An immersed finite element method for elliptic interface problems on surfaces
DOI10.1016/j.camwa.2022.11.016OpenAlexW4311988773MaRDI QIDQ2679369
Changyin Guo, Zhijun Tan, Xufeng Xiao, Xinlong Feng
Publication date: 19 January 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.016
Boundary value problems for second-order elliptic equations (35J25) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Uses Software
Cites Work
- Unnamed Item
- Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants
- The orthogonal gradients method: a radial basis functions method for solving partial differential equations on arbitrary surfaces
- On geodesic curvature flow with level set formulation over triangulated surfaces
- Level set equations on surfaces via the closest point method
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations
- A finite element method for surface PDEs: Matrix properties
- On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method
- A sharp interface method for incompressible two-phase flows
- Optimal convergence analysis of an immersed interface finite element method
- A finite volume method on general surfaces and its error estimates
- The numerical solutions of interface problems by infinite element method
- A marching method for the triangulation of surfaces
- A level set approach for computing solutions to incompressible two-phase 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
- A generalized finite difference method for solving elliptic interface problems
- The local tangential lifting method for moving interface problems on surfaces with applications
- A layers capturing type H-adaptive finite element method for convection-diffusion-reaction equations on surfaces
- A mesh-free method for interface problems using the deep learning approach
- MIB Galerkin method for elliptic interface problems
- Residual-based a posteriori error estimation for immersed finite element methods
- Superconvergence of immersed finite element methods for interface problems
- Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
- The finite element method for elliptic equations with discontinuous coefficients
- Analysis of the discontinuous Galerkin method for elliptic problems on surfaces
- Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements
- An Adaptive Surface Finite Element Method Based on Volume Meshes
- A Stefan problem on an evolving surface
- A Finite Element Method for Elliptic Equations on Surfaces
- The immersed boundary method
- Partially penalized immersed finite element methods for parabolic interface problems
- An h-narrow band finite-element method for elliptic equations on implicit surfaces
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- A Fast Iterative Algorithm for Elliptic Interface Problems
- An immersed finite element space and its approximation capability
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Solving PDEs with radial basis functions
- Homogeneous difference schemes
- A stabilized finite element method for advection-diffusion equations on surfaces
- Finite element methods for surface PDEs
- The Immersed Interface Method