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Hans Johansen

Researcher at Lawrence Berkeley National Laboratory

Publications -  37
Citations -  1461

Hans Johansen is an academic researcher from Lawrence Berkeley National Laboratory. The author has contributed to research in topics: Adaptive mesh refinement & Finite volume method. The author has an hindex of 12, co-authored 30 publications receiving 1231 citations. Previous affiliations of Hans Johansen include University of California, Berkeley.

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A Cartesian Grid Embedded Boundary Method for Poisson's Equation on Irregular Domains

TL;DR: A numerical method for solving Poisson's equation, with variable coefficients and Dirichlet boundary conditions, on two-dimensional regions using a finite-volume discretization, which embeds the domain in a regular Cartesian grid.

Chombo Software Package for AMR Applications Design Document

TL;DR: Chombo Software Package for AMR Applications Design Document M. Ligocki, D. D. Sternberg, and B. Van Straalen Applied Numerical Algorithms Group Computational Research Division Lawrence Berkeley National Laboratory Berkeley, CA February 27, 2014.
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A Cartesian grid embedded boundary method for the heat equation on irregular domains

TL;DR: An algorithm for solving the heat equation on irregular time-dependent domains is presented, based on the Cartesian grid embedded boundary algorithm of Johansen and Colella, combined with a second-order accurate discretization of the time derivative.
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A Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation

TL;DR: A fourth-order accurate algorithm for solving Poisson's equation, the heat equation, and the advection-diffusion equation on a hierarchy of block-structured, adaptively refined grids and is easily extensible to more complex physical systems.