The fully nonconforming virtual element method for biharmonic problems
Mathematical Models and Methods in Applied Sciences, ISSN: 0218-2025, Vol: 28, Issue: 2, Page: 387-407
2018
- 115Citations
- 14Captures
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Article Description
In this paper, we address the numerical approximation of linear fourth-order elliptic problems on polygonal meshes. In particular, we present a novel nonconforming virtual element discretization of arbitrary order of accuracy for biharmonic problems. The approximation space is made of possibly discontinuous functions, thus giving rise to the fully nonconforming virtual element method. We derive optimal error estimates in a suitable (broken) energy norm and present numerical results to assess the validity of the theoretical estimates.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85038356062&origin=inward; http://dx.doi.org/10.1142/s0218202518500100; https://www.worldscientific.com/doi/10.1142/S0218202518500100; http://www.worldscientific.com/doi/abs/10.1142/S0218202518500100; http://www.worldscientific.com/doi/pdf/10.1142/S0218202518500100
World Scientific Pub Co Pte Ltd
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