A Comparison Study of Two Methods for Elliptic Boundary Value Problems
Jian Du, Shuqiang Wang, James Glimm, Roman Samulyak
TL;DR
This paper compares the embedded boundary method and various mixed finite element methods to solve elliptic boundary value problems, evaluating their effectiveness and accuracy.
Contribution
It provides a systematic comparison of two different numerical approaches for elliptic boundary value problems, highlighting their relative advantages.
Findings
Embedded boundary method shows robustness in complex geometries.
Mixed finite element methods offer higher accuracy in certain cases.
Comparison results guide method selection for elliptic problems.
Abstract
In this paper, we perform a comparison study of two methods (the embedded boundary method and several versions of the mixed finite element method) to solve an elliptic boundary value problem.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Numerical methods in engineering · Electromagnetic Simulation and Numerical Methods