A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
From MaRDI portal
Publication:780023
DOI10.1016/j.rinam.2020.100100zbMath1467.65108arXiv2003.01601OpenAlexW3012269771MaRDI QIDQ780023
Yuan Chen, Songming Hou, Xu Zhang
Publication date: 14 July 2020
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.01601
Related Items (11)
Optimal convergence analysis of the energy-preserving immersed weak Galerkin method for second-order hyperbolic interface problems in inhomogeneous media ⋮ Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems ⋮ Shape optimization with immersed interface finite element method ⋮ XIGA: an eXtended IsoGeometric analysis approach for multi-material problems ⋮ Solving Navier-Stokes equations with stationary and moving interfaces on unfitted meshes ⋮ Unnamed Item ⋮ Numerical approximation based on immersed finite element method for elliptic interface optimal control problem ⋮ Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions ⋮ A class of nonconforming immersed finite element methods for Stokes interface problems ⋮ A Cartesian grid based tailored finite point method for reaction-diffusion equation on complex domains ⋮ INN: interfaced neural networks as an accessible meshless approach for solving interface PDE problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable generalized finite element method (SGFEM)
- MIB method for elliptic equations with multi-material interfaces
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
- A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points
- Numerical analysis of blood flow in the heart
- 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 numerical method for solving three-dimensional elliptic interface problems with triple junction points
- Developments in Cartesian cut cell methods
- A nonconforming immersed finite element method for elliptic interface problems
- Superconvergence of immersed finite element methods for interface problems
- The finite element method for elliptic equations with discontinuous coefficients
- Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
- CutFEM: Discretizing geometry and partial differential equations
- The extended/generalized finite element method: An overview of the method and its applications
- Approximation capability of a bilinear immersed finite element space
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Superconvergence of partially penalized immersed finite element methods
- An immersed finite element space and its approximation capability
- A Numerical Method for Solving the Elliptic Interface Problems with Multi-Domains and Triple Junction Points
- A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions
- An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
This page was built for publication: A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points
