Gabard
- Ralf Hiptmair
- Claude Jeffrey Gittelson
- L. Thompson
In Mechanics of Materials
- Radek Tezaur
- Ilaria Perugia
- Pablo Gamallo
- Jari Toivanen
- Gwénaël Gabard
- Ralf Hiptmair
- Claude Jeffrey Gittelson
- L. Thompson
Citations in the corpus
- A comparison of wave‐based discontinuous Galerkin, ultra‐weak and least‐square methods for wave problems (2011, methodology): “‡The parameter is similar to that introduced in [12] except that its definition has been changed by a factor 0c 2 0/ so that now corresponds to a velocity.”
- A review of finite-element methods for time-harmonic acoustics (2006, methodology): “The ultra-weak variational formulation [37, 38, 101] is another approach to using discontinuous local plane-wave solutions of the Helmholtz equation on each element.”
- PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗ (2009, background): “On the other hand, extensive numerical experiments mainly conducted by Monk and collaborators indicate reliable convergence [21,22] for a wide range of wave propagation problems (without volume sources).”
- A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers (2009, methodology): “For example, the partition of unity method [20], the ultra weak variational formulation [4, 18], a least-squares method [21], and the discontinuous enrichment/Galerkin method [8, 9] can employ plane waves.”