An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions
From MaRDI portal
Publication:2678493
DOI10.1016/j.cma.2022.115770OpenAlexW3021802753MaRDI QIDQ2678493
Tao Lin, Slimane Adjerid, Ruchi Guo, Ivo M. Babuška
Publication date: 23 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.13244
stabilitydiscontinuous Galerkin methodinterface problemshigh order approximationimmersed finite elements
Related Items (6)
Immersed virtual element methods for electromagnetic interface problems in three dimensions ⋮ A nonconforming immersed virtual element method for elliptic interface problems ⋮ 11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes ⋮ Multigrid algorithm for immersed finite element discretizations of elliptic interface problems ⋮ An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery ⋮ An immersed Crouzeix-Raviart finite element method in 2D and 3D based on discrete level set functions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stable generalized finite element method (SGFEM)
- Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
- 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
- A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions
- Least-squares finite element methods
- A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- The partition of unity finite element method: basic theory and applications
- Finite element methods and their convergence for elliptic and parabolic interface problems
- On the constants in \(hp\)-finite element trace inverse inequalities.
- Finite element method for epitaxial growth with attachment--detachment kinetics.
- New Cartesian grid methods for interface problems using the finite element formulation
- Discontinuous enrichment in finite elements with a partition of unity method
- Elliptic partial differential equations of second order
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- A finite element method for high-contrast interface problems with error estimates independent of contrast
- Higher degree immersed finite element spaces constructed according to the actual interface
- Nonconforming immersed finite element spaces for elliptic interface problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Strongly stable generalized finite element method (SSGFEM) for a non-smooth interface problem
- A fixed mesh method with immersed finite elements for solving interface inverse problems
- A rigorous condition number estimate of an immersed finite element method
- High-order extended finite element methods for solving interface problems
- An unfitted interface penalty finite element method for elliptic interface problems
- Strongly stable generalized finite element method: application to interface problems
- High degree discontinuous Petrov-Galerkin immersed finite element methods using fictitious elements for elliptic interface problems
- Stable generalized finite element method and associated iterative schemes; application to interface problems
- The finite element method for elliptic equations with discontinuous coefficients
- Higher-order finite element methods for elliptic problems with interfaces
- Immersed finite element method of lines for moving interface problems with nonhomogeneous flux jump
- CutFEM: Discretizing geometry and partial differential equations
- Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions
- A new multiscale finite element method for high-contrast elliptic interface problems
- Generalized Finite Element Methods: Their Performance and Their Relation to Mixed Methods
- Multiscale Finite Element Methods
- Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions
- An Interior Penalty Finite Element Method with Discontinuous Elements
- General interface problems—I
- General interface problems—II
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
- An Immersed Interface Method for Incompressible Navier--Stokes Equations
- On Roundoff Error Growth in Elliptic Problems
- Analysis of Island Dynamics in Epitaxial Growth of Thin Films
- Partition of unity enrichment for bimaterial interface cracks
- An immersed finite element space and its approximation capability
- Immersed finite element methods for parabolic equations with moving interface
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A group of immersed finite-element spaces for elliptic interface problems
- The Hitchhiker's Guide to the Virtual Element Method
- A Higher Degree Immersed Finite Element Method Based on a Cauchy Extension for Elliptic Interface Problems
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Higher-Order Immersed Finite Element Spaces for Second-Order Elliptic Interface Problems with Quadratic Interface
- Shape Methods for the Transmission Problem with a Single Measurement
- The Finite Element Approximation of the Nonlinear Poisson–Boltzmann Equation
- Evaluation of the condition number in linear systems arising in finite element approximations
- The Immersed Interface Method
- Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis
- The immersed interface method for the Navier-Stokes equations with singular forces
- An extended finite element method for modeling crack growth with frictional contact.
This page was built for publication: An enriched immersed finite element method for interface problems with nonhomogeneous jump conditions