A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities

DOI10.1016/j.matcom.2023.03.012MaRDI QIDQ6104736

No author found.

Publication date: 28 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

interfacesPoisson equationimmersed interface methodcompact schemeimplicit finite differencesixth-order accuracy

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
• A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries
• Multigrid method and fourth-order compact scheme for 2D Poisson equation with unequal mesh-size discretization
• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
• An interpolation matched interface and boundary method for elliptic interface problems
• Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation
• Immersed interface methods for moving interface problems
• A projection method-based model with the exact C-property for shallow-water flows over dry and irregular bottom using unstructured finite-volume technique
• A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation
• A new weak Galerkin finite element method for elliptic interface problems
• High-order implicit finite difference schemes for the two-dimensional Poisson equation
• A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
• An immersed boundary neural network for solving elliptic equations with singular forces on arbitrary domains
• A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains
• A high-order immersed interface method free of derivative jump conditions for Poisson equations on irregular domains
• A fourth-order compact implicit immersed interface method for 2D Poisson interface problems
• A new eighth-order implicit finite difference method to solve the three-dimensional Helmholtz equation
• Sixth order compact finite difference schemes for Poisson interface problems with singular sources
• A second-order boundary condition capturing method for solving the elliptic interface problems on irregular domains
• A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity
• High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
• A comparison of numerical models for one-dimensional Stefan problems
• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients
• Simplified immersed interface methods for elliptic interface problems with straight interfaces
• The immersed boundary method
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• Convergence of the ghost fluid method for elliptic equations with interfaces
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
• The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
• The Immersed Interface Method for Simulating Two-Fluid Flows
• Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-Dimensional Flow Simulation
• The Immersed Interface Method
• Higher-Order, Cartesian Grid Based Finite Difference Schemes for Elliptic Equations on Irregular Domains

This page was built for publication: A compact sixth-order implicit immersed interface method to solve 2D Poisson equations with discontinuities