High-order numerical schemes based on difference potentials for 2 D elliptic problems with material interfaces

  title={High-order numerical schemes based on difference potentials for 2 D elliptic problems with material interfaces},
  author={Jason Albright and Yekaterina Epshteyn and Michael Medvinsky and Qing Xia},
Numerical approximations and computational modeling of problems from Biology and Materials Science often deal with partial differential equations with varying coefficients and domains with irregular geometry. The challenge here is to design an efficient and accurate numerical method that can resolve properties of solutions in different domains/subdomains, while handling the arbitrary geometries of the domains. In this work, we consider 2D elliptic models with material interfaces and develop… CONTINUE READING


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