A kernel-free boundary integral method for elliptic boundary value problems
Journal of Computational Physics
Short Note: A proof that a discrete delta function is second-order accurate
Journal of Computational Physics
Journal of Computational Physics
Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems
Journal of Computational Physics
A domain decomposition solver for acoustic scattering by elastic objects in layered media
Journal of Computational Physics
Finite Element Approximation of an Elliptic Boundary Value Problem with Interface
Numerical Analysis and Its Applications
A Coupling Interface Method for a Nonlinear Parabolic-Elliptic Problem
Numerical Analysis and Its Applications
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains
Journal of Computational Physics
A velocity decomposition approach for moving interfaces in viscous fluids
Journal of Computational Physics
Immersed Interface Difference Schemes for a Parabolic-Elliptic Interface Problem
Large-Scale Scientific Computing
A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems
Large-Scale Scientific Computing
Journal of Scientific Computing
A numerical algorithm for viscous incompressible interfacial flows
Journal of Computational Physics
The adaptive immersed interface finite element method for elliptic and Maxwell interface problems
Journal of Computational Physics
A sharp interface finite volume method for elliptic equations on Cartesian grids
Journal of Computational Physics
Analysis of an immersed boundary method for three-dimensional flows in vorticity formulation
Journal of Computational Physics
An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
Journal of Computational Physics
Optimal a priori estimates for higher order finite elements for elliptic interface problems
Applied Numerical Mathematics
A second order virtual node method for elliptic problems with interfaces and irregular domains
Journal of Computational Physics
Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces
Journal of Computational Physics
Numerical solution of a two-dimensional hyperbolic transmission problem
Journal of Computational and Applied Mathematics
Augmented coupling interface method for solving eigenvalue problems with sign-changed coefficients
Journal of Computational Physics
A full Eulerian finite difference approach for solving fluid-structure coupling problems
Journal of Computational Physics
Numerical modeling of transient two-dimensional viscoelastic waves
Journal of Computational Physics
Computers & Mathematics with Applications
A boundary condition capturing immersed interface method for 3D rigid objects in a flow
Journal of Computational Physics
Journal of Computational Physics
A numerical study of air-vapor-heat transport through textile materials with a moving interface
Journal of Computational and Applied Mathematics
An Analysis of a Broken $P_1$-Nonconforming Finite Element Method for Interface Problems
SIAM Journal on Numerical Analysis
The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions
SIAM Journal on Numerical Analysis
Journal of Computational Physics
An improved immersed boundary method with direct forcing for the simulation of particle laden flows
Journal of Computational Physics
A level-set continuum method for two-phase flows with insoluble surfactant
Journal of Computational Physics
Partially implicit motion of a sharp interface in Navier-Stokes flow
Journal of Computational Physics
Journal of Scientific Computing
Journal of Scientific Computing
Adaptive mesh refinement techniques for the immersed interface method applied to flow problems
Computers and Structures
A novel concept for the design of immersed interface methods
Journal of Computational Physics
A weak formulation for solving elliptic interface problems without body fitted grid
Journal of Computational Physics
A kernel-free boundary integral method for implicitly defined surfaces
Journal of Computational Physics
Numerical Methods for Two-Dimensional Stem Cell Tissue Growth
Journal of Scientific Computing
Journal of Computational and Applied Mathematics
Local enrichment of finite elements for interface problems
Computers and Structures
A level-set method for two-phase flows with moving contact line and insoluble surfactant
Journal of Computational Physics
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