A high order Cartesian grid, finite volume method for elliptic interface problems

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Will Thacher, Hans Johansen, Daniel F. Martin

Published: 2023, Last Modified: 14 Nov 2025J. Comput. Phys. 2023EveryoneRevisionsBibTeXCC BY-SA 4.0
Abstract: Highlights•Developed a high order finite volume scheme for elliptic interface problems.•Demonstrated high order accuracy and robustness on a variety of tests.•Developed method for computing exact geometric information from implicit function.•Provided general truncation error analysis based on cell-centered Taylor expansions.•Extended advances in Embedded Boundary methods to elliptic interface problem.