A fictitious domain method for Dirichlet problems using mixed finite elements

DOI10.1016/S0893-9659(99)00045-2zbMath0939.65122OpenAlexW2074016189MaRDI QIDQ1808505

Jean-François Maitre, Laurent Tomas

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(99)00045-2

zbMATH Keywords

Dirichlet problemcondition numbermixed finite elementserror estimatefictitious domain methodsaddle-point problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

Error analysis of a diffuse interface method for elliptic problems with Dirichlet boundary conditions, A general fictitious domain method with immersed jumps and multilevel nested structured meshes, Convergence analysis of theQ₁-finite element method for elliptic problems with non-boundary-fitted meshes, The penalty boundary method for combining meshes and solid models in finite element analysis

Cites Work

• Error analysis of a fictitious domain method applied to a Dirichlet problem
• An extension theorem for equilibrium finite elements spaces
• A Triangulation Algorithm for Fast Elliptic Solvers Based on Domain Imbedding
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item