Works (4)
Updated: July 5th, 2023 15:36
2019 journal article
A direct method for accurate solution and gradient computations for elliptic interface problems
NUMERICAL ALGORITHMS, 80(3), 709–740.
author keywords: Elliptic interface problem; Accurate solution and gradient computation; Variable coefficient with discontinuities; Convergence proof; Discrete Green's function; Discrete elliptic maximum principle; Compact finite difference scheme
TL;DR:
A direct method without using the augmented variable is proposed for elliptic interface problems with a variable coefficient that can have a finite jump across an interface.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: April 2, 2019
2018 journal article
A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids
COMPUTERS & FLUIDS, 172, 549–563.
author keywords: Incompressible Stokes equations; Interface problem; Discontinuous viscosity; Marker and cell scheme; Staggered mesh; Uzawa method; Immersed interface method; Finite difference method
TL;DR:
A direct immersed interface method is proposed to solve two-phase incompressible Stokes equations with an interface and a piecewise constant viscosity on staggered grids that avoids the costs for introducing augmented variables and difficulties in solving them from the corresponding Schur complement system.
(via Semantic Scholar)
Sources: Web Of Science, ORCID, NC State University Libraries
Added: October 19, 2018
2018 journal article
ON MULTISCALE ADI METHODS FOR PARABOLIC PDEs WITH A DISCONTINUOUS COEFFICIENT
MULTISCALE MODELING & SIMULATION, 16(4), 1623–1647.
author keywords: ADI method; interface problems; discontinuous coefficient; multiscale; jump conditions; augmented variable; stability
TL;DR:
Alternating direction implicit (ADI) method is one of the most efficient methods in solving parabolic PDEs of initial and boundary value problems and it is challenging to develop efficient ADI methods.
(via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: January 7, 2019
2017 journal article
ACCURATE SOLUTION AND GRADIENT COMPUTATION FOR ELLIPTIC INTERFACE PROBLEMS WITH VARIABLE COEFFICIENTS
SIAM JOURNAL ON NUMERICAL ANALYSIS, 55(2), 570–597.
author keywords: elliptic interface problem; accurate gradient computation; variable coefficient with discontinuity; interface; M-matrix; convergence proof; discrete Green function
TL;DR:
Numerical examples for general elliptic interface problems have confirmed the theoretical analysis and efficiency of the new augmented method and second order convergence for the solution and the gradient from each side of the interface has also been proved.
(via Semantic Scholar)
europepmc.org (repository)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
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