Implementation of a General Mesh Refinement Technique

1 Undergraduate student, University of California, San Diego, CA, U.S.A. 2 Professor, University of California, San Diego, U.S.A Abstract In this paper, we describe a pilot implementation of a hierarchical adaptive mesh refinement technique. While the focus is on the implementation in one-dimensional problems, the methodology is generic in nature in that it is equally applicable to the construction of adaptive approximations in multi-dimensional domains, as is also being demonstrated on some examples of steady-state heat conduction and other potential-like equations (EEG).