The INTERNODES Method for Non-conforming Discretizations of PDEs

Author:

Gervasio Paola,Quarteroni Alfio

Publisher

Springer Science and Business Media LLC

Subject

General Medicine

Reference25 articles.

1. Bègue, C., Bernardi, C., Debit, N., Maday, Y., Karniadakis, G.E., Mavriplis, C., Patera, A.T.: Nonconforming spectral element-finite element approximations for partial differential equations. In: Proceedings of the Eighth International Conference on Computing Methods in Applied Sciences and Engineering (Versailles, 1987), vol. 75, pp. 109–125 (1989)

2. Bernardi, C., Maday, Y., Patera, A.T.: A new nonconforming approach to domain decomposition: the mortar element method. In: Nonlinear partial differential equations and their applications. Collège de France Seminar, vol. XI (Paris, 1989–1991), volume 299 of Pitman Res. Notes Math. Ser., pp. 13–51. Longman Sci. Tech., Harlow (1994)

3. Brauchli, H.J., Oden, J.T.: Conjugate approximation functions in finite-element analysis. Q. Appl. Math. 29, 65–90 (1971)

4. Dautray, R., Lions, J.-L.: Mathematical Analysis and Numerical Methods for Science and Technology, vol. 2. Springer, Berlin (2000)

5. Deparis, S., Forti, D., Gervasio, P., Quarteroni, A.: INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces. Comput. Fluids 141, 22–41 (2016)

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