Fictitious domain approach via Lagrange multipliers with least squares spectral element method

DOI10.1007/s10915-008-9212-xzbMath1203.65267OpenAlexW2031113632MaRDI QIDQ618421

Lucia Parussini

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-008-9212-x

zbMATH Keywords

Lagrange multipliersfictitious domainleast squares spectral element method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35)

Related Items

Algorithm for analysis of flows in ribbed annuli, The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries, A second order virtual node algorithm for Stokes flow problems with interfacial forces, discontinuous material properties and irregular domains, A second order virtual node algorithm for Navier-Stokes flow problems with interfacial forces and discontinuous material properties, An Immersogeometric Method for the Simulation of Turbulent Flow Around Complex Geometries, Prediction of geometric uncertainty effects on fluid dynamics by polynomial chaos and fictitious domain method, A second-order virtual node algorithm for nearly incompressible linear elasticity in irregular domains, Over-determined formulation of the immersed boundary conditions method, Distributed Lagrange multiplier functions for fictitious domain method with spectral/hp element discretization, Fictitious domain approach with \(hp\)-finite element approximation for incompressible fluid flow, Immersed boundary conditions method for heat conduction problems in slots with time-dependent geometry

Cites Work

• Discontinuous Galerkin spectral/\(hp\) element modelling of dispersive shallow water systems
• Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
• Modeling arteriolar flow and mass transport using the immersed boundary method
• Spectral/\(hp\) least-squares finite element formulation for the Navier-Stokes equations.
• The use of Chebyshev polynomials in the space-time least-squares spectral element method
• A Lagrange multiplier/fictitious domain method for the Dirichlet problem -- generalization to some flow problems
• A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
• The finite element method with Lagrangian multipliers
• A fictitious domain/mortar element method for fluid-structure interaction
• FICTITIOUS DOMAIN METHODS FOR THE NUMERICAL SOLUTION OF THREE-DIMENSIONAL ACOUSTIC SCATTERING PROBLEMS
• Domaines fictifs, éléments finis H(div) et condition de Neumann: le problème de la condition inf-sup
• A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies: (I) case where the rigid body motions are known a priori
• A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part 2: Neumann boundary conditions
• A fictitious domain decomposition method for the solution of partially axisymmetric acoustic scattering problems. Part I: Dirichlet boundary conditions
• A moving mesh fictitious domain approach for shape optimization problems
• A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item