Journal of Scientific Computing

, Volume 74, Issue 2, pp 805–825

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

• Riccardo Zamolo
• Lucia Parussini
• Valentino Pediroda
Article

## Abstract

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 $$\delta$$ 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).

### Keywords

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

65L10 65N35

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