78 citations · 95 across the 7 of their papers we have counts for
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math.NA2014★ 11 cited
A Multiscale Method for Porous Microstructures
Donald L. Brown, Daniel Peterseim
In this paper we develop a multiscale method to solve problems in complicated porous microstructures with Neumann boundary conditions. By using a coarse-grid quasi-interpolation op…
math-ph2014★ 78 cited
An energy-stable convex splitting for the phase-field crystal equation
Philippe Vignal, Lisandro Dalcin, Donald L. Brown +2
The phase-field crystal equation, a parabolic, sixth-order and nonlinear partial differential equation, has generated considerable interest as a possible solution to problems arisi…