A Cartesian grid embedded boundary method for the heat equation on irregular domains

A representation of curved boundaries for the solution of the Navier-Stokes equations on a staggered three-dimensional Cartesian grid

Journal of Computational Physics

A ghost-cell immersed boundary method for flow in complex geometry

Journal of Computational Physics

On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems

Journal of Computational Physics

A Cartesian grid embedded boundary method for hyperbolic conservation laws

Journal of Computational Physics

A Cartesian grid embedded boundary method for the heat equation and Poisson's equation in three dimensions

Journal of Computational Physics

An anelastic allspeed projection method for gravitationally stratified flows

Journal of Computational Physics

An adaptive, formally second order accurate version of the immersed boundary method

Journal of Computational Physics

A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity

Journal of Computational Physics

A general fictitious domain method with immersed jumps and multilevel nested structured meshes

Journal of Computational Physics

An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains

Journal of Computational Physics

A kernel-free boundary integral method for elliptic boundary value problems

Journal of Computational Physics

A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions

Journal of Computational Physics

A fixed-mesh method for incompressible flow-structure systems with finite solid deformations

Journal of Computational Physics

Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing

Journal of Computational Physics

An iterative boundary potential method for the infinite domain Poisson problem with interior Dirichlet boundaries

Journal of Computational Physics

High-Order Embedded Finite Difference Schemes for Initial Boundary Value Problems on Time Dependent Irregular Domains

Journal of Scientific Computing

Spatially adaptive stochastic numerical methods for intrinsic fluctuations in reaction-diffusion systems

Journal of Computational Physics

Handling solid-fluid interfaces for viscous flows: Explicit jump approximation vs. ghost cell approaches

Journal of Computational Physics

Nested Cartesian grid method in incompressible viscous fluid flow

Journal of Computational Physics

A high-order cut-cell method for numerical simulation of hypersonic boundary-layer instability with surface roughness

Journal of Computational Physics

The moving boundary node method: A level set-based, finite volume algorithm with applications to cell motility

Journal of Computational Physics

A Cartesian grid embedded boundary method for solving the Poisson and heat equations with discontinuous coefficients in three dimensions

Journal of Computational Physics

A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries

Journal of Computational Physics

A generative approach for image-based modeling of tumor growth

IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging

The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions

SIAM Journal on Numerical Analysis

Extrapolating tumor invasion margins for physiologically determined radiotherapy regions

MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I

A kernel-free boundary integral method for implicitly defined surfaces

Journal of Computational Physics