Distributed Lagrange Multiplier Functions for Fictitious Domain Method with Spectral/hp Element Discretization

作者：Zamolo Riccardo^*; Parussini Lucia; Pediroda Valentino

来源：Journal of Scientific Computing, 2018, 74(2): 805-825.

DOI：10.1007/s10915-017-0464-1

• Fictitious domain
• Lagrange multipliers
• Spectral/hp element method
• Poisson problem
• Biharmonic problem

A fictitious domain approach for the solution of second-order linear differential problems is proposed; spectral/hp elements have been used for the discretization of the domain. The peculiarity of our approach is that the Lagrange multipliers are particular distributed functions, instead of classical Dirac (impulsive) multipliers. In this paper we present the formulation and the application of this approach to 1D and 2D Poisson problems and 2D Stokes flow (biharmonic equation).

• 出版日期2018-2