An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients

DOI10.4208/cicp.OA-2019-0021zbMath1473.65215OpenAlexW3007701048MaRDI QIDQ5162145

Rihui Lan, Jinru Chen, Pengtao Sun, Hua Wang

Publication date: 1 November 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0021

zbMATH Keywords

inf-sup conditionoptimal convergenceconforming enriched finite elementinterface-unfitted meshStokes-elliptic interface problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

Deep Unfitted Nitsche Method for Elliptic Interface Problems

Cites Work

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• Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates
• The immersed interface method using a finite element formulation
• Finite element methods and their convergence for elliptic and parabolic interface problems
• New Cartesian grid methods for interface problems using the finite element formulation
• A conforming enriched finite element method for elliptic interface problems
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• A boundary condition capturing method for Poisson's equation on irregular domains
• Stabilized extended finite elements for the approximation of saddle point problems with unfitted interfaces
• Stable generalized finite element method and associated iterative schemes; application to interface problems
• Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
• 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
• Analysis of an XFEM Discretization for Stokes Interface Problems
• Estimate of the Convergence Rate of Finite Element Solutions to Elliptic Equations of Second Order with Discontinuous Coefficients
• Mixed and Hybrid Finite Element Methods
• Elastic crack growth in finite elements with minimal remeshing
• New crack‐tip elements for XFEM and applications to cohesive cracks
• Numerical Methods for Fluid-Structure Interaction — A Review
• A finite element method for crack growth without remeshing
• A partially penalty immersed interface finite element method for anisotropic elliptic interface problems
• A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions
• A Second Order Ghost Fluid Method for an Interface Problem of the Poisson Equation
• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction
• Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
• Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

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