Stable high order FD methods for interface and internal layer problems based on non-matching grids

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06) Fictitious domain methods for boundary value problems involving PDEs (65N85)

Cites Work

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Shishkin mesh simulation: a new stabilization technique for convection-diffusion problems
An adaptive, formally second order accurate version of the immersed boundary method
A collection of 2D elliptic problems for testing adaptive grid refinement algorithms
Local adaptive mesh refinement for shock hydrodynamics
Special meshes for finite difference approximations to an advection- diffusion equation with parabolic layers
The dynamics of an elastic membrane using the impulse method
An adaptive version of the immersed boundary method
A two-grid method for solving elliptic problems with inhomogeneous boundary conditions
Two-grid Arrow-Hurwicz methods for the steady incompressible Navier-Stokes equations
A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods
A high order compact FD framework for elliptic BVPs involving singular sources, interfaces, and irregular domains
A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions
Sixth order compact finite difference schemes for Poisson interface problems with singular sources
A two-grid method for elliptic problem with boundary layers
Maximum principle preserving schemes for interface problems with discontinuous coefficients
Some new analysis results for a class of interface problems
A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations
The immersed boundary method
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
A Fast Iterative Algorithm for Elliptic Interface Problems
An Adaptive Mesh Refinement Strategy for Immersed Boundary/Interface Methods
Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
The Immersed Interface Method
On the Convergence of Discrete Approximations to the Navier-Stokes Equations
The optimization of methods of solving boundary value problems with a boundary layer
High Order Compact Schemes for Flux Type BCs
Accurate projection methods for the incompressible Navier-Stokes equations

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