A MODIFIED IMMERSED FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS
From MaRDI portal
Publication:4971817
DOI10.1017/S1446181120000073zbMath1451.65174OpenAlexW4254149626MaRDI QIDQ4971817
No author found.
Publication date: 12 October 2020
Published in: The ANZIAM Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s1446181120000073
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) PDEs with low regular coefficients and/or low regular data (35R05) Finite volume methods for boundary value problems involving PDEs (65N08)
Related Items (4)
New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions ⋮ Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions ⋮ Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Energy-preserving finite volume element method for the improved Boussinesq equation
- Linear and bilinear immersed finite elements for planar elasticity interface problems
- A symmetric and consistent immersed finite element method for interface problems
- A finite element method for interface problems in domains with smooth boundaries and interfaces
- A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting
- A front-tracking method for viscous, incompressible multi-fluid flows
- Numerical analysis of blood flow in the heart
- The immersed finite volume element methods for the elliptic interface problems
- Finite element methods and their convergence for elliptic and parabolic interface problems
- New Cartesian grid methods for interface problems using the finite element formulation
- Nonconforming immersed finite element spaces for elliptic interface problems
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- Mortar finite elements for interface problems
- A nonconforming immersed finite element method for elliptic interface problems
- A conforming enriched finite element method for Stokes interface problems
- An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions
- Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model
- An unfitted interface penalty finite element method for elliptic interface problems
- A stabilized immersed finite volume element method for elliptic interface problems
- A partially penalty immersed Crouzeix-Raviart finite element method for interface problems
- A Fourier finite volume element method for solving two-dimensional quasi-geostrophic equations on a sphere
- Flow patterns around heart valves: A numerical method
- Level-set function approach to an inverse interface problem
- $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes
- A two-grid characteristic finite volume element method for semilinear advection-dominated diffusion equations
- A stabilizedP1-nonconforming immersed finite element method for the interface elasticity problems
- An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems
- An upwind finite volume element method based on quadrilateral meshes for nonlinear convection-diffusion problems
- Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems
- Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces
- Numerical Simulations of Unsteady Crystal Growth
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Lp error estimates and superconvergence for covolume or finite volume element methods
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- An immersed finite element space and its approximation capability
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- Alternating direction finite volume element methods for 2D parabolic partial differential equations
This page was built for publication: A MODIFIED IMMERSED FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC INTERFACE PROBLEMS
