A discrete de Rham complex with enhanced smoothness
Discrete de Rham complexes are fundamental tools in the construction of stable elements for some finite element methods. The purpose of this paper is to discuss a new discrete de Rham complex in three space dimensions, where the finite element spaces have extra smoothness compared to...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2009
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/91827 http://hdl.handle.net/10220/4596 http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?url_ver=Z39.88-2004&ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rft.object_id=954933105326&sfx.request_id=192332&sfx.ctx_obj_item=0 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Discrete de Rham complexes are fundamental tools in the construction of stable elements for some finite element methods. The purpose
of this paper is to discuss a new discrete de Rham complex in three space dimensions, where the finite element spaces have extra smoothness compared to the standard requirements. The motivation for this construction is to produce discretizations which have uniform stability properties for certain families of singular perturbation problem. In particular, we show how the spaces constructed here lead to discretizations of Stokes type systems
which have uniform convergence properties as the Stokes flow approaches a Darcy flow. |
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