Spectral penalty methods

By Jan S. Hesthaven. 2000

92 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e367e950fb46d1ebb067125b683473b1c088f4e6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. David I. Gottlieb
2. Zhongqiang Zhang
3. G. Em Karniadakis
4. E. Kharazmi
5. Jan S. Hesthaven

In Computational Mechanics

1. G. Em Karniadakis
2. E. Kharazmi
3. Zhongqiang Zhang
4. David I. Gottlieb
5. Jan S. Hesthaven
6. Andrea Manzoni
7. Chi-Wang Shu
8. Stefania Fresca

In Mechanics of Materials

1. David I. Gottlieb
2. Zhongqiang Zhang
3. G. Em Karniadakis
4. E. Kharazmi
5. Jan S. Hesthaven

Citations in the corpus

• Variational Physics-Informed Neural Networks For Solving Partial Differential Equations (2019, methodology): “Several spectral penalty methods have been developed in the literature, see e.g. [13, 17, 36].”
• Spectral methods for hyperbolic problems (2001, methodology): “This simple idea, put forward in the context of spectral methods in [7] in a weak formulation and in [19, 20] for the strong formulation considered here, has recently been developed further into a flexible technique to impose boundary conditions in pseudospectral approximations to a variety of probl”
• Continuation and Bifurcation Analysis of Delay Differential Equations (2007, unknown): “, Hesthaven [43]) instead of (34).”