An optimal multigrid algorithm for the combining \(P_1\)-\(Q_1\) finite element approximations of interface problems based on local anisotropic fitting meshes
DOI10.1007/s10915-021-01536-6zbMath1477.65260OpenAlexW3169044318WikidataQ114225600 ScholiaQ114225600MaRDI QIDQ2037337
Publication date: 30 June 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01536-6
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Numerical computation of matrix norms, conditioning, scaling (65F35) Second-order elliptic equations (35J15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
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Cites Work
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- Second-order asymptotic algorithm for heat conduction problems of periodic composite materials in curvilinear coordinates
- A novel model for biofilm growth and its resolution by using the hybrid immersed interface-level set method
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Some new a priori estimates for second-order elliptic and parabolic interface problems
- The immersed interface method using a finite element formulation
- A level set approach for computing solutions to incompressible two-phase flow
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- Finite element methods and their convergence for elliptic and parabolic interface problems
- New Cartesian grid methods for interface problems using the finite element formulation
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- High-order extended finite element methods for solving interface problems
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- A finite element method for the simulation of strong and weak discontinuities in solid mechanics
- A cut finite element method for a Stokes interface problem
- The finite element method for elliptic equations with discontinuous coefficients
- An immersed discontinuous finite element method for Stokes interface problems
- Uniform a priori estimates for elliptic and static Maxwell interface problems
- On the accuracy of finite element approximations to a class of interface problems
- Optimal Finite Element Methods for Interface Problems
- UNIFORM CONVERGENT MULTIGRID METHODS FOR ELLIPTIC PROBLEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
- Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients
- On the Angle Condition in the Finite Element Method
- Elastic crack growth in finite elements with minimal remeshing
- The method of alternating projections and the method of subspace corrections in Hilbert space
- New crack‐tip elements for XFEM and applications to cohesive cracks
- Error Estimates for $\Cq_1$ Isoparametric Elements Satisfying a Weak Angle Condition
- Robust flux error estimation of an unfitted Nitsche method for high-contrast interface problems
- Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves
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