Error estimates of fictitious domain method with an \(H^1\) penalty approach for elliptic problems
DOI10.1007/s40314-021-01731-zzbMath1499.65724OpenAlexW4200177549MaRDI QIDQ2065014
Debasish Pradhan, Swapnil Kale
Publication date: 6 January 2022
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01731-z
error estimatespenalty methodfinite-element methoduniform meshcurved boundarydomain embedding method
Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Finite element methods applied to problems in fluid mechanics (76M10) Fictitious domain methods for boundary value problems involving PDEs (65N85)
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- A stabilized Nitsche fictitious domain method for the Stokes problem
- Numerical simulation of spilled oil by fictitious domain method
- A \(p\)-th degree immersed finite element for boundary value problems with discontinuous coefficients
- Error estimates for fictitious domain/penalty/finite element methods
- New Cartesian grid methods for interface problems using the finite element formulation
- The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition
- Error analysis of a fictitious domain method applied to a Dirichlet problem
- A fictitious domain method for Dirichlet problem and applications
- Coupling wavelets/vaguelets and smooth fictitious domain methods for elliptic problems: the univariate case
- Analysis of the fictitious domain method with penalty for elliptic problems
- A domain embedding method for mixed boundary value problems
- A unified fictitious domain model for general embedded boundary conditions
- The convergence of the bilinear and linear immersed finite element solutions to interface problems
- IMMERSED BOUNDARY METHODS
- The immersed boundary method
- Fixed Point Theorems for Mean Nonexpansive Mappings in CAT(0) Spaces
- Analysis of Finite Element Domain Embedding Methods for Curved Domains using Uniform Grids
- 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
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- The Mathematical Theory of Finite Element Methods
- A distributed Lagrange multiplier/fictitious domain method for particulate flows
- Non-iterative numerical solution of boundary-value problems
- A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
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