An exact-interface-fitted mesh generator and linearity-preserving finite volume scheme for anisotropic elliptic interface problems
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Publication:2671407
DOI10.1016/j.jcp.2022.111293OpenAlexW4280583040MaRDI QIDQ2671407
Yufeng Xu, Xiaoxin Wu, Guang-Wei Yuan, Ke-jia Pan
Publication date: 3 June 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111293
finite volume methodelliptic interface problemsanisotropic diffusion coefficientexact-interface-fitted meshlinearity-preserving scheme
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)
Uses Software
Cites Work
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- The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
- Some new a priori estimates for second-order elliptic and parabolic interface problems
- Linearity-preserving flux correction and convergence acceleration for constrained Galerkin schemes
- Removing the cell resonance error in the multiscale finite element method via a Petrov-Galerkin formulation
- A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries
- A finite volume method for approximating 3D diffusion operators on general meshes
- Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support
- Linearity preserving nine-point schemes for diffusion equation on distorted quadrilateral meshes
- Approximation of 2D and 3D diffusion operators with variable full tensor coefficients on arbitrary meshes
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A front-tracking method for viscous, incompressible multi-fluid flows
- Numerical analysis of blood flow in the heart
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- Approximation of diffusion operators with discontinuous tensor coefficients on distorted meshes.
- A finite volume method for the approximation of diffusion operators on distorted meshes
- An algorithm for aligning a quadrilateral grid with internal boundaries
- An interface-fitted mesh generator and virtual element methods for elliptic interface problems
- Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem
- Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies
- A boundary condition capturing method for Poisson's equation on irregular domains
- Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions
- An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions
- A second order Cartesian finite volume method for elliptic interface and embedded Dirichlet problems
- A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains
- New immersed finite volume element method for elliptic interface problems with non-homogeneous jump conditions
- Linearity-preserving monotone local projection stabilization schemes for continuous finite elements
- Finite volume formulation of the MIB method for elliptic interface problems
- Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method
- An interface-fitted subspace projection method for finite element simulations of particulate flows
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- A kernel-free boundary integral method for elliptic boundary value problems
- A second-order boundary-fitted projection method for free-surface flow computations
- Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
- Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids
- A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- A new multiscale finite element method for high-contrast elliptic interface problems
- Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell-Centered Triangular Grids
- A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
- Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities
- An Immersed Interface Method for Solving Anisotropic Elliptic Boundary Value Problems in Three Dimensions
- A New Discontinuous Finite Volume Method for Elliptic Problems
- An immersed interface method for anisotropic elliptic problems on irregular domains in 2D
- A partially penalty immersed interface finite element method for anisotropic elliptic interface problems
- An FE-FD Method for Anisotropic Elliptic Interface Problems
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- A Second-Order Positivity-Preserving Finite Volume Scheme for Diffusion Equations on General Meshes
- A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension
- The Immersed Interface Method
- Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants
