Publication: Efficient numerical solution of Neumann problems on complicated domains
Efficient numerical solution of Neumann problems on complicated domains
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Nicaise, S., & Sauter, S. A. (2006). Efficient numerical solution of Neumann problems on complicated domains. Calcolo, 43(2), 95–120. https://doi.org/10.1007/s10092-006-0118-4
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We consider elliptic partial differential equations with Neumann boundary conditions on complicated domains. The discretization is performed by composite finite elements. The a priori error analysis typically is based on precise knowledge of the regularity of the solution. However, the constants in the regularity estimates possibly depend critically on the geometric details of the domain and the analysis of their quantitative influence is rather involved. Here, we consider a polyhedral Lipschitz domain Ω with a possibly huge number of
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- Nicaise, S
- Sauter, S A
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Nicaise, S., & Sauter, S. A. (2006). Efficient numerical solution of Neumann problems on complicated domains. Calcolo, 43(2), 95–120. https://doi.org/10.1007/s10092-006-0118-4
